ANALYTICAL INVESTIGATION FOR THE SOLARHEAT DRIVEN COOLING AND HEATING SYSTEMFOR THE CLIMATIC CONDITION OF DHAKA
Submitted byRIFAT ARAROUF
Student nOP040909400 1PSession April- 2009
111111 1111 111 III III113260
Department of MathematicsBANGLADESH UNIVERSITY OF ENGINEERING AND
TECHNOLOGY DHAKA-IOOOJuly-2014
bullbullbullbullbull _ bullbullbullbull _ _ bullbull 4 bullbull __ ~ __ bullbull __- --_ bullbullbullbullbullbullbullbull _ bullbull _ bullbullbull __ __ bullbullbullbullbull
c
wi
This thesis entitled Analytical Investigation for the Solar Heat Driven Coolingand Heating System for the Climatic Condition of Dhaka submitted by RifatAra Rouf Roll nOP0409094001P Registration no 0403447 Session April-2009 hasbeen accepted as satisfactory in partial fulfillment of the requirement for the degree ofDoctor of Philosophy in Mathematics on 12th July 2014
Board of Examiners
1
2
-~tY
Dr Md Abdul Hakim KhanProfessorDepartment of MathematicsBUET Dhaka-lOOO(Supervisor)
At~Dr K C Amanul AlamAssociate ProfessorDepartment of Electronics and Communication EngineeringEast-West University Dhaka-1212(Co-Supervisor)
Chairman
Member
3 _HeadDepartment of MathematicsBUET Dhaka-lOOO
4D~ProfessorDepartment of MathematicsBUET Dhaka-1 000
11
Member (Ex-Officio)
Member
5 Dr MdManiml AlamSarkerProfessor
Departl11ent of Mathematics aUETJ)haka-1 000
Member
~ I 7bull _
6 (dJ~[)r~MdQuamml Islam
bullProfessor OepaTtrrentof MechaniCalEngineeringBOOT lgthaka-IQOO
-
Member
Member
c bull
)n-~~7bull~_(_~-_v_) _
DrAKJvL Sadml IslamPrOfessor Department of Mechanical EngineeringBUET Dhaka-IOOO(Professor Dept ofMechariical and Chemical Engineering
IslarnicUniversity of Technology Gazipur)
)
DLMd Abdur RazzaqAkhandaPrOfessorDepartment of Mechanical and Chemical EngineeringIslamic University of Technology Gazipur
Member (External)
iii
--- __ ----~-----_ _
DEDICATION
This work is dedicatedto
My beloved parents Khaleda Begum and Md Abdur Rouf
tV
Candidates Declaration
It is hereby declared that this thesis or any part ofit has not been submitted elsewhere(Universities or Institutions) for the award of any degree or diploma
~A~Rifat Ara Rouf
12th July 2014
v
___ ctr --- ---- _ -
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
wi
This thesis entitled Analytical Investigation for the Solar Heat Driven Coolingand Heating System for the Climatic Condition of Dhaka submitted by RifatAra Rouf Roll nOP0409094001P Registration no 0403447 Session April-2009 hasbeen accepted as satisfactory in partial fulfillment of the requirement for the degree ofDoctor of Philosophy in Mathematics on 12th July 2014
Board of Examiners
1
2
-~tY
Dr Md Abdul Hakim KhanProfessorDepartment of MathematicsBUET Dhaka-lOOO(Supervisor)
At~Dr K C Amanul AlamAssociate ProfessorDepartment of Electronics and Communication EngineeringEast-West University Dhaka-1212(Co-Supervisor)
Chairman
Member
3 _HeadDepartment of MathematicsBUET Dhaka-lOOO
4D~ProfessorDepartment of MathematicsBUET Dhaka-1 000
11
Member (Ex-Officio)
Member
5 Dr MdManiml AlamSarkerProfessor
Departl11ent of Mathematics aUETJ)haka-1 000
Member
~ I 7bull _
6 (dJ~[)r~MdQuamml Islam
bullProfessor OepaTtrrentof MechaniCalEngineeringBOOT lgthaka-IQOO
-
Member
Member
c bull
)n-~~7bull~_(_~-_v_) _
DrAKJvL Sadml IslamPrOfessor Department of Mechanical EngineeringBUET Dhaka-IOOO(Professor Dept ofMechariical and Chemical Engineering
IslarnicUniversity of Technology Gazipur)
)
DLMd Abdur RazzaqAkhandaPrOfessorDepartment of Mechanical and Chemical EngineeringIslamic University of Technology Gazipur
Member (External)
iii
--- __ ----~-----_ _
DEDICATION
This work is dedicatedto
My beloved parents Khaleda Begum and Md Abdur Rouf
tV
Candidates Declaration
It is hereby declared that this thesis or any part ofit has not been submitted elsewhere(Universities or Institutions) for the award of any degree or diploma
~A~Rifat Ara Rouf
12th July 2014
v
___ ctr --- ---- _ -
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
5 Dr MdManiml AlamSarkerProfessor
Departl11ent of Mathematics aUETJ)haka-1 000
Member
~ I 7bull _
6 (dJ~[)r~MdQuamml Islam
bullProfessor OepaTtrrentof MechaniCalEngineeringBOOT lgthaka-IQOO
-
Member
Member
c bull
)n-~~7bull~_(_~-_v_) _
DrAKJvL Sadml IslamPrOfessor Department of Mechanical EngineeringBUET Dhaka-IOOO(Professor Dept ofMechariical and Chemical Engineering
IslarnicUniversity of Technology Gazipur)
)
DLMd Abdur RazzaqAkhandaPrOfessorDepartment of Mechanical and Chemical EngineeringIslamic University of Technology Gazipur
Member (External)
iii
--- __ ----~-----_ _
DEDICATION
This work is dedicatedto
My beloved parents Khaleda Begum and Md Abdur Rouf
tV
Candidates Declaration
It is hereby declared that this thesis or any part ofit has not been submitted elsewhere(Universities or Institutions) for the award of any degree or diploma
~A~Rifat Ara Rouf
12th July 2014
v
___ ctr --- ---- _ -
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
--- __ ----~-----_ _
DEDICATION
This work is dedicatedto
My beloved parents Khaleda Begum and Md Abdur Rouf
tV
Candidates Declaration
It is hereby declared that this thesis or any part ofit has not been submitted elsewhere(Universities or Institutions) for the award of any degree or diploma
~A~Rifat Ara Rouf
12th July 2014
v
___ ctr --- ---- _ -
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
Candidates Declaration
It is hereby declared that this thesis or any part ofit has not been submitted elsewhere(Universities or Institutions) for the award of any degree or diploma
~A~Rifat Ara Rouf
12th July 2014
v
___ ctr --- ---- _ -
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
-__~_- - ----_-_ _-
Acknowledgement
Praise be to Allah the most gracious the most merciful
I convey my deep respect and gratitude to Dr Md Abdul Hakim Khan Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for his support guidance and cooperation throughout the thesis work
I am grateful and express my profound appreciation to Dr K C Amanul Alam
Associate Professor Department of Electronics and Communication Engineering
East-West University Bangladesh for his generosity continuous guidance during the
whole period of my research work Also I am indebted to him for his valuable time
and patience in thepreparation of this thesis paper
I express my profound gratitude to my collaborative researchers Dr Francis Meunier
Professor Emeritus at Conservatoire National des Arts et Metier (Paris) France Dr
Bidyut Baran Saha Professor at Interdisciplinary Graduate School of Engineering
Sciences and International Institute for Carbon-Neutral Energy Research (WPI-
I2CNER) Kyushu University Japan and Dr Ibrahim 1 EI-Sharkawy Associate
Professor Mechanical Power Engineering Department Faculty of Engineering
Mansoura University Egypt and Research Fellow Faculty of Engineering Sciences
Kyushu University Japan for sharing their knowledge support and above all their I
acceptance My gratitude towards all of my teachers Department of Mathematics
Bangladesh University of Engineering and Technology Dhaka for the lessons and
philosophy they shared with me throughout these years Specially Dr Md Mustafa
Kamal Chowdhury Professor Department of Mathematics Bangladesh University of
Engineering and Technology Dhaka Dr Md Manirul Alam Sarker Professor
Department of Mathematics Bangladesh University of Engineering and Technology
Dhaka for their guidance encouragement and support Dr Md Abdul Alim
Professor Department of Mathematics Bangladesh University of Engineering and
Technology Dhaka for his-recognition and support whenever I needed My immense
appreciation to Dr Md Quamrul Islam Professor Department of Mechanical
VI
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
~---__- -----__ __
Engineering Bangladesh University of Engineering and Technology Dhaka Dr A
K M Sadrul Islam Professor Department of Mechanical Engineering Bangladesh
University of Engineering and Technology Dhaka (BUET) for their valuable remark
and advice
My special appreciation towards Dr Mohammed Anwer Professor School of
Engineering and Computer Science Independent University Bangladesh for his
encouragement My respected teachers Professor A F M Khodadad Khan Professor
Department of Physical Sciences School of Engineering and Computer Science
Independent University Bangladesh Professor Dr M ~war Hossain Ex President(
Bangladesh Mathematical Society Dr Amal Krishna Halder Professor Department
of Mathematics University of Dhaka for their confidence in me affection throughout
my student life and guidance whenever I needed I want to remember my respected
mentor Late Professor Dr Farrukh Khalil who would have been greatly happy over
this achievement 1thank his departed soul for his affection and encouragement in my
professional and student life
I acknowledge Renewable Energy Research Center (RERC) University of Dhaka for
providing insolation (solar irradiation) data of Dhaka station and Bangladesh
Meteorology Department (BMD) for providing climatic data
I would like to thank all of my friends and colleagues for their rally round and
understanding specially Khaled Mahmud Sujan in organizing this thesis and Md
Abdur Rahman for data collection Last but not the least my parents and my family
My absolute gratitude towards my parents without their advice and support it was
impossible to continue and complete this thesis I express my heartfelt thanks to myt
husband Ahsan Uddin Chowdhury and daughters Maliha Tanjurn Chowdhury and
Nazifa Tasneem Chowdhury for their encouragement support patience and
understanding
Vll
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
_ _--_--- -
Abstract
Solar powered adsorption cooling system had been investigated with different
adsorbateadsorbent pair For the climatic condition of Tokyo utilizing silica gel-
water pair at least 15 collectors with cycle time 1500s have been found to be
necessary to get required bed temperature of 85degC Thus maximum cyclic average
cooling capacity has been reported as 10kW at noon Following this investigation a
similar scheme has been taken in to consideration to utilize the climatic data of Dhaka
for solar heat driven room cooling purpose As Dhaka (Latitude 23deg46N Longitude
9023E) isa tropical region and shortage in energy sector is a burning issue for this
mega city if solar insolation can be properly utilized for space cooling or cold storage
purposes country could gain a reasonable backup in energy sector Based on these
possibilities an analytical investigation of solar heat driven adsorption cooling system
has been done based on the climatic condition of Dhaka where a two bed basic
adsorption chiller with silica gel-water pair as adsorbent and adsorbate have been
considered The climatic data of a typical hot day of summer has been chosen in order
to investigate for the optimum projection area performances based on different
collector number and cycle time For the climatic condition of Dhaka 22 solar
thermal collectors consisting of a gross 0(5313m2 projection area with 800s cycle
time is needed for maximum cooling capacity of 119 kW For enhancement of
chiller working hours a storage tank has been added with the adsorption cooling
system in two different ways It is observed that storage tank not only supports the
chiller to remain active for a longer time till 220h at night but also prevents loss of
heat energy Furthermore installed solar thermal collectors along with the hot water
storage tank could be utilized for hot water supply for house hol~ use during the
winter season which could again save notable amount of energy from primary energy
sources like natural gas and electricity which are used for cooking and for water
heating purposes
VIp
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
CONTENTS
Board of Examiners
Candidates Declaration
Acknowledgements
Abstract
Nomenclature-
List of Tables
List of Figures
ii
v
vi
viii
xiii
xiv
xv
CHAPTERl (
Introduction11 Introduction
12 History of Ancient Refrigeration
121 Nocturnal Cooling
122 Evaporative Cooling
123 Cooling by Salt Solutions
124 Time Line
13 Science in Adsorption Process
131 Adsorption Equilibria
132 Adsorbates and Adsorbents
J 33 Heat of Adsorption134 Adsorbent Used in The Thesis Work
14 Literature Review
15 Refrigeration Cycle and Their Development
151 Thermodynamics of Refrigeration
Cycle
152 Traditional Vapor Compression Cycle
153 Absorption Refrigeration Cycle
154 Basic Adsorption CyCle
IX
1
1
2
2
2
3
5
6
7
8
10
10
11
13
13
13
14
17
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138
16 Advanced Adsorption Refrigeration Cycle
161Heat Recovery Adsorption(
Refrigeration Cycle
162 Mass Recovery Adsorption
Refrigeration Cycle
163 Multi-stage and Cascading Cycle
17 Solar Adsorption Cooling
171 Solar Thermal Collector
18 Importance of The Present Thesis Work
19 Objectives of The Present Thesis Work
110 Outline of The Thesis
CHAPTER 2
Solar Adsorption Cooling Based on the
Climatic Condition of Dhaka21 Introduction
22 System Description
23 Formulation
231 Solar System
232 Simulation Procedure
24 Result and Discussion
241 Adsorption Unit Performances for Different
Number of Collectors
242 Adsorption Unit Performances for Different
Cycle Time
243 Effect of Operating Conditions
25 Summary
x
18
18
26
27
353537
3738
39
39
4041
45
4750
51
54
6071
r ~-I
I j
------
CHAPTER 3
Yearly Analysis of the Solar Adsorption
Cooling for the Climatic Condition of
Dhaka
31 Introduction
32 Result and Discussion
33 Summary
CHAPTER 4
Implementation of Heat Storage with Solar
Adsorption Cooling Enhancement of
System Performance
41 Introduction
42 System Description
43 Mathematical Formulation
44 Result and Discussion
45 Summary
CHAPTERS
Hot Water Supply During Winter Season
Utilization of Solar Thermal Collectors51 Introduction
52 System Description and Mathematical Equations
53 Result and Discussion
54 Summary
CHAPTER 6
Conclusion and Future Work
Xl
73
73
73
88
89
899094
95
119
121
121
122
124
127
128
-
Future work
References
Publications from this Thesis Work
Xli
131
133137
r
Nomenclature
A Area (m2)
q Concentration (kg refrigerant kgadsorbent)
Eo Activation energy (Jkg-J) bull Concentration at equilibriumq(kg refrigerant kg adsorbent)
L Latent heat of vaporization Jkg-1) QSI Isosteric heat of adsorption (Jkg-1)m Mass flow rate (kgs-I Pc Condensing pressure (Pa)P Pressure (Pa) PE EVaporating pressure (Pa)Ps Saturated vapor pressure (Pa) T Temperature (K)RgoS Gas constant (Jkg-tK-t) t Time (s)
Rp Average radius of a particle (m) U Overall heat transfer coefficient(Wm-2K-t)
W Weight (kg) Dso Pre-exponential constant (1112 S-l )Cp Specific heat (Jkg-t K-1)
AbbreviationCACC Cyclic average cooling capacity (kW) THs High temperature
COP Coefficient of performance QHS Heat in high temperature
Tcs Intermediate temperature Qcs Heat in intermediate temperature
V Valve SE AdsorptionDesorption bed
S b tu sen 01Sads Adsorber or adsorption des Desorber or desorptionCond condenser eva EvapotatorChill Chilled water Hex Heat exchangercw Cooling water Hw Hot waterIn inlet out Outlets Silica gel w Waterf3 Affinity coefficient e Fractional loading0 vanance
XliI
------------- __--------~ -_- --- _- _ -
I
r~-I
i
List of Tables
21 Numerical values of the coefficients ais and bits 45
22 Design and the operating conditions used in the simulation 49
23 Design of cycle time 61
24 Performance of different design of cycle time 65
31 Climatic data for several months 78
41 Design of the solar adsorption cooling system with storage t~ 9142 Choices of the cycle time 91
-
43 Design of Reserve tank
XIV
94
I
List of Figures
II
Figure 11
Figure 12
Figure 13
Figure 14
Figure 14
Figure 14
Figure 14
Figure 15
Figure 16
Figure 17
Figure 18
Typical single stage vapor compression refrigeration source
Heat pump and refrigeration cycle Wikipedia [2014]
Source Heat pump and refrigeration cycle Wikipedia [2014]
The vapor absorption system source Images of absorption
refrigeration cycle [2014]
a) Clapeyron and schematic diagram of heating and
pressurization mode Source Principle of adsorption cycles
for refrigeration or heat pumping [2014]
b) Clapeyron and schematic diagram of heating and
desorption condensation mode Source Principle of
adsorption cycles for refrigeration or heat pumping [2014]
c) Clapeyron and schematic diagram of cooling and
depressurization mode Source Principle of adsorption
cycles for refrigeration or heat pumping [2014]
d) Clapeyron and schematic diagram of cooling and
adsorption mode Source Principle of adsorption cycles for
refrigeration or heat pumping [2014]
Clapeyron diagram of ideal adsorption cycle source Farid
[2009]
Schematic diagram of single stage two bed basic adsorption
cooling system
Schematic diagram of heat recovery two-bed adsorption
refrigeration system at heat recovery mode when heat is
transported from desorber SE2to adsorber SEI
Clapeyron diagram of mass recovery cycle source Farid
[2009]
xv
15
16
16
19
20
21
22
23
24
25
28
Figure 19 Conceptual P-T-X diagram for conventional and two stage 30
adsorption cycles ( source Alam et al [2004])
Figure 110 Schematic diagram of a two stage adsorption chiller 31
Figure 111 Schematic diagram of four bed adsorption refrigeration 33
cascading cycle of mass recovery (source Akahira et al
[2005])
Figure 112 Artists view of compound parabolic concentrator (CPC) 36
collector Source Alamet al [2013]
Figure 21 Schematic diagram of Solar cooling adsorption installation 42 Figure 22 Solar insolation simulated and measured for the month of 48
April
Figure 23 Performance of the chiller for different number of collectors 52 (a) Cooling capacity for different number of collectorsII Figure 23 Performance of the chiller for different number of collectors 53
~ (b) Coefficient of performance in a cycle for differentrnumber of Collectors
Figure 23 Performance of the chiller for different number of collectors 53
(c ) COPsc for different number of collectors
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (a) Cooling capacity of adsorption unit
for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 56
optimum cycle time (b) Coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their 57
optimum cycle time (c) Solar coefficient of performance in a
cycle of adsorption unit for different collectors amp their
optimum cycle time
XVI
Figure 24
Figure 25
Figure 25
(
Solar adsorption cooling for different collectors amp theiroptimum cycle time (d) COP solarnet for differentcollectors amp their optimum cycle timeAdsorbed temperature of the collector outlet and adsorbent
bed for (a) 24 collectors cycle time 600s
Adsorbed temperature of the collector outlet and adsorbent
bed for (b) 22 collectors cycle time 800s
Figure 26 Temperature histories of the evaporator outlet for different
collector number and cycle time at peak hours
Figure 27 Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (a) uniform
cycle 800s
57
58
58
59
62
Figure 27
Figure 27
Figure 28
Figure 28
Figure 28
Figure 29
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (b) 22 collectors
with non uniform cycle starting from 800s decreasing from
140h
Temperature history of different heat exchangers for 22
collectors for different choices of cycle time (c) 22 collectors
nonuniform cycle starting from 550s increasing till 140h
then decreasing
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (a) Cyclic average
cooling capacity
Performance of solar adsorption coolingfor 22 collectors
with different choices of cycle time (b) Coefficient of
Performance in a cycle
Performance of solar adsorption cooling for 22 collectors
with different choices of cycle time (c) Coefficient of
Performance of solar in a cycle
Evaporator outlet for different choice of cycle time at peak
XVII
62
63
63
64
64
66
rttI
-
Figure210
Figure 710
Figure 211
Figure 211
Figure 211
Figure 212
Figure 31
Figure 31
Figure 31
Figure 31
hours
Te~perature history different heat exchangers with 22
collectors cycle time 800s for (a) chilled water flow 03 kgs
Temperature history different heat exchangers with 22
collectors cycle time 800s for (b) chilled water flow 1 kgs
Performance of solar -adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (a) CACC
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (b) COP
cycle -
Performance of solar adsorption cooling for 22 collectors
cycle time 800s with different chilled water flow (c) COPsc
Evaporator outlet for different amount of chilled water flow
Solar radiation data for several months ofthe year
(a) March
Solar radiation data for several months of the year
(b) April
Solar radiation data for several months of the year
(c) June
Solar radiation data for several months of the year
(d) August
68
68
69
69
70
70
74
74
75
75
Figure 31
bullbullbull
Solar radiation data for several months of the year
(e) October
Figu re 31 Solar radiation data for several months of the year
(t) December
Figure 32 Temperature profile of the heat exchangers for
-different months with 22 collectors cycle time 800s (a)
March
XVIII
76
76
80
Figure 32 Temperature profile of the heat exchangers for different 80
months with 22 collectors cycle time 800s (b) April
( Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (c)June
Figure 32 Temperature profile of the heat exchangers for different 81
months with 22 collectors cycle time 800s (d) August
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (e) October
Figure 32 Temperature profile of the heat exchangers for different 82
months with 22 collectors cycle time 800s (f) December
Figure 33 Comparative Performances of the chiller for different 83
months (a)CACC
I Figure 33 Comparative Performances of the chiller for different 84
months (b) eOPcycle)
Figure 33 Comparative Performances of the chiller for different 84
months (c) COPse
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time-(a) March
Figure 34 Chilled water outlet temperature for different month and 85
different cycle time (b) April
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (c) June
Figure 34 Chilled water outlet temperature for different month and 86
different cycle time (d) August
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (e) October
Figure 34 Chilled water outlet temperature for different month and 87
different cycle time (f) December
Figure 41 Schematic diagram of solar adsorption cooling run by 92
XIX
gt
storage tank design 1
Figure 42 Schematic diagram of solar adsorption cooling run by 92
storage tank design 1
gt Figure 43 Schematic diagram of solar adsorption cooling run by 93
storage tank design 2
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors andcycle time on the
first day design 1 (a) 20collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 97
tank for different number of collectors and cycle time on the
first day design 1 (b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (c) 22 collectors cycle time 1800s
Figure 44 Temperature histories of collector outlet bed and reserve 98
tank for different number of collectors and cycle time on the
first day design 1 (d) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for 100three consecutive days for design 1 (a) 22 collectors cycle
time 1400s
Temperature histories of different heat transfer units forFigure 45 100
three consecutive days for design 1(b) 30 collectors cycle
time 1400s
Figure 46 Temperature histories of the heat transfer units at steady 101
statewith (a) 22 collectors and cycle time 1400s design 1
Figure 46 Temperature histories of the heat transfer units at steady 101
state with (b22 collector and cycle time 1800s design 1
Figure 46 Temperature histories of the heat transfer units at steady 102
xx
~I
state with (c) 30 collector and cycle time 1400s design 1
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (a) cyclic average cooling capacity
Figure 47 performance of solar adsorption cooling system with storage
tank design 1(b) COPcycle
Figure 47 Performance of solar adsorption cooling system with storage
tank design 1 (c) COP solarnet
Figure 48 (a) Comparative CACC with optimum collector area and
cycle time for direct solar coupling and storage tank design 1
Figure 48 (b) Comparative COPsolarnet with optimum collector area
and cycle time for direct solar coupling and storage tank
design 1
Figure 49 Temperature histories of different heat transfer units for
three consecutive days with 30 collectors cycle time 1400s
for design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (a) 22 collector and cycle time 1400s design 2
Figure 410 Temperature histories of the heat transfer units at steady
state with (b) 30 collector and cycle time 1400s design 2
Figure 411 The adsorption chiller for different number of collectors
and different cycle time at steady state design 2 (a) cyclic
average cooling capacity
Figure 411 The adsorption chiller for different number of collectors
- and different cycle time at steady state design 2 (b) COP
cycle
Figure 411 The adsorption chiller for different numb~r of collectors
and different cycle time at steady state design 2 (c)
COPsolarnet
Figure 412 The adsorption chiller for different number of collectors
XXI
104
105
105
106
106
107
109
109
110
110
III
111
Figure 412
Figure 412
Figure 413
Figure 413
Figure 413
Figure 414
Figure 415
Figure 4J5
and different cycle time at steady state design 1 amp 2 (a)
cyclic average cooling capacity
The adsorption chiller for different number of collectors 112
and different cycle time at steady state design 1amp 2 (b)
COP cycle
The adsorption chiller for different number of collectors 112
and different cycle time at steady sta~e design 1 amp 2 (c)
COPsolarnet
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (a) cyclic average
cooling capacity
The solar adsorption cooling chiller for different choices of 113
cycle time at steady state design 2 (b) COP cycle
The solar adsorption cooling chiller for different choices of 114
cycle time at steady state design 2 (c) COPsolarnet
Temperature history of different heat exchangers for 30 114
collectors with increasing cycle starting from 800s
Evaporator outlet (a) different design and cycle time 115
Evaporator outlet (b) design 2 and different choices of cycle 115
time
Figure 416
Figure 417
Figure 417
Figure 418
Collector outlet design 1 and design 2 with 30 collectors
and cycle time 1400s
Collector efficiency at steady state for (a) storage tank
design 1
Collector efficiency at steady state for (b) storage tank
design 2
Cooling production by system with direct solar coupling 22
collectors cycle time 800s and with storage tank design 1 amp
2 collector number 30 cycle time 1400s
XXII
116
117
117
118
b
Figure 419
Figure 51
Figure 52
Figure 53
Figure 54
Figure 55
Heat used in cooling production by the system with direct 118
solar coupling 22 collectors cycle time 800s and with
storage tank design I amp 2 collector number 30 cycle time
1400s
Schematic diagram of hot water chain between collector 123
tank and household use
Schematic diagram of closed hot water chain between 123
collector and tank
Temperature history of collector outlet and bed for direct 125
solar coupling
Temperature history of reserve tank when 22 collectors 126
supply hot water to tank tank supply hot water for
household and supply water fill up the tank
Temperature history of reserve tank when 8 collectors 126
supply hot water to tank no supply of hot water for
household
XXIII
CHAPTER
Introduction
11 Introduction
The life of 20th century dramatically changed due to the new inventions The use of
refrigerator helps one to preserve food for a 10Jgperiod and save time for the
preparation of food On the other hand use of cooling system not only increased the
working potential of people by facilitating them to work with comfort but also helps
to change the architectural design of public places and living places Dozens of
innovations made it possible to transport and store fresh foods and to adapt the
environment to human needs Once luxuries air conditioning and refrigeration are
now common necessities which greatly enhance our quality of life
At present air conditioning and refrigeration systems became more efficient
controllable and mobile It grew from an invisible luxury to a common necessity
Now people can live and work in glassed-in or windowless buildings in porch less
houses or in the warmest and most humid places In an air conditioner air is cooled
and conditioned by units that are similar to domestic refrigerators (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D Cold liquidrefrigerant at low pressure flows through coils on one side A centrifugal fan draws
warm air from the room over the coils The cooled and conditioned air is returned to
the room The warmed refrigerant evaporates and then passes into a compressor
where it is pressurized The hot pressurized gas enters a second set of coils on the
exterior side A second fan draws cool external air over the hot coils to dissipate their
heat In the process the refrigerant is cooled to below its boiling point and condenses
into a liquid The refrigerant then passes through an expansion valve where its
pressure is suddenly reduced As this happens its temperature drops and the cooling
cycle begins again
I
12 History of Ancient Refrigeration
In ancient period refrigeration was achieved by natural means such as the use of ice or
evaporative cooling Ice was either
i) Transported from colder regions
ii) Harvested in winter and stored in ice houses for summer use
iii) Made during night by cooling of water by radiation to stratosphere
In 1806 Frederic Tudor began the trade in ice by cutting it from Hudson river and
ponds in Massachusetts and exported it to various countries including India (History
of Refrigeration IIT Kharagpur [2014]) In order to insulate the container sawdust
wood shavings or cork were utilized Making ice naturally by evaporative cooling
known as Nocturnal cooling was another means In India Tudors ice was cheaper than
the locally manufactured ice by nocturnal cooling Other than nocturnal cooling
evaporative cooling and cooling by salt solution were also in use
121 Nocturnal Cooling
The art of making ice by nocturnal cooling was perfected in India In this method ice
was made by keeping a thin layer of water in a shallow earthen tray and then
exposing the tray to the night insolation to the stratosphere which is at aroun~ ~55degC
and by early morning hours the water in the trays freezes to ice (History of
Refrigeration lIT Kharagpur [2014])
122 Evaporative Cooling
Evaporative cooling is the process of reducing the temperature of a system by
evaporation of water Evaporative cooling has been used in India for centuries to
obtain cold water in summer by storing the water in earthen pots The water
permeates through the pores of earthen vessel to its outer surface where it evaporates
to the surrounding absorbing its latent heat in part from the vessel which cools the
water Human beings perspire and dissipate their metabolic heat- by evaporative
cooling if the ambient temperature is more than skin temperature It is said that
Patliputra University situated on the bank of river Ganges used to induce the
2
--
f
evaporative-cooled au from the river Suitably located chimneys in the rooms
augmented the upward flow of warm air which was replaced by cool air
123 Cooling by Salt Solutions
Certain substances such as common salt when added to water dissolve in water and
absorb its heat of solution from water (endothermic process) this reduces the
temperature of the solution (water+salt) Sodium Chloride salt (NaCl) can yield
temperatures upto -20degC and Calcium Chloride (CaCh) upto -50degC in properly
insulated containers However this process has limited application
At present refrigeration is produced by artificial means In 1755 a Scottish professor
William Cullen made the first refrigerating machine It could produce a small quantity
of ice in the laboratory Professor William Cullen of the University of Edinburgh
demonstrated this in 1755 by placing some water in thermal contact with ether under a
receiver of a vacuum pump Due to the vacuum pump arid the evaporation rate of
ether increased and water could be frozen This process involves two thermodynamic
concepts the vapor pressure and the latent heat A liquid is in thermal equilibrium
with its own vapor at a preSsure called the saturation pressure which depends on the
temperature alone Oliver Evans in the book Abortion of a young Engineers Guide
published in Philadelphia in 1805 described a closed re(rigeration cycle to produce ice
by ether under vacuum Jacob Perkins an American living in London actually
designed such a system in 1835 In Evans patent he stated I am enabled to use
volatile fluids for the purpose of producing the cooling or freezing of fluids and yet at
the same time constantly condensing such volatile fluids and bringing them again
into operation without waste James Harrison in 1856 made a practical vapor
compression refrigeration system using ether alcohol or ammonia Charles Tellier of
France patented a refrigeration system in 1864 using dimethyle ether which has a
normal boiling point of -236degC Later improvements were made by a number of
researchers throughout the century
The pioneering gemus for mechanical refrigeration system an engmeer Willis
Carrier worked out the basic principles of coding and humidity control (Greatest
3
Engineering Achievments-IO Air Conditioning and Refrigeration [2014]) And
before his idea became a real benefit to the average people it took innovations by
thousands of other engineers This invention of Carrier made many technologies
possible where highly controllable environment is needed such as medical and
scientific research product testing computer manufacturing and space travel The
history of Carriers invention is dramatic According to the claim in the year of 1902
while standing in a train station in Pittsburgh one night Carrier realized that air could
be dried by saturating it with chilled water to induce condensation And the first air
conditioner was built by him on that year for a Brooklyn printer The cooling power
of thisfirst air conditioner was 108000pounds of ice a day
A refrigerator operates in much the sameway as an air conditioner It moves heat
energy from one placeto another Constant cooling is achieved by the circulation of a
refrigerant in a closed system in which it evaporates to a gas and then condenses back
again to a liquid in a continuous cycle If no leakage occurs the refrigerant lasts
indefinitely throughout the entire life of the system
In 1907 Carrier first patented a temperature and humidity control device for
sophisticated industrial process Room cooler was first introduced by Frigidaire
engineers in 1929 In 1930 Thomas Midgley (Greatest Engineering Achievments-l0
Air Conditioning and Refrigeration [2014]) solved the dangerous problem of toxic
flammable refrigerants by synthesizing the worlds first chlorofluorocarbon which has
a trade mark name as Freon Thomas Midgley and Charles Kettering invented Freon
12 (dichlorodifluoromethane) adopted by Frigidaire division of general motors
Packard in 1938 introduced the first automobile air conditioner which was run by the
waste heat of the engine In 1938 Philco-York successfully marketed the first window
air conditioner Refrigeration technology led to certain frozen food technology By
1925 Birdseye and Charls Seabrook developed a deep freezing process for cooked
foods In 1930 Birds Eye Frosted Foods were sold for the first time in Springfield
Massachusetts As the century unfolded improvisation of the refrigeration and air
conditioningsystem went on
e
4
I
i1
The time line of air conditioning and refrigeration system is enclosed below (Greatest
Engineering Achievments-l 0 Air Conditioning and Refrigeration [2014 D
124 TimelineWillis Haviland Carrier designs a humidity control process and pioneers
modem air conditioning
First overseas sale of a Carrier system was made to a silk mill in Yokohama
Japan
Carrier presents his paper Rational Psychometric Formulae to the American
Society-of Mechanical Engineers and thereby forms the basis of modem air-
conditioning
Clarence Birdseye pioneers the freezing of fish of later defrosting and
cooking
1915 Carrier Corp is founded under the name Carrier Engineering
1920s Carrier introduces small air-conditioning units for small businesses and
residences
1922 Carrier develops the centrifugal refrigeration machine
1925 Clarence Birdseye and Charles Seabrook develop a deep-freezing process for
cooked foods that Birdseye patents in 1926
1927 General Electric introduces a refrigerator with a monitor top containing a
hermetically sealed compressor
1929 U S electric re~rigerator sales top 800000 and the average pnce of a
refrigerator falls to $292
1930s Air conditioners are placed III railroad cars transporting food and other
perishable goods
1931 Tranes first air conditioning unit Was developed
1931 GMs Frigidaire division adopts Freon 12 (dichlorodifluoromethane)
refrigerant gas invented by Thomas Midgley of Ethyle Corp and Charles
Kettering of GM
1931 Birds Eye Frosted Foods go on sale across the US as General Foods expands
distribution
5
1937 Air conditioning lis first used for mmmg in the Magma Copper Mine m
Superior Arizona
1938 Window air conditioner marketed by philco-York
1939 The first air-conditioned automobile is engineered by Packard
1947 Mass-produced low-cost window air conditioners become possible
1969 More than half of new automobiles are equipped with air conditioning
1987 Minimum energy efficiency requirements set- The National Appliance Energy
Convertion Act mandates minimum energy efficiency requirements for
refrigerators and freezers as well as room and central air conditioners
1987 The Montreal Protocol- The Montreal Protocol serves as an international
agreement to begin phasing out CFC refrigerants which are suspected to the
thinning of the earths protective high-altitude ozon shield
1992 Minimum energy efficiency standards set for commercial buildings- The US
Energy Policy Act mandates minimum energy efficiency standards for
commercial buildings using research and standards developed by the
American Society of Heating Refrigeration and Air Conditioning Engineers
13 Science in Adsorption Process
Adsorption is the adhesion of atoms ions biomolecules of gas liquid or dissolved
solids to a surface This process creates a film of the adsorbate (the molecules or
atoms being accumulated) on the surface of the adsorbent It differs from absorption
in which a fluid permeates or is dissolved by a liquid ot solid The term sorption
encompasses both processes while desorption is the reverse of adsorption It is a
surface phenomenon
During the adsorption process unbalanced surface forces at the phase boundary cause
changes in the concentration of molecules at the solidfluid interface This process
involves separation of a substance from one phase accompanied by its accumulation
or concentration at the surface of another In adsorption process the adsorbing phase is
the adsorbent and the material concentrated or adsorbed at the surface of that phase is
the adsorbate
6
t
--l
Adsorption is a process where molecules atoms or ions accumulate on the surface of
a liquid or a solid material This is different from the absorption process where
molecules or atoms diffuse into the liquid or solid For C02 02 or H2 capture are solid
materials primarily used these materials are referred to as dry sorbents or adsorbents
Molecules atoms or ions accumulate in small quantities per surface area of the
adsorbent therefore are porous solids with a large area per unit volume favoured
Adsorption process can be classified in two
i) Physical adsorption or physisorption and
ii) Chemical adsorption or chemisorptions
The adsorption process that is used in our study is a physisorption Physisorption
occurs at the solid phase these intermolecular forces are same as ones that bond
molecules to the surface of a liquid The molecules that are physically adsorbed to a
solid can be released by applying heat therefore the process is reversible
-Adsorption is an exothermic process accompanied by evolution of heat The quantity
of heat release depends upon the magnitude of the electrostatic forces involved latent
heat electrostatic and chemical bond energies
The heat of adsorption is usually 30-100 higher than the heat of condensation of
the adsorbate The process of adsorption is stronger than condensation to liquid phase
131 Adsorption Equilibria
There are fo~r basic theories proposed and used to define the main isotherms of an
adsorption process They are (i) Henrys law (ii) Langmuirs approach (iii) Gibbs
theory and (iv) Adsorption potential theory
(i) Henrys law On an uniform surface for an adsorption process at
sufficiently low concentration (ie all molecules are isolated from their
nearest neighbors) where the equilibrium relationship between the fluid
phase and adsorbed phase concentration will always be linear
(ii) Langmuirs approach In order to understand the monolayer surface
adsorption on an ideal surface this approach is used The approach is
7
based on kinetic equilibrium ie the rate of adsorption of the molecules is
assumed to be equal to the rate of adsorption from the surface
(iii) Gibbs theory Based on ideal gas law The adsorbate is treated in
croscopic and bidimensional form and provides a general relation between
spreading pressure and adsorbed phase concentration Here the volume in
the bulk phase is replaced by the area and the pressure by the spreading
pressure Relating the number of moles of adsorbate the area and the
spreading pressure and using them in the Gibbs equation a number of
fundamental equations can be derived such as linear isotherm and Volmer
isotherm etc
(iv) Adsorption potential theory In order to describe adsorption of gases and
vapor below the capillary condensation region equations such as
Freundlich Langmuir-Freundlich (Sips) Toth Unilan and Dubinin-
Radushkevich (DR) have been used
132 Adsorbates and Adsorbents
In chemistry and surface s~ience an adsorbate is a substance adhered to a surface (the
adsorbent) The quantity of adsorbate present on a surface depends on several factors
including adsorbent type adsorbate type adsorbent size adsorbate concentration
temperature pressure etc
The performance of adsorbents used in physisorption IS governed by surface
properties such as surface area micro-pores and macro-pores size of granules in
powders crystals or in pellets If a fresh adsorbent and adsorbate in liquid form co-
exist separately in a closed vessel the adsorbate in liqu~dphase is transported to the
adsorbent This transportation of adsorbate to the adsorbent occurs in the form of
vapor The adsorbent adsorbs heat therefore the adsorbate loses temperature This
phenomenon is used to obtain a cooling effect in air -conditioning and refrigeration
system The heat of adsorption for different adsorbent is either derived from
8
f
Iadsorption isotherms generally referred to as either the isosteric heat (the energy
released in adsorption process) or as the differential heat of adsorption determined
experimentally using a calorimetric method
Based on the polarity of the adsorbents they can be classified in two
i) hydrophilic and ii) hydrophobic Silica gel zeolites and porous or active
alumina have special affinity with polar substances like water These are called
hydrophilic On the other hand non-polar adsorbents like activated carbons polymer
adsorbents and silicalites have more affinity for oils and gases than for water these
are called hydrophobic
Surface properties of the adsorbents ie surface area and polarity characterizes the
adsorbents For large adsorption capacity large surface area is needed Therefore in
need of large surface area in a limited volume large number of small sized pores
between adsrption surface is need~d To characterize adsorptivity of adsorbate the
pore size distribution of the micro- pores to increase the accessibility of adsorbate
molecules to the internal adsorption surface is important
The working pair for solid adsorption is chosen according to their performance at
different temperatures For any refrigerating application the adsorbent must have high
adsorptive capacity at ambient temperatures and low pressures but less adsorptive
capacity at high temperatures and high pressures The choice of the adsorbent depends
mainly on the following factors
(i) High adsorption and desorption capacity to attain high cooling effect
(ii) Good thermal conductivity in order to shorten the cycle time
(iii) Low specific heat capacity
(iv) Chemically compatible with the chosen refrigerant
(v) Low cost and wide availability
The chosen adsorbate (working fluid) must have most of the following desirable
thermodynamics and heat transfer properties
(i) High latent heat per unit volume
9
(ii) Molecular dimensio11s should be small enough to allow easy adsorption
(iii) High thermal conductivity
(iv) Good thermal stability
(v) Low viscosity
(vi) Low specific heat
(vii) Non-toxic non-inflammable non-corrosive and
(viii) Chemically stable in the working temperature range
Based on the above criteria some appropriate working pairs are activated carbon-
methanol zeolite-water zeolite - ammonia activated carbon-ammonia silica gel-
water etc
133 Heat of Adsorption
All adsorption processes are accompanied by heat release ie they are exothermic
processes In adsorbed phase adsorbate molecules are in more ordered configuration
In this process entropy decreases
134 Adsorbent Used in The Thesis Work
In analytical investigation of solar heat driven cooling system for the climatic
condition of Bangladesh hydrophilic adsorbent silica gel is used with water as the
adsorbate due to its straightforward availability Silica gel is prepared from pure silica
and retains chemically bonded traces of water silica gel (Si02 x H20) (about 5) If
it is over heated and loses water its adsorption capacity is lost and it is generally
used in temperature applications under 2000 C Silica gel is available in various pore
size The greater is the surface area per unit mass which is typically 650 m2 gm the
higher is its adsorption capacity Silica gel has a large capacity for adsorbing water
specially at high vapor pressure The heat of adsorption of water vapor on silica gel is
predominantly due the heat of condensation of water The adsorption refrigeration
system with silica gel-water pair can be run with lower temperature heat source (less
than 1000 C) and no harmful chemical extraction occurs during the process Silica gel
is available and comparatively inexpensive to use in mass level
10
-
io-(
14 Literature Review
In the late 1980s chlorofluorocarbons were found to be contributing to the
destruction of earths protective ozone layer Therefore the production of these
chemicals was phased out and the search for a replacement began Moreover the
increased use of the vapor compressor driven refrigeration devices made us more
dependent on the primary energy resources As the primary energy once used up
cannot be used in the same form again Therefore it is necessary to reduce the
consumption of these resources and introduce renewable energy for the sustainable
development in the global energy sector Thermally driven sorption technology is one
of the probable altem~ives At present absorption (liquid vapor) cycle is most
promising technology Nevertheless adsorption (solid vapor) cycle have a distinct
advantage over other systems in their ability to be driven by heat of relatively low
near-environmental temperatures so that the heat source such that waste heat or
solar heat below 1000 C can be utilized Kashiwagi et al [2002] in determination of
conservation of heat energy carried out investigation on heat driven sorption and
refrigeration system
For the last three decades investigations have been carri~d out both mathematically
and experimentally about different features of this system It is well known that the
performance of adsorption cooling heating system is lower than that of other heat
driven heating cooling systems Different choices of adsorbateadsorbent pairs have
been investigated to study about the optimum driving heat source Zeolite - water pair
studied by Rothmeyer et al [1983] Tchemev et al [1988] and Guilleminot et al
[1981] In these studies the driving heat source was reported as 20WC A cascading
adsorption cycle has also been analyzed by Douss et al [1988] where an activated
carbon - methanol cycle is topped by a zeolite - water cycle Driving heat was
supplied by a boiler and heat source was 200ce In the study of Critoph [1998] a
lower heat source temperature was observed that is over 150cC with activated carbon
- ammonia pair The use of driving heat source with temperatures of less than 100cC
was reported in the study of silica gel - water pair investigated by Saha et al [1995a]
Chua et al [1999] Alam et al [2000a] and Saha et al [1995b2000]
11
I~
f
IIII[
f
I
i
1
Kashiwagi et al [2002] and Chen et al [1998] studied basic cycle of adsorption
cooling for the operating condition of the cycle Where basic cycle with different
adsorber and adsorbent had also been studied Rothmeyer et al [1983] studied the
basic adsorption refrigeration cycle for Zeolite-water pair and Douss and Meunier for
active carbon-methanol pair While Saha et al [1995a] Chua et al [1999] Alam et
al [2000a] and Kashiwagi et al [2002] studied basic cycle with silica gel-water pair
Many researchers studied the advanced cycle either to improve the performance or to
drive the system with relatively low temperature heat source Heat recovery cycle has
been studied by Shelton et al [1990] to improve the COP of the adsorption cooling
system in similar contest Meunier [1986] studied heat recovery cycle with cascaded
adsorption cycle where active carbon - methanol cycle was topped by a zeolite -
water cycle Pons et al [1999] studied mass recovery process in conventional two
beds adsorption cycle to improve the cooling capacity Mass recovery cycle is also
investigated by Akahira et al [2004 2005] While Wang [2001] investigated the
performance of vapor recovery cycle with activated carbon - methanol pair These
investigations indicated that mass recovery cycle is effective for relatively low
regenerative temperature compared with that of basic cycle
Lately investigation has been carried out in order to utilize low driving heat source
As a result multistage and cascaded cycles are proposed Saha et al [2000] discussed
two stage and three stage silica gel-water adsorption refrigeration cycle and Alam et
al [2003] multi-stage multi beds silica gel water cooling cycle to investigate the
operating temperature level of single double and triple stage cycle respectively Later
Alam et al [2004] studied the influence of design and operating conditions for two
stage cycle And Khan et al [2007] investigated the system performance with silica
gel - water pair on a re-heat two-stage adsorption chiller analytically The driving
source temperature for this system was less than 70degC All these investigations show
that heat source temperature level can be reducedby adopting multistage cycle And
cooling capacity can be improved for low temperature heat source Solar coupling
could be one of the attractive and alternative ways to produce necessary cooling
instead of conventional energy source Various researchers have utilized adsorption
12
Mechanical refrigeration is accomplished by continuously circulating evaporating
and condensing a fixed supply of refrigerant in a closed system
technology with direct solar coupling for space cooling and ice-making Clauss et al
[2008] studied adsorptive air conditioning system utilizing CPC solar panel under the
climatic condition of Orly France At the same time Zhang et al [2011] investigated
the operating characteristics of silica gel water cooling system powered by solar
energy utilizing lump~d parameter model Later Alam et al [2013a] utilized lumped
parameter model to investigate the performance of adsorption cooling system driven
by CPC solar panel for Tokyo Solar data Afterwards Rouf et al [2011] performed a
similar study based on the climatic condition of a tropical region Dhaka in search of
the optimum collector number and cycle time As a continuation Rouf et al [2013]
investigated the operating conditions of basic adsorption cooling system driven by
direct solar coupling for the climatic conditions of Dhaka Bangladesh Recently in
anticipation of both enhancement of the working hour and improvement of the system
performance heat storage has been added with the solar heat driven adsorption cooling
system by Alam et al [2013b]
15 Refrigeration Cycl~s and Their Development
151 Thermodynamics of Refrigeration Cycle
I
t f
I
i
~~
152 Traditional Vapor Compression Cycle
The vapor-compression cycle is used in most household refrigerators as well as in
many large commercial and industrial refrigeration systems Figure -11 provides a
schematic diagram of the components of a typical vapour-compression refrigeration
system (Heat pump and refrigeration cycle Wikipedia [2014 D
The thermodynamics of the cycle can be analyzed on a diagram as shown in the figure
below In this cycle a circulating refrigerant such as Freon enters the compressor as a
vapor The vapor is compressed at constant entropy and exits the compressor
superheated The superheated vapor travels through the condenser which first cools
13
lt A ~ -
and removes the superheat and then condenses the vapor into a liquid by removing
additional heat at constant pressure and temperature The liquid refrigerant goes
through the expansion valve (also called a throttle valve) where its pressure abruptly
decreases causing flash evaporation and auto-refrigeration of typically less than half
of the liquid
That results in a mixture of liquid and vapo~at a lower temperatUre and pressure The
cold liquid-vapor mixture then travels through the evaporator coil or tubes and is
completely vaporized by cooling the warm air (from the space being refrigerated)
being blown by a fan across the evaporator coil or tube~ The resulting refrigerant
vapor returns to the compressor inlet to complete the thermodynamic cycle Typically
for domestic refrigeration the coefficient of performance (COP) of compression
cycles lie around 3
The most frequent refrigerants used in these cycles are hydrochlorofluorocarbons
(HCFCs) chlorofluorocarbons (CFCs) hydrobromofluorocarbons (HBFCs) etc
These refrigerants restrain ozone depleting substances On the other hand sorption
refrigeration system makes use of natural refrigerants such as ammonia methanol
water etc Besides these systems can be run by low- grade energy such as waste heat
and solar energy As a result many researchers have made significant efforts to study
typical adsorption refrigeration cycles
153 Absorption Refrigeration Cycle
In the absorption refrigeration system refrigeration effect is produced mainly by the
use of energy as heat (Images of absorption refrigeration cycle [2014]) In such a
system the refrigerant is usually dissolved in a liquid A concentrated solution of
ammonia is boiled in a vapor generator producing ammonia vapor at high pressureThe high pressure ammonia vapor is fed to a condenser where it is condensed to
liquid ammonia by rejecting energy as heat to the surroundings Then the liquid
ammonia is throttled through a valve to a low pressure During throttling ammonia is
partially vaporized and its temperature decreases
14
f
Condenser May bewater-cool ed orair-cooled Gpor
CompressorQpor
~vaporator
lH bullbull_Wa_nTl_~ air
Expansion
Condenser
Uquid + porValve
Figure 11 Typical single stagevapor compression refrigeration source Heatpump and refrigeration cycle Wikipedia [2014J
15
-Isobars
( ~
t
~
1
~-
-I--
1 _
1-
f
----4-isobar
1gt1 Y Liquid
)Specific Entropy (s)
--_ 1 Vapor
Figure 12 Source Heat pump and refrigeration cycle Wikipedia [2014]
CondenserThrott~evalve
EvaporatorPressureReducing valve
High Pr
i NH3 Vapour
VapQufc ~
~~n~~t~
Q T j1gt~
1 1~ ~-~- ~ -
Strong Absorb~r -
NHJ solution
Low pressmNH3 vapour
Figure 13 The vapor absorption system source Images of absorption
refrigeration cycle [2014]
16
This low temperature ammonia is fed to an evaporator where it is vaporized removing
energy from the evaporator Then this low-pressure ammonia vapor is absorbed in the
weak solution of ammonia The resulting strong ammonia solution is pumped back to
the vapour generator and the cycle is completed T~e COP of the absorption system
can be evaluated by considering it as a combination of a heat pump and a heat engine
(Figurel3)
154 Basic Adsorption Cycle
An adsorption cycle for refrigeration or heat pumping does not use any mechanical
energy but only heat energy (Principle of adsorption cycles for refrigeration or heat
pumping [2014]) Moreover this type of cycle basically is a four temperature
discontinuous cycle An adsorption unit consists of one or several adsorbers a
condenser an evaporator connected to heat sources The adsorber -or system
consisting of the adsorbers- exchanges heat with a heating system at high temperature
-HS- and a cooling system at intermediate temperature -CS- while the system
consisting of the condenser plus evaporator exchanges heat with another heat sink at
intermediate temperature (not necessarily the same temperature as the CS) and a heat
source at low temperature Vapour is transported between the adsorber(s) and the
condenser and evaporator
The cycle consists of four periods a) heating and pressurization b) heating and
desorption condensation c) cooling and depressurization and d) cooling and
adsorption evaporation
a) Heating and pressurization during this period the adsorber receives heat while
being closed The adsorbent temperature increases which induces a pressure increase
from the evaporation pressure up to the condensation pressure This period is
equivalent to the compression in compression cycles
b) Heating and desorption condensation During this period the adsorber continues
receiving heat while being connected to the condenser which now superimposes its
pressure The adsorbent temperature continues increasing which induces desorption
of vapor This desorbed vapor is liquefied in the condenser The condensation heat is
17
released to the second heat sink at intermediate temperature This period is equivalent
to the condensation in compression cycles
c) Cooling and depressurization During this period the adsorber releases heat while
being closed The adsorbent temperature decreases which induces the pressure
decrease from the condensation pressure down to the evaporation pressure This
period is equivalent to the expansion in compression cycles
d) Cooling and adsorption evaporation during this period the adsorber continues
releasing heat while being connected to the evaporator which now superimposes its
pressure The adsorbent temperature continues decreasing which induces adsorption
of vapor This adsorbed vapor is vaporized in the evaporator The evaporation heat is
supplied by the heat source at low temperature This period is equivalent to the
evaporation in compression cycles
Basically the cycle is intermittent because cold production is not continuous cold
production proceeds only during part of the cycle When there are two adsorbers in
the unit they can be operated out of phase and the cold production is quasi-
continuous When all the energy required for heating the adsorber(s) is supplied by
the heat source the cycle is termed single effect cycle Typically for domestic
refrigeration conditions the coefficient of performance (COP) of single effect
adsorption cycles lies around 03-0AWhen there are two adsorbers or more other
types of cycles can be processed In double effect cycles or in cycles with heat
regeneration some heat is internally recovered between the adsorbers which
enhances the cycle performance
16 Advanced Adsorption Refrigeration Cycle
161 Heat Recovery Adsorption Refrigeration Cycle
Heat recovery process leads to a higher system COP (investigated by Wang et al
[2001]) But experimentally operating with the system would be a little complicated
Mathematically to attain higher COP multiple beds could also be adopted It is a semi-
continuous system operated with two adsorption beds The adsorber to be cooled
18
-~
LoP
II
~ ~ ~HfJatinc+ 1essilation~
I
~~
~
Cooling +~ ~a4s0lJltioh
-lIT
-
AdsomedI
vapour
Ie
-~oCondensel
Figure 14 a) Clapeyron and schematic diagram of heating and pressurization
mode Source Principle of adsorption cycles for refrigeration or
heat pumping [2014J
19
~
~
--
~
LnP
-lff
Q-
ht Qcs~---II
IIIII
bullbullII_~- -
Figure JA b) Clapeyron and schematic diagram of heating and desorptioncondensation mode Source Principle of adsorp~ion cycles forrefrigeration or heat pumping [2014]
20--_bullbull_--------_- -- _ --_-
-~ -
-
LnP
~
COtliBS + ltii
tlqmssumtttibn -lIT
Figure 14 c) Clapeyron and schematic diagram of cooling and depressurization
modesource Principle Qfadsorption cycles for refrigerati()n or
heat pumping [2014]
21
LnP
-lIT
QcsTcs ===
IIIIIIIIIII_---
Figure 14 d) Clapeyron and schematic diagram of cooling and adsorption
modeSource Principle of adsorption cycles for refrigeration or
heat pumping [2014]
22
I ~ _
I -
i ~i
Ci Pc- bull Wo- InP
bull
bull
PE
I)-
T-o
Figure 15 Clapeyron diagram of ideal adsorption cycle Source Farid [2009]
23
vm
Condenser
SE2
V8
EvaporatorV2 i
II i
r-------
VIrt
i =
Cooling load
Figure 16 Schematic diagram of single stage two bed basic adsorption cooling
system
24
deg IIIIII V4
vs
r -~---~- deg
__ e~ bullr-------Condenser
VI IIi
~
i (IIi= Ii~Ii~ 0
~
V2 V8
Evaporator
----------t-~-~-Cooling load
Figure 17 Schematic diagram of heat recovery two-bed adsorption refrigeration
system at heat recovery mode when heat is transported from desorber SE2 to
adsorbero
SEl
25
transfers its heat to the adsorber to be heated which includes sensible heat as well as
heat of adsorption The system is represented by Figure 17
Between the two adsorbers while adsorber 1 is cooled connected to the evaporator to
realize adsorption refrigeration in evaporator the adsorber 2 connected to the
condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating phase
can be changed and the go between will be a short time heat recovery process Two
pumps are used to drive the thermal fluid in the circuit between two adsorbers (the
connection to the heater and cooler are blocked during this process)
Compared to the basic cycle heat recovery in this process is only effective if the heat
transfer fluid temperature leaving the adsorbers is sufficiently high Simulation results
have shown that maximum COP depends on the number of adsorbers and desorbers
installed
1 condenser is heated to obtain heating-desorption-condensation The condenced
refrigerant liquid flows into evaporator via a flow control valve The operating
phase can be changed and the go between will be a short time heat recovery
process Two pumps are used to drive the thermal fluid in the circuit between
two adsorbers (the connection to the heater and cooler are blocked during this
process)
2 Compared to the basic cycle heat recovery in this process is only effective if the
heat transfer fluid temperature leaving the adsorbers is sufficiently high
Simulation results have shown that maximum COP depends on the nllmber of
adsorbers and desorbers installed
162 Mass Recovery Ad~orption Refrigeration Cycle
This process can also be called as an internal vapor recovery process and is reported
to enhance the cooling power Mass recovery is also very effective for heat recovery
adsorption heat pump operation In this process like the previous heat recovery
process at the end of each half cycle one adsorber is cold and the other one is hot
Mean while in addition the former one which is at low pressure e - e must be
pressurized up to the condenser pressureE and similarly the other one which is atC
high pressure must be depressurized down to the evaporator pressure PiJ This process
26
~
of pressurization and depressurization of the adsorbers partially can be conducted
with just one tube between the adsorbers and a vapor valve Through this tube vapor
is transferred from the later adsorber to the former one
The figure below Figure 18 (Farid [2009]) describes an ideal heat and mass recovery
cycle The heat recovery state for a two bed system is shown by the state points e - e
The mass recovery cycle (a2 - a3 - gJ - gl - g2 - g3 - ai - al - a2) is an extended
form of a two bed basic cycle or two bed heat recovery cycle
(a2 - gl - g 2 - al - Q2) shown in figure and the cycles mass is increased from 6x to
6x +8x which causes the refrigeration effect to increase
The principle of these cyCles can be described using Figure 18 The very first part of
each half cycIeis the mass recovery process (path g2 - g3 and a Q2 - a3) Then the
heat recovery process proceeds Heat is transferred from the hot adsorber to the cold
one (path g3 - e) As a consequence the hot adsorber is first depressurized (path
g3 - Q1 ) it then adsorbs vapor from the evaporator ( path al - a2) At the same
time the cold adsorber is first pressurized (path a3 - at ) then vapor that is desorbed
passes into the condenser (path gl - e) Theoretically the heat recovery process
develops until the adsorbers reach the same temperature Actually there still remains
a temperature difference between the adsorbers at the end of this period Then for
closing each half cycle the adsorbers are respectively connected to the heat source
and heat sink (path e - g 2 and e - a2) bull The second half cycle is performed the same
way except that the adsorbers now exchange their roles Due to this process about
35 of the total energy transmitted to each adsorber can be internally recovered
including part of the latent heat of sorption
163 Multi-stage and Cascading Cycle
The single stage cycle that is discussed in the prevIOUS sections have certain
limitations It does not perform well at very low temperatures To improve the system
performance under the above situations advanced cycles with adsorption processes
can be adopted such as i) multi-stage cycle ii) cascading cycle
27
8x+amp
- - - - bullbullbull ~~jt ~~- bullbull i bullbull IIgtbullbull bullbull I~il~I bull-bullbullbullbull
lnP
~ ~
a2e a1 a1
bullbull1--T
Figure 18 Clapeyron diagram-of mass recovery cycle Source Farid [2009]
28
1i) Multi-stage cycle the basic idea of a multi-stage cycle is to perform the
desorption condensation processes at different temperaturepressure levels by using
the same working pair The pressure lift for multistage cycles were divided into two
or more stages As a result system can run by relatively low temperature heat source
Here for an example the working principle of a two-stage adsorption chiller is
discussed by Alam et al [2004] The following Duhring diagram (Figure 14) shows
that a conventional silica gel -water adsorption cycle cannot be operational with the
driving heat source temperature of 50 C if the heat sink is at 30 C
From the Figure 17 it is clear that the cycle allows reducing regeneration
temperature (pressure) lift of the adsorbent (Tdes - Tads) by dividing evaporating
temperature (pressure) lift (Tcon - Teva) into two smaller lifts Thus refrigerant (water
vapor) pressure rises into two consecutive steps from evaporating to condensation
level In order to achieve this objective an additional pair of adsorberldesorber heat
echangersto the conventional two-bed adsorption chiller is added
An advanced two-stage adsorption cycle consists of six heat exchangers namely a
condenser an evaporator two pairs of adsorbent bed heat exchangers as shown in
Figure 19 In an adsorption refrigeration system adsorbent beds are operated in a
cycle through the four thermodynamic states a) preheating b) desorption c)
precooling and d) adsorption These are denoted as cycle A cycle B cycle C and
cycle D respectively
To describe the cycle of the system it is assumed thatHXl and HX4 are in cooling
position at temperature Tc while HX2 and HX3 are in heating position at temperature
Thbull In the beginning of the cycle all valves are closed The desorbers (HXl and HX4)
are heated by hot water while the adsorbers (HX2 and HX3) are cooled by cooling
water During a short intermediate process no adsorptiondesorption occurs After this
short period valves 2 4 and 6 are opened to allow refrigerant to flow from HXl to
the condenser from the evaporator to HX2 and from HX4 to HX3 When
refrigeration concentrations in the adsorbers and desorbers are close to their
29
100Condenser pressure
)~ 737t tlOr~ lir ~ ~ t 4~24l
bull~f
1~8 234
~
]f~ 123~
o10 20 30 40 50 60 70 80
40
bullbullu30 L
4JI-
2~I-~p
fi20 -
1-ec~gt01)
10 bullbullCd3Cd
r
0
90~ilica Gel Temperature (Ye]
Figure 19 Conceptual P-T-x diagram for conventional and two stage
adsorption cycles (source Alam et al [2004])
30
et)c~- (JJ-~deg0o~u
5
~
Heatrejected
VIO
Condenser
V8----
Evaporator
r------- J~~ ~_~ IIIIII V4
VI
V2
~
i=1
J- -t=---~~~Cool~ngload
I
Figure 110 Schematic diagram of a two stage adsorption chiller
31
---_-bull_----_ - --
equilibrium level the flows of hot and cooling water are redirected by switching the
valves so that the desorber can change its mode into adsorber and ad sorber into
desorber The adsorptiondesorption process can be continued by changing the
direction of hot and cooling water flow
ii) Multibed Cascading cycle mass recovery process utilizes the pressure difference
between adsorber and desorber Therefore the bigger the difference of pressure the
more the refrigerant that could be moved from desorber to adsorber A multistage
mass recovery cycle proposed to increase the pressure difference was investigated by
Akahira et al [2004] In a cascading cycle ho~ and cooling water is used with
cascading flow from one desorber or adsorber to other desorber or adsorber where the
movement of refrigerant from desorber to ad sorber is accelerated
t iii) The schematic diagram of a two stage mass recovery cycle is shown in the figure lt
below The cycle consists of two single stage adsorption cycles ie four pairs of heat
exchangers namely an evaporator (EVAI)-arlsorber (HEXI) and a condenser
(CONNDI)-desorber (HEX2) EVA2-HEX3 COND2-HEX4 HEX2 connects HEX3
thro~gh valve V9 and HEXI connects HEX4 through valve VIO Upper part of mode
A of fig 1 (HEX 1-HEX2 COND 1 and EVA 1) is denoted as upper cycle as well as
lower part (HEX3 HEX4 COND2 and EVA2) is denoted as lower cycle Hot water
used in upper cycle flows into the lower cycle and the cooling water used in the lower
cycle flows into upper cycle
Upper part of the four-bed mass recovery cycle (HEXI HEX2 CONDI and EVAI)
is similar to single-stage cycle When HEXI and HEX2 are connected with a valve it
is a two-bed mass recovery cycle which consists three operational modes These four-
bed mass recovery cycles consist six operational modes Figure 110 shows half cycle
of four-bed mass recovery cycle that have only three operational modes The second
and fourth modes are mass recovery process Four-bed mass recovery cycle utilizes
the same principle of mass recovery of two-bed that is the pressure difference
between the adsorber and desorber Moreover in these processes the refrigerant mass
circulation will be higher than the conventional two-bed mass recovery cycle due to
32
--_ bull__-----~----------__-__ __ _- -
jiJ
~iAff~l
CONO
(b) ModcB
CONOl
CONOI
(a) ModeA
ChillcdwalCr In Chillcdwalcr Out f bull(c) IVlodcC
Figure 111 Schematic diagram of four bed adsorption refrigeration cascading
cycle of mass recovery (source Akahira et aL [2005])
33
the higher pressure difference in the present cycle with cooling water cascading on
condenser Figure 110 (a) presents the mode A where valves VI V4 V5 V8 V9
and VIO are closed in such a manner that EVAI-HEXI and EVA2-HEX3 are in
adsorption process and CONDI-HEX2 and COND2-HEX4 are in desorption process
Refrigerant (water) in evaporator is evaporated at the temperature (Tva) and thus
removing Qeva from the chilled water The evaporated vapor is adsorbed by adsorbent
(silica-gel bed) and cooling water circulated to the beds removes the adsorption heat
Qads The desorption-condensation process takes place at pressure (~ond) The
desorbers (HEX2 and HEX4) are heated upto the temperature (Tdes) by Qdes provided
by the driving heat source The resulting refrigerant vapor is cooled down to
temperature (~ond) in the condenser by the cooling water which removes the heat
Qcond When the refrigerant concentrations in the adsorber as well as in the de sorber
ltrre at near their equilibrium levels the cycle is continued by changing into mode B
In mode B adsorber (HEXI) and desorber (HEX2) of upper cycle are connected with
desorber (HEX3) and adsorber (HEX4) through the valves V9 and VIa respectively
In this mode no bed interact with the evaporator or condenser The pressures of
adsorber and desorber at the beginning of mode B are equal to those in mode A each
bed in mode A operates at different pressure levels
Mode C is a warm up process In this mode all valves are closed HEX and HEX3
are heated up by hot water HEX2 and HEX4 are cooled by cooling water When the
pressures of desorber and adsorber are nearly equal to the pressures of condenser and
evaporator respectively then valves between adsorbers and evaporators as well as
desorbers and condensers are opened to flow the refrigerant The later niode is
denoted as mode D
It is noted that the right side of the system is in desorption process and left side is ingt
adsorption process In next mode the mode E is simila~ as modeB Mode F is warm
up process as mode C The mode is the last process and after the mode it returns to
mode A
34--_bull_ bull_-----------------__- _
17 Solar Adsorption Cooling
Solar energy was first investigated to use for automobile cooling by Pons and
Guilleminot [1986] and Zhang and Wang [2011] later by Saha et al [2000] and Alam
et al [2000a] for waste heat utilization Sokolov and Harsagal [1993] Vargas et at
[1996] Chen and Schouten [1998] Alam et al [2001] investigated optimal conditions
to optimize the system performances Besides in the developing or underdeveloped
countries where there is scarcity of electricity energy yet refrigerators or cold storages
are needed to preserve food and medicine solar driven adsorption cooling could be an
effective and vital alternative From this point of view Sakoda and Suzuki [1986] Li
and Wang [2002] investigated for simultaneous transport of heat and adsorbate and
the effect of collector parameters on th~ performance of closed type solar driven
adsorption cooling system Lumped parameter model was first exploited for two beds
adsorption cycle driven by solar heat where flat plate collector were used by Yang and
Sumanthy [2004]
Recently Clausse et at [2008] investigated the performances of a small adsorption
unit for residential air conditioning in summer and heating during the winter period
for the climatic condition of Orly France A similar study has been conducted by
Alam et at [2013a] for the performances of adsorption system based on the climatic
data of Tokyo Japan Both of the investigations are done by utilizing Compound
Parabolic Collector (CPC) solar panel
Utilizing the climatic conditions of Dhaka Bangladesh the performances of a basic
adsorption chiller coupld with CPC solar thermal collector Rouf et al [2011 2013]
is discussed in detail in the next chapters
171 Solar Thermal Collector
In the study of solar adsorption cooling system solar thermal collectors are used One
of such collector is discussed in Clauss et al [2008] According to manufacturers
claim the reflector of the enhanced compound parabolic concentrator (CPC) collector
is made from the cylindrical high gloss rolled galvanically anodized pure aluminum
35
(1) Collector tray(2) Absorber
(3) Refledor(4) Solar safety glass
(5) S~ei91 SC91 (6)eilass holding strip
(7) Surface ~Iing joint (8) N~-g~dhcpcS~J1C rclicf ah
(9) Annular gap air vent
Figure 112 Artists viewof compound parabolic concentrator (CPC) collector
Source Alam et aJ [2013J
36
reflector concentrates the penetrating solar insolation onto the vertically installed
absorber The area of each collector is 2415 m2 The design insures that maximum
87 of diffuse part of the light can be absorbed The absorber of the collector is made
from the highly selective coated copper with ultrasonic welded heat transfer medium
pipe Artists view of compound parabolic concentrator (CPC) collector is given in
Figure 112
18 Importance of The Present Thesis Work
Under the perspective of developing countries to mitigate the basic need of food and
medicine in the rural region cold storage facilities are essential ill order to deal yvith
the shortage in available electrical energy an alternative energy source need to playa
vital role As the non-renewable energy such as the fossil fuels are limited and is not
compatible with the growing need of modem life renewable energy including wind
biomass and solar energy can provide a practical solution for the shortage of
conventional energy sources Nowadays waste heat driven adsorption cooling and
heating systems have gained considerable attention not only for utilization of waste
heat to produce useful cooling instead of releasing it to the ambient could playa vital
role in reduction of global warming and thermal pollution but also due to its ability to
be driven by low temperature heat source as well as for environmental aspect as)t
uses environment friendly refrigerants
19 Objectives of The Present Thesis Work
Energy is the key sources towards the development of a country Recently renewable
energy has become a burning topic in Bangladesh as well as in the present world
Since Bangladesh is a tropical country solar heat based cooling system has a good
potential in this part of the world The present research is on the subject of exploring
mathematically
bull the prospect of solar energy to be used for i) air conditioning ii) refrigeration and iii)
ice making purpose
bull To minimize installation cost and the size of the collector device
37
~
f ~
bull The critical relationship between various parameters mathematically
Investigate the option to imply advanced level adsorption cooling systems to utilize
lower heat source
bull Investigate the prospect of utilizing the solar heat based cooling unit to exploit as a
source of hot water during the Winter season
Mathematical and logical programming language FORTRAN has been utilized to
simulate Solar and envir~nmental data for Bangladesh to study the feasibility of heat
driven cooling system
110 Outline of The Thesis
In Chapter 2 a basic single stage two bed adsorption cooling system fU11 by silica gel-
water pair with a direct solar coupling is investigated The investigation is carried out
for the climatic condition of Dhaka Bangladesh In this chapter a thorough
investigation has been carried out about the implementation of solar heat driven
adsorption cooling system for the typical hot humid days in Dhaka Also an yearly
analysis have been carried out in order to study the maximum number of collector and
optimum cycle time needed to run solar driven adsorption cooling system for the
climatic condition of Dhaka throughout the year in Chapter 3
Furthermore in Chapter 4 a storage tank is added with the system to enhance the
working hour of the system beyond the sunset time The utilization of the proposed
~hiller during Winter season as a source of hot water supply is discussed in Chapter 5
In chapter 6 conclusion of the thesis is enclosed
38
CHAPTER 2
Solar Adsorption Cooling Based on the Climatic Condition
ofDhaka
21 IntroductionThe improvement of energy efficiency is now generally viewed as the most important
option to reduce the negative impacts of the use of energy and of fossil fuels in the
near term In Bangladesh per capita energy consumption is one of the lowest (321
kWH) in the world (Electricity sector in Bangladesh Wikipedia [2014]) Bangladesh
has small reserves of oil and coal but very large natural gas resources Commercial
energy consWllption is mostly natural gas (around 66) followed by oil hydropower
and coal Bangladeshs installed electric generation capacity was 10289 MW in
January 2014 Only three-fourth of which is considered to be available Only 62 of
the population has access to electricity with a per capita availability of 321 kWH per
annum According to the report of 2011 79 natural gas wells are present in the 23
operational gas fields which produce over 2000 Millions of Cubic Feet of gas per Day
(MMCFD) It is well short of over 2500 MMCFD that is demanded a number which
is growing by around 7 each year In fact more than three quarters of the nations
commercial energy demand is being met by natural gas This sector caters for around
40 of the power plan~ feedstock 17 of industries 15 captive power 11 for
domestic and household usage another 11 for fertilizers 5 in compressed natural
gas (CNG) activities and 1 for commercial and agricultural uses Natural gas
reserves are expected to expire by 2020 The only coal mine of the country is
expected to dry up anywhere fmm 75 to 80 years after the start of their operations
Therefore it is necessary to reduce the dependency on the conventional power source
Bangladesh has 15 MW solar energy capacity through rural households and 19 MW
wind power in Kutubdia and Feni It is possible to lessen the consumption of
electricity for the air conditioningice making purpose if we can adopt an alternative
source such as waste and solar energy
39
-~--_ ---_ _ _
Sorption heating and air-conditioning is one possible way to reduce building fossil
fuel consumption and greenhouse gas emission in low-energy buildings (Clauss et al
[2008]) Moreover heat driven sorption heat pumpl refrigeration systems have drawn
considerable attention due to the lower environmental impact and large energy saving
potential as the system neither use ozone depleting gases nor the fossil fuel and
electricity as driving source (Akahira et ai [2005]) Adsorption refrigeration and air
conditioning cycles have drawn considerable attention due to its ability to be driven
by low temperature heat source and for its use of environment friendly refrigerants
Bangladesh as a tropical country has a greater potential of solar energy during the
hot summer and dry winter season According to RERC (Renewable Energy Research
Center University of Dhaka) 792W 1m 2 Iday averagemaximum insolation is available
in the month of April During April the summer starts and the sky is apparently clear
since the monsoon will start from the month of May
In this chapter the performance of an adsorption cooling system which is run by solar
thermal collector is analyzed mathematically Investigation is done on the collector
size to get optimum performance Also the performance of the chiller had been
studied fQr different cycle time for a typical hot day in April
22 System DescriptionA conventional two bed single stage basic adsorption chiller has be~n considered in
the present study A panel of solar thermal collectors has been utilized as heater As
for adsorbehtadsobate pair silica gel and water has been considered Silica gel-water
pair as adsorbentl adsorbate is well examined for air-conditioning process driven by
low temperature (less than 1000 C) heat source There are four thermodynamics steps
in the cycle namely (i) Pre-cooling (ii) AdsorptionEvaporation (iii) Pre-heating and
(iv) Desorption-condensation process No heat recovery or mass recovery process is
considered in the present study The adsorber (SElSE2) alternatively connected to
the solar collector to heat up the bed during preheating and desorption-condensation
process and to the cooling tower to cool down the bed during pre-cooling and
adsorption-evaporation process The heat transfer fluid from the solar thermal
40
I
collector goes to the desorber and returns the collector to gain heat from the collector
The valve between ~dsorber and evaporator and the valve between desorber and
condenser are closed during pre-coolinglpre-heating period While these are open
during adsorption-evaporation and desorption-condensation process The schematic of
the adsorption cooling with solar thermal collector panel is presented in Figure 21
The characteristics of adsorbentadsorbate (silica gel-water) are utilized to produc~
use(U1cooling effect run by solar powered adsorption chiller
23 FormulationThe system is similar to the system that Wasdeveloped for the SoCold project (Clauss
et al [2008]) where methanol and AC-35 activated carbon were used as working pair
for refrigeration The chiller configurations are similar as Saba et al [1995b] and the
computational model is same as Alam et al [2013a] In this study Silica gel and
water pair is used for air conditioninR as this compound is environment friendly and
the driving tempeature is between 500 to 80degC Though using MeOHlAC-35 pair
appears to be cost effective b~t water has lesser pressure and density compared with
methanol for the same operating conditions
The half cycle time is considered as 550s The pre-heating and pre-cooling time are
same and is 30s The pre-coolingpre-heating time is considered based on in view of
enhancement of the performance according to Miyazaki et at [2009] The
temperature pressure and concentration throughout the bed are assumed to be
uniform Thus based on these assumptions the energy balance of the adsorbent bed
duiing the desorption is represented by
d ~dt (W MCaM + WsiCSi + W5iqdc pJTd= Q5IM~i d + 11HwC pHW (THWouI - Tmvi~)(21)
The energy balance of the adsorbent bed during the adsorption is represented by
d ~( ~ dq a C dq a ( T )- WMCdM +WsiCSi +WsiqaCplw a =Q5tMSi --+Mi SiCpvw-- Tev - adt dt dt
+ mew Cpew (rew in ~ Tewaul ) (22)
41
-_ __-__-----__----__ __ ~
V4btgt~c- ()- ~0
VIO 00U-
5
VI
V2 ~ V8~ --~-_u Evaporator~
~-~-----l_-_t=-=-==-==tJ=c=oo=li=ng=l=oa=d[]
- ~~
bull t~
Figure 21 Schematic diagram of Solar cooling adsorption installation
42
(23)
Left hand side of both equations (21) and (22) stand for the sensible heating of
adsorbent material vapor inside adsorbent metal used in adsorbent bed The first
term of right hand side of equations (21) and (22) is adsorptiondesorption heat the
second term is for energy transport due to vapor transfer from evaporator to adsorbent
bed during adsorption-evaporation process and the third term is for energy outin
during adsorptiondesorption process
Based on the same assumptions the energy balance for the condenser is represented
by
d ~( ~ dqd dqd ( )- MCedM +MCcw ed =-LMs--+Mscpvw-- Ted -Tddt dt dt
+m c (T -T )edw pedw wedm wedout
Here left hand side of equation (23) represents sensible heat of materials used inr condenser heat exchanger and the condensed refrigerant inside condenser The first
term of right hand side is energy released by the vapor during condensation The
second term is for the energy transportation due to vapor transfer from bed to
condenser and third term is for energy release from condenser through the heat
transfer fluid
Similarly the energy balance for the evaporator is represented by
d r( ~ dq a dq d ( )-tMCeM +MCew e =-LMs--+MsCplw-- Te -Teddt dt dt
(24)
Here left hand side is as the previous cases corresponds to sensible heat of materials
used in evaporator heat exchanger and the amount of refrigerant inside evaporator
The first term of right hand side of equation (24) is for the energy extracted by
evaporated vapor during evaporation process due to the characteristics of latent heat
of vaporization the second term is for the energy transportation due to the transferred
condensed refrigerant from condenser to evaporator and third term is for energy
extraction from the inlet chilled water which is actually Hie cooling production
43
However the surface diffusivity is dependent on diffusion coefficient of the adsorbent
where the overall mass transfer coefficient function is k a dependent on adsorbents p
(silica gel) surface diffusivity Ds and particle diameter R p
(27)
(26)
(25)
The next equation is used to calculate the outlet temperature of the different water
loops
ToUl
=T+(Tjn -T)exp(-UAmCpJ
The adsorption rate for silica gel-water is dependent on a nonlinear function ksapandbullof difference between concentration of equilibrium state q and that of the present
state q
Dso and activation energy Eo
(28)D~= Dso exp(-Eo RT)
q = equilibrium concentration at temperature T which is calculated by
(29)
This is known as modified Freundich equation to provide a concise analytical
expression of experimental data
Here B = bo + bIT + b2T2 + bT3 A = ao + 0IT + a2T2 + 03T3 The saturation pressure is
calculated according to the Antonies equation where the experimental values of
coefficients Aj s and Bjs are given in table 21 The saturation pressure of water is
calculated by
Ps(T) = 13332 e [183-3820 1(1-461)] (21 0)
The cooling capacity is calculated by the equation
44
(213)
(212)
endojcyclelime
JmcwcpcW(Tcwin - Tcwou)atCOP = beginofcycletime
cycle endofcycletime
JmHWcpHW(THWoul -THWin)atbeginofcyclelime
endofcycletime
Jmcwcpcw (TCwin - Tcwou)atCOP = beginofcyclelime
sc endofcycletimeIn Acdtbeginofcyclelime
cycle
CA CC = m chill C IV f (rchillin - Tchill OUI it t cycle bullbull (211 )o
The cycle COP (coefficient of performance) and solar COP in a cycle (COPsJ are
calculated respectively by the equations
~~ In equation (213) I is the solar irradiance Acr is each projected area and n is the f
number of collector
Table 21 Numerical values of the coefficients ai s and bi s
coefficients value coefficients value
ao -15587 bo -65314
aj 015915 bl 072452E-Ol
a2 -050612E-03 b2 -023951 E-03
a3 053290E-06 b3 025493E-06
231 Solar System
Measured monthly average global insolation (solar irradiation) data for the station of
Dhaka has been used This data is supported by the Renewable Energy Research
Center University of Dhaka (Latitude 2373deg N Longitude90AOdeg E) The monthly
45
maximum and minimum average temperature (OC)at Dhaka station is supported by
Bangladesh Meteorological Department
A series of enhanced compound parabolic concentrator (CPC) collectors is attached
with the cooling unit as heater The geometry of the collector is described in Chapter
1 Heat transfer fluid (water) is assumed to enter the collectors parallel That is total
flow rates are divided equally and enter to each collector There are nine pipes in
each collector Heat transfer fluid enters the nine pipes serially That is the outflow of
the first pipe enters the second pipe outflow of the second pipe enters the third pipe
and so on the outflow of the ninth pipe of each collectors combine and enters to the
desorption bed Therefore nine equal subsections have been considered for each
collector Under these assumptions the energy balance for each collector can be
expressed as
[ UcpiAcpi Jwith Teriout= ~ri + (Teriin - ~ri )exp - mJere J
where
1= 1 S ( 7 (I - t sunrise ) Jmax zn ------t sunset - 1sunrise
(214)
(215)
(2 f6)
Here 17sc is the efficiency of the CPC as a function of the ambient temperature
The solar system considered during this mathematical study consist enhanced
compound parabolic concentrator (CPC) This study investigates the prospect of the
scheme for the global position of Bangladesh Therefore for the collection of the
solar insolation the model of the CPC considered here is same as the above mentioned
project The compound parabolic concentrator (CPC) developed by Solarfocus-GmbH
with area 2415 m 2with efficiency
(- J (- J2T -T T -T 17sc = 075 - 257 HW J am - 467 HW J am (manufacturersdata)
46
(217)
Where THW is the heat transfer fluid mean temperature
The set of differential equations appeared from (21) to (24) and (210) has been
solved by implicit finite difference approximation method The water vapor
concentration in a bed is represented in equation (26) Where the concentration q is a
nonlinear function of pressure and temperature It is almost unfeasible to divide the
concentration in terms of temperature for the present time and previous time Hence
to begin with the temperature for present s~ep (beginning of the first day) is based on
assumption The pressure and concentration is then calculated for the present step
based on this assumption of temperature Later gradually the consequent steps are
calculated based on the primary concentration with the help of the finite difference
approximation During this process the newly calculated temperature is checked with
the assumed temperature if the difference is not less than convergence criteria then a
new assumption is made Once the convergence criteria are fulfilled the process goes
on for the next time st~p The cycle is in unstable conditions in the beginning
however it reaches its cyclic steady state conditions after few cycles Therefore the
program is allowed to run from the transient to cyclic steady state The tolerance for
all the convergence criteria is 10-4 bull
The equations for desorber collector and reserve tank are completely dependent on
each other Therefore those equations are discretized by the finite difference
approximations which form a set of linear equations in terms of temperature and their
47
900800
f1E 700
~ 600c2 500+(U-o 400IIIs - 300_(U
0 200til
100o
bull
=Simulated data Ii 16042008 RERC
[l 06042009 RERC [JI
5 7 9 11 13 17 19
Day Time (Hoursl
Figure 22 Solar insolation simulated and measured for the month of
April
48
Table 22 Design and the operating conditions used in the simulation
Symbol Descriotion Value
Abed Adsorbent bed heat transfer area 2415m2
Ud Heat transfer coefficient of bed 172414W Im2K
WtmHeat exchanger tube weight (Cu) 512kg
Wfm Heat exchanger fin weight (AI) 6404kg
A Evaporator heat transfer area 191m2
Ubullbullbull Evaporator heat transfer coefficient 255754W m2 K
WM Evaporator heat exchanger tube weight (cu) 1245kg
A Condenser heat transfer area 373m2
Vee Condenser heat transfer coefficient 411523W m2 K
WM Condenser heat exchanger tube weight (cu) 2428kg
AcrEach collector area 2415m2
Wcp Weight of each pipe including absorber sheet O4913kg
Np Number of pipe in each collector 9
rilhotTotal mass flow rate to CPC panel or to desorber 13kg Is
feooCooling water flow rate to adsorber 13kg s
WS1Weight of silica gel in each bed 47kg
Wvar Liquid refrigerant inside evaporator initially 50kg
m IcondCold water flow rate to condenser 13kg Is
fchlll Chilled water flow rate O7kgls
Weobullbullr Condenser refrigerant inside condenser OOkg
Qst Heat of adsorption (silica gel bed) 281E + 06J I kg
Rgas Water gas constant 462E + 02J I kgK
pounda Activation energy 233pound + 06J kg
Dso Diffusion coefficient 254pound - 04m2 s
Rp Particle diameter (Silica gel) 035pound - 03m
T Cooling source temperature 30C
TchlllChilled water inlet temperature WC
c bull Specific heat of water (liquid phase) 418E + 03J I kgK
c Specific heat of water (vapor phase) 1 89 E +-03J kgK
Cebull Specific heat of copper (Cu ) 386J kgK
Co Specific heat of aluminum (AI) 905J kgK
C Specific heat of silica gel (Si ) 924J kgK
L Latent heat of vaporization (water) 26pound + 06J I kg
49
24 Result and Discussion
where i equals to the time difference between the maximum insolation and maximum
temperature of the day
outlets A Gaussian elimination method is exploited to solve the system of linear
equations In t~e beginning all initial conditions are set on ambient temperature
however concentrations have been taken slightly less than its sa~uration conditions
which allow the program run steadily
(218)
The ambient temperature is calculated as
T__Tmax + Tmin Tmax = - Tmin S (1f (Daytime - Sunrise tim e - i) )
am ~--~+-~-~ In ----------- 2 2 Daylength
Bangladesh is tropical country duration of monsoon is longer than dry winter and hot
humid summer Hence in order to study chiller performance a typical hot day from
April has been considered The average maximum temperature in April is reported as
34degC at day time The average of average maximum insolation in one day for seven
years is calculated as 771 W1m 2 bull Though the maximum insolation is reported in the1-
~ month of May but due to the rainy season it is not consistent The simulated and the~~
measured insolation data are attached in Figure 22 for a typical hot day in April The
measured and simulated data are in good agreement The set of differential equations
have been solved numerically The simulation was run for three consecutive warm
days to investigate the solar adsorption system ability to maintain thermal comfort
during heat waves All the operating conditions are available in Table 22 The system
comes to its steady state from the 3rd day All the results are given for day 3 The
investigation is done by increasing the number of collectors keeping the standard
cycle tim~ 550 to get optimum performance for cooling In addition different cycle
time with various collector number have also been considered in intension to
calculate optimum collector number for the considered chiller
Later effect of the operating conditions has been studied for optimum projected area
with optimum cycle time for maximum cooling capacity
50
~
i
241 Adsorption Unit Performances for Different Number of
CollectorsFor this study the chosen half cycle time is kept as 550s while different no of
collectors are considered The pre-heating and pre-cooling times are kept equal and
worth around 30s depending on the daytime as Miyazaki et al [2009] The
thermodynamic performances of the adsorption unit are reported in Figure 23 (a) (b)
and (c) for different number of collectors The cooling capacity of the adsorbent bed
averaged on one cycle is reported as increasing monotonically with the increase in
the number of the collector The cooling capacity is 1116 kW at peak hours when 22
collectors are in use
The coefficient of performance averaged in one cycle (COP cycle) is illustrated in
Figure 23 (b) which indicate that better performance is possible with the increase in
the number of collectors But there is no significant change in the performance at the
peak hours between 110 h to 150 h due to the change of the collector number A
similar behavior is visible for COPsc Moreover increase in the collector number even
decreases the COPsc (solar COP in a cycle) at the peak hours However at the
beginning and at the end of the day when there is less heat input through the collector
better COP cycle is noticeable for higher number of collectors Therefore it is
assumed that the COP cycle can be improved with lesser number of collectors if
cycle time is adjusted At the peak hours COP cycle is 045 whereas the maximum
COP cycle is achieved as 047 for 22 collectors at the sunset time At the peak hours
maximum COPsc is 027 (Figure 23 (c))
51
I
161412
bullbullbullbullbullS 10~U 8u~ 6
4
2
o
--14 collector--18 collectorso~to 22 collectors
bull bullbull -16 collectors=t -- 20 collectors
I
T 8 9 -10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
Figure 23 Performance ofthe chiller for different number of collectors (a)
Cooling capacity for different number of collectors
52
06
05
Gl 04]~ 03Ou 02
01
o
-14collectors ----16collectors 18coliectors- lt= 20collectors bullbullbullbullbullbull 22collectors
7 8 9 10 11 12 13 14 15 16 17 18 19
DayTIme (Hours)
(b) Coefficient of performance in a cycle for different number of collectors
03
025
02uIII0 0150u
01
005--14 collectors ----16 collectors
20 collectors
I _~_L L__
i
8 9 10 11 12 13 14 15Day Time (Hours)
16 17 18 19
(c) COPsc for different number of collectors
Figure 23 Performance of the chiller for different number of collectors
53
I
-
242 Adsorption Unit Performances for Different Cycle Time
During the above discussion it is understood that the cooling capacity and the COP
cycle increases w~en the collector number increases But the COP cycle does not
show any significant change when the collector number is increased from 14 to 22
during the peak hours of the day However the chiller can produce 1116 kW cooling
with 22 collectors Nevertheless there remains an optimum projected area (gross
collector area) based on the design and the operating conditions of the chiller Thus
for this study the chosen half cycle time is kept diverse while 182022 and 24 no of
collectors have been studied The pre-heating and pre-cooling times are kept equal
and worth around 30s depending on the daytime It is observed that with less number
of collectors it need longer cycle time to increase bed temperature as well as the
cooling capacity Besides there remain optimum cycle time for maximum cooling
capacity for a fixed projected area (Saha et ai [1995b] and Chua et ai [1999]) And
also for a very long cycle time the collector temperature rises beyond 100degC which is
not only inappropriate for the considered operating conditions but also hampers the
system performance Hence when the cycle time is increased beyond 800s that is
1000s while 22 collectors are in a panel the collector temperature is 100degC which is
not preferable for the present case as the heat transfer fluid in this assumption is
water Consequently in order to explore for optimum collector number 24 collectors
have been considered with cycle time 600s With 24 collectors cycle time 800s causes
a similar situation for the collector outlet As a result for 24 collectors optimum cycle
time is 600s The performance of the chiller with different collector numbers with
their optimum cycle time is produced in Figure 24 (a) (b) and (c) The cooling
capacity is maximum 1228 kW with collector number 24 But with collector number
22 it is 1199 kW There is no significant change in the cooling capacity when the
collector number differs from 22 to 24 (Figure 24 (araquo For 24 collectors and optimum
cycle time 600s maximum cooling capacity is 1228 kW The percentage increase in
cooling capacity is 2 where as the percentage increase in projected area from 22 to
24 is 9 Therefore increase in the projected area is not noteworthy Hence finally
22 collectors with optimum cycle time 800s is considered as an standard choice to run
the solar heat driven adsorption cooling system for the climatic condition of Dhaka
54
II
The COP cycle increases while the cycle time increases The increase of COP at
afternoon happens due to the inertia of collector materials (Figure 24 (b)) At
afternoon there is less heat input but there is relative higher cooling production due to
the inertia of materials of collector Therefore there is slow increase of COP
However it starts declining suddenly when the insolation is too low to heat up the
heat transfer fluid A sudden rise of cycle COP is observed at late afternoon This
happens due to the excessive long cycle time comparing with low insolation at
afternoon Due to the long cycle time at afternoon there were some cooling
production at the beginning of that cycle but there is a very less heat input in whole
cycle time If variation in cycle time is considered during different time of the whole
day then this behavior willnot be observed for solar COP in a cycle (COPsc) This
study will be conducted in the later section Almost same observation was found as
for the cycle COP At the peak hours the COP cycle is 05 and the COPsc is 03
Temperature evolutions of the collector outlet and the adsorbent bed are described in
Figure 24 (a) and (b) COP solarnet gets maximum value with longer cycle time
(1200s) and is equal to 029 (Figure 24 (d)) It is also observed that COP solarnet
increases with longer cycle time and less projected area Which indicate that cycle
time and the capacity of the chiller is responsible for COP solarnet instead of
projected area When 22 collectors are in use the collector outlet temperature is 95degC
with optimum cycle time 800s hence the bed temperature is 87degC
Cooling capacity is not the only parameter to study the system performance
Comfortable cooling effect to the end user is dependent on evaporator outlet
temperature Figure 26 illustrates evaporator outlet temperature for collector numbers
22 and 24 It can be noted that for 22 collectors with its optimum cycle time 800s
evaporator outlet temperature is lower than that of with 24 collectors with its optimum
cycle time Though the maximum temperature drop is observed for cycle time 1000s
this choice is discarded since with 1000s cycle time collector temperature is 100dege
Therefore with 22 collectors the choice of 800s cycle time is appropriate Thus the
chilled water outlet is 719degC which is enough to produce comfort to the end user
(Figure 25 (b)) Nevertheless it can be observed that higher bed temperature (Figure
24 (a)) results in lower temperature evaporator outlet (Figure 25 (a))
55
(a) Cooling capacity of adsorption unit for different collectors amp theiroptimum cycle time
19
6 i-n bull ~
1715
- - 18 collectors 1200s- 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
- = 18 collectors 1200s= 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13Day Time (Hours)
119
bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors 800s- - - - 24 collectors 600s
Day TIme (Hours)
8 9 10 11 12 13 14 15 16 17 -18 19
~bullbullbullbullbullbullbull 18 collectors 1000sbullbullbullbullbullbullbull 20 collectors 800s- 22 collectors SODs---- 24 collectors 600s
18
16
14
12
~ 10lII
Uu 8ctu
6
4
2
0
7
12
j 1~~ lt~
1 08 QI) U gtu 06
Q
0u04
02
0
7
(b) Coefficient of performance ina cycle of adsorption unit for differentcollectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
56
191715
ClCD CI 018 collector 1200s=== 20 collectors 1000sbullbullbullbullbullbullbull 22 collectors 1000s
13
DayTime (Hours)
10 11 12 13 14 15 16 17 18 19
9
9
--r bull ~ --_- ---~~-~-~--~~~~- ~ 1~
~ ~
18 collectors 12005 - 20 collectors 10005 bullbullbullbullbullbullbull 22 collectors 10005 ~
bullbull
-----_ _ --~ -----OI ---- bullbullbullbullbullbullbull 18 collectors 1000s
17 20 collectors 800s~ - 22 collectors 800s
---- 24 collector 600s
8
bullbullbullbullbull 18 collectors 10005bullbullbullbullbullbull 20collectors 8005- 22 collectors 8005
---~ 24 collectors 6005
7
a
03
04
01
u0 028
035
03
bullbull 02541c~ 02III0III 0150-0u 01
005
0
7
(c) Solar coefficient of performance in a cycle of adsorption unit for differentcollectors amp their optimum cycle time
DayTime (Hours)
(d) COP solarnet for different collectors amp their optimum cycle time
Figure 24 Solar adsorption cooling for different collectors amp their optimumcycle time
57
- collectoroutlet bullbullbullbull bullbullbull bed 1
12 13
Daynme (Hours)
(a) 24 collectors cycle time 600s
--collectoroutlet bullbullbullbullbullbullbull bed1 bed2
f f
~
~ 0 bull 0 Q
bull g -- ~
~
bull bull I bull
12 13
Day Time (Hours)
(b) 22 collectors cycle time 800s
Figure 25 Adsorbed temperature of the collector outlet andadsorbent bed
58
~gt =
1312
po 11-10
9
8
deg7
6
-22 collectors800s-24 collectors600s
- 22collectors1000s
11191195 12 1205 121 1215 122 1225 123 1235
Day Time (Hours)
Figure 26 Temperature histories of the evaporator outlet for different collectornumber and cycle timOeat peak hours
59
li
i ~
243 Effect of Operating Conditions
The temperature history of collector outlet and bed for cycle time 800s is presented
in Figure 25 (b) at the peak hours The driving temperature level for the silica gel-
water pair is around 80degC (Saba et al [1995b]) Bed temperature reaches 87degC when
cycle time 800s has been considered at the steady state Besides according to the
previous discussion longer cycle during the first part of the day and a shorter cycle
time at afternoon may provide better performance Hence several choices of the cycle
time are considered Figure 27 (a) (b) and (c) depict the temperature profile of
collector outlet and adsorptiondesorption b~d To achieve the required temperature
level (i) first uniform cycle time 800s then (ii) a variable cycle time such as starting
with 800s working till 140h of the day and then gradually decreasing with a rate of
10 seconds per cycle is considered and also (iii) another variable cycle starting with
550s working till 140h of the day and then gradually decreasing with a rate of 10
seconds per cycle is considered These choices of different cycles are discussed in
table 23 With both uniform and non-uniform cycle time 800s the collector outlet is
95degC while the desorber reaches to 87degC And with non-uniform cycle time starting
from 550s the collector outlet is 93degC and desorber bed is 85degC
Clearly there remain an optimum cycle time for maximum cooling capacity (Sana et
al [1995b] and Chua et al [1999]) the optimum cycle time for collector number 22
in April is 800s which is discussed in the earlier section It can be mentioned here
that the collector size can be reduced by taking longer cycle time for solar heat driven
adsorption cooling system (Alam et al [2013a]) However it may reduce cooling
capacity for taking excessive long cycle time Therefore it is essential to take both
driving source temperature as well as cooling capacity into consideration to select
optimum cycle time The comparative performances of all the three different choices
of the cycle time allocation are presented in Figure 28 (a) (b) and (c) Since for the
first part of the day that is from sunrise till 140h on behalf of both case (i) and (ii)
cycle time 800s is identical therefore CACC for these cases are similar during this
time period As designed for the second part of the day with longer cycle the chi~ler
takes few more minutes to c01-tinueworking compared to the shorter cycle However
in favor of case (iii) with shorter cycle to start with the chiller starts working late
60
compared to the first two cases and also stops working earlier (Figure 28 (a))
Although for all the three cases the maximum cooling capacity around 119 kW
which is achievable taking 22 collectors can be obtained
Conversely increase in the cycle time increases the COP values of the system (Saha
et al [1995b] and Chua et al [1999]) The maximum COP cycle 065 and COPsc 0316
is achievable by the proposed system when uniform 800s cycle time is considered at
late afternoon (Figure 28 (b) and (c)) At afternoon there is less heat input but there
is relative higher cooling production This happens due to the excessive long cycle
time comparing with low insolation at afternoon Due to the long cycle time at
afternoon there were some cooling production at the beginning of that cycle but there
is a very less heat input in whole cycle time When shorter cycle time is taken this
behavior was not observed for solar COP Almost same observation was found as for
the cycle COP The overall maximum COP cycle is 06and COPsc is 031 whilst case
(ii) is considered Since the optimum cycle time is 800s for collector number 22
CACC decreases when cycle time is less than 800s However the unsteady behavior
of the COP values at late afternoon can be corrected by taking shorter cycle time at
the sunset hours
Table 23 Design of cycle time
Case Starting Duration of Rate of Duration of Rate of
cycle Increase Increase decrease decrease
(i) 800s
(ii) 800s 140 - 185 h 20 scycle
(iii) 550s 55 - 140 h 20 scycle 140 - 185 h 20 scycle
61
110100
P 90-~ 80J10 70~ 60~ 50I-
4030
=collectoroutlet -bed 1 --bed2
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day TIme (Hours)
(a) 22 collectors with uniform cycle 800s-I
=collectoroutlet =--bed 1 ==bed 2~
110 100 ~
U 900- 80(1)gt0-jbull 70IIIbull(1)Q 60E(1) SO
4030
5 7 9 11 13 15Day Time (Hours)
17 19
(b) 22 collectors with non uniform cycle starting from 800s decreasing from
140h
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
62
(c) 22 collectors nonuniformcycle starting from 55Osincreasing till 140h then
decreasing gt I11i
1917151311
DayTime (Hours)
97
=collectoroutlet ==-bed 1 --=-==bed2110
~ 100d1
f(
U 900-lt1l 80l+ 70(ll lt1lQ 60E 50
4030
5
Figure 27 Temperature history of different heat exchangers for 22collectors for different choices of cycle time
Il
1917
uniform cycle 800s
9
c==starting with 550s increasing till14h thendecreasing
-starting with 800sdecreasing after 14
11 13 15
Day Time (Hours)
(a) Cyclic average cooling capacity
()fJ
~~ 13
121110
9~ 8 7
U 6u-laquo 5u4321 -0
7
Figure 28 Performance of solar adsorption cooling for 22 collectors withdifferent choices of cycle time
63
1
08
41 06ugtua0 04u
02
o
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550 increasingtill14h then decreasing
7 8 9 10 11 12 13 14 15 16 i7 18 19
Day Time (Hours)
(b) Coefficient of Performance in a cycle
=uniform cycle800s-starting with 800sdecreasingafter 14h-starting with 550sincreasingtil114h then decreasing
05
04
u 03VIa
0u 02
01
0
7 9 11 13
__ I
15 17 19Day Time (Hours)
(c) Coefficient of Performance of solar in a cycle
Figure 28 Performance of solar adsorption cooling for 22 collectors with
different choices of cycle time
64
~
(J
1ltlt
1lt ~
lt)lt
The chilled water outlet t~mperature histories at peak hours for different design of
cycle time have been depicted in Figure 29 (a) The fluctuation of the chilled water is
71 to 113degC at the pick hours when uniform 800s and non-uniform 800s cycle is
considered while it is 74 to 111degC for the case of non-uniform cycl~ 550s The
evaporator outlet at the late afternoon is also depicted in Figure 29 (b) In air
conditioning system CACC and COP are not the only measurement of performances
If those values are higher but there is relatively higher temperature chilled water
outlet then the systemmay not provide comfortable temperature to the end user With
uniform cycle time 800s chilled water outlet shows lower temperature than the other
cases for both at peak hours and at late afternoon Although the difference in the
chilled water temperature between the different cases of cycle time is negligible
Hence reviewing the performance and the chilled outlet non-uniform cycle time
starting with 800s till 140h and then decreasing till sunset at the rate of lOscycle
(case (ii)) could be a better choice to get maximum cooling capacity with a better
performance The outputs of different design of the cycle time are displayed in Table
24Table 24 performance of different desig~ of cycle time
Cycle Time (case) Collector Desorber Chilled CACC COPcycle COPscoutlet (OC) water (kW)caC) outlet
(OC)(i) Uniform 95 87 71 119 065 0315
800s(ii) Non- 95 87 71 119 057 0314
uniform800s
(iii)Non- 93 85 74 118 056 0311uniform550s
65
12115
11
U 105a-~ 101i 95~ 9E~ 85
8757
1195
-starting from 800sdecreasingfrom 14h-starting with 5505incr sing till14h then decreasin-uniform ~ycle8005
12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
r Co
figure 29 Evapo~ator Qutlet for different choice of cycle time at peakhours
66
Next the effect of the chilled water flow has been studied Different amount of chilled
water supply to the evaporator is considered in view to increase the cooling capacity
Thus three different choices of chilled water flow rates are considered The
comparative performances of the chiller due to this change are illustrated in Figure
211 (a) (b) and (c) A choice of 1kgs 07kgs and O4kgs chilled water supply to the
evaporator is considered For a less amount of chilled water supply results in a less
amount of evaporation of refrigerant As a result there is comparatively less amount ofI
adsorption and desorption Hence less cooling capacity is visible A similar behavior
is observed as for the cycle COP and COPsc In addition for too low supply of chilled
water and for an exceptionally longer cycle time there is an abnormal high value for
COP cycle at late afternoon On the other hand increase in the volume of the chilled
water flow from 07kgs to 10 kgs does not increase the volume of evaporation of the
refrigerant Hence the volumetric flow of chilled water at the rate of 07 kgs could be
considered as optimum amount of flow for the base run condition
A change is also observed in the temperature profile of the collector outlet and the
adsorption desorption beds due to the change in the volumetric flow of chilled water
Temperature of collector outlet and desorption bed decreases as the volumetric flow
of chilled water increases Increase in the chilled water flow results in increasing
evaporation consequently adsorption increases so does desorption Thus the cooling
capacity increases Hence more heat is utilized inside the desorption bed as a
consequence temperature of hot water outflow from desorber decreases For this
reason the temperature of collector outlet is lower compared to that of the case of
lower volumetric flow of chilled water The teflperature histories of the collector
outlet beds and evaporator outlets for different volumetric flow of chilled water are
presented in Figure 210 (a) (b) and 312 It has been observed that rate of volumetric
flow of chilled water (Fe) is inversely proportional to the temperature of collector
outlet (THOIout) and is directly proportional to evaporator outlet (TChiUouI) and cooling
capacity (CACC) which is supported by equations (211) and (2 12)Since COP cycle
is dependent on cycle time therefore for a considered cycle time if the chilled water
flow decreases temperature difference between chilledwater in and chilled water out
67
II
=collectoroutlet -bed 1 =bed 2120110
U 100o- 90 bullbullJ 80tu~ 70~ 60
~ 504030
5 7 9 11 13 15 17 19Day TIme (Hours)
(a) chilled water flow 03 kgls
fr
Ii ~
110
100 =collectoroutlet =bed1 -~~bed 2
- 90u0-C1l 80bullJ+J 70robullC1lQ 60EC1l 50I-
40
30
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Day Time (Hours)
(b) chilled water flow 1 kgls
Figure 210 Temperature history different heat exchangers with 22 collectorscycle time 800s for
68
Day Time (Hours)
-__-~--~-
(a) CACC
-chilled flow03kgs=-chilled flow07kgs-chilled flow1kgs
__ ~_L_~_~_
9 10 11 12 13 14 15 16 17 18 19
chilledflow03 kgs =chilledflow 07kgs -chilled flow1kgs1
09
08
07
~ 06gtrr 058 04
03
02
01 -
o
13121110- 9
S 8 7-u 6uot 5u 4
3210
7 8
7 8 9 10 11 1213 14 15 16 17 18 19
Day rfme (Hours)
(b) COP cycle
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
69
Figure 211 Performance of solar adsorption cooling for 22 collectors cycletime 800s with different chilled water flow
19171513
Day Time (Hours)
(c) COPse
119
-chilled flow03kgs -chilled flow07kgs -chilled flow1kgs
04
035
03
025uQ 020v
015
01
005
0
7
151413
U 12~ 11
ltIJi 1010 9bull~ 8E 7 6
543
bullbullbullbullbullbullbull chilled water flow 1 kgs- chilled water flow 07 kgs
~ - chilled water flow 03 kgs bull 1o~o 000000000
00000deg(1
bull__ J 1 bull ~_J
i195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
Figure 212 Evaporator outlet for different amount of chilled water flow
70
increases at the same time temperature difference between collector in and collector
outlet increases
25 SummaryCooling capacity increases with the increase of the number of collectors Maximum
COP cycle is observed for 22 collectors an~ it is around 047 In order to improve the
system performance one can cOnsider longer cycle time However since there remains
optimum cycle time for maximum cooling capacity Saha et al [1995b] and Chua et
al [1999] the maximum cooling capacity is achieved for 800s cycle time and it is
119 kW when 22 collectors are in use The change in the cycle time does not have
much effect on the cycle COP at the beginning of the day but increases at the end of
the day A similar trend is observed for COPsc The optimum COPsc is 03 at the
peak hours
It is seen that collector temperature reaches to 952degC thus the bed temperature is
875degC with optimum projected area and cycle time The evaporator temperature
decreases to 71 degC which is enough to provide comfortable room temperature for an
en~ user Based on the above study it can be concluded that for the climatic condition
of Dhaka 22 collectors with 800s cycle time could be a better choice to run a solar
heat driven cooling system
The effects of some operating conditions have been mathematically investigated For
the climatic conditions of Dhaka for the month of April 22 collectors are considered
with different design of cycle time The optimum cycle time for collector number 22
is 800s If longer cycle time in the morning and in the afternoon and a comparatively
shorter cycle time at midday is considered the chiller can produce maximum cooling
with optimum COP Furthermore amount of chilled water is also a parameter for
cooling capacity Hence the effect of different volumetric flow of chilled water is
investigated With the optimum cycle time and 1kgs chilled water supply maximum
cooling capacity is 123 kW But cooling capacity is not the only measure to describe
system performance It the evaporator outlet temperature is lower than the other
options of the flow rate it will be more comfortable to the end user The minimum
71
~
c
bull~
~r f
~
evaporator outlet is 71degC for chilled water flow 07 kgso Hence chilled water flow
07 kgs is the best choice for the chiller The cooling capacity and also temperature of
chilled water outlet are proportional to the amount of chilled water supply to the
evaporator But temperature of collector outlet is inversely proportional to amount of
chilled water supply to the evaporator
The foremost drawback of the Solar heat driven adsorption cooling and heating
syste~ is its requirement of huge area and cost for the installation of the collector
panel and the cooling unit It is essential to study the consequence of the operating
conditions in need of reducing both installation cost and installation area Bangladesh
is a tropical country it observes mainly three seasons namely hot humid season
monsoon and dry winter Hence it is important to study the optimum performance of
the chiller round the year In Chapter 3 the study is conducted for some months of
different seasons of the year
72
CHAPTER 3
Yearly Analysis of the Solar Adsorption Cooling for the
Climatic Condition of Dhaka
31 Introduction
For the climatic condition of Dhaka it is pragmatic to install 22 collectors to gain
driving heat with optimum cycle time 800s in order to run the solar heat driven
cooling and heating system where silica gel- water pair is considered as the
adsorbentadsorbate pair In the previous chapter it was discussed that for a typical
day in the month of April the available solar insolation can raise the bed temperature
to 85degC at 12h with the base run condition given inTable 22 But the solar insolation
data and the temperature varies with different seasons of tile year Therefore it is
indispensable to study the prospect of the solar heat driven cooling unit for the
climatic condition of Dhaka round the year The feasibility of installation of the solar
heat driven environment friendly cooling system depends on the accurate choice of
the number of collectors and the operating conditions
32 Result and DiscussionIn Chapter 2 it was observed that based on the available solar insolation ill the month
of April 22 collectors each of area 2415m2 has been taken into consideration Since
available solar insolation differs with different seasons of the year a standard number
of collectors should be chosen to be installed In the present chapter the program is
allowed to run with 22 collectors and optimum cycle time 800s for several months
during hot summer season and dry winter season First the driving temperature level
which is reported as around 80degC for silica-gel water pair (Saha et al [1995b] and
Chua et al [1999] is checked then the performances has been checked For the present
case 22 collectors is the best option for which the performances do not affect too
much and driving heat source temperature level can be controlled by adjusting the
cycle time Figure 31 presents a comparison between simulated and measured data
73
900
800 I-NE 700bullS 600-c 5000PIV 400 bullbull0IIIC 300bullbull ~sjmulated dataIV 2000 bull 27032004 RERC III
100 A 28032005 RERCa
5 7 9 11 13 15 17 19Day Time (Hoursl
III11I
Figure 31 Solar insolation data for several months of the year (a) March
I I
19171513119
900800
E700 ~~ ~ ~
c 600 EJ ~
1~~ ~~ c 300 I d ~ ~
12 j bull =Simulated data 0 0 o 200 A 1 [] III I A 16042008 RERC
100 ~ [II 06042009 RERC bull Gl~ 0 A ~o - I
5 7
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (b) April
74- _- - _~----~~------
800700-NS 600
~- 500c0- 400to-0 300IIIC
- 200nI0V) 100
a ~~ 5 7
9 11 13Day Time (Hours)
II
15 17 19
lIII
Figure 31 Solar insolation data for several months of the year (c) Ju~e
simulated data[J 25082003 RERCbull 27082006 RERC
600
~ 500Ebullbullbull$- 400c0 300ro-CIIIc 200-roa 100III
0
5 7 9 11 13 15 17 19
Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (d) August
75
Figure 31 Solar insolation data for several months of the year (e) October
600
500-NE--= 400A-t
0~ 300 A nl0ent
200 bullnl A bull0VI =sjmulate~ata100
A bull 06102006 RERCamp
0 0710 007
5 7 9 11 13 15 17 19Day Time (Hours)
600[J
1500 ~
~ 400 )- V g P bull fl~ 300 _ If ~Of ~III i bull 0c 200 - IJ Q
~ I if simulated data a 100 1
1
- l 0 3i122E04RERC bull bullf G bull 08122006 RERC Do Lbull_L____i__ L J bullbull L__ -L1-B- __
5 9 11 13 15 17 19Day Time (Hours)
Figure 31 Solar insolation data for several months of the year (t) December
76
of insolation for few months that is of March April June August October and
December It is seen that the simulated model for the insolation shows good
agreement with measured data for March April and December The deviation seen in
the simulated and measured data for June August and October is due to cloud
coverage since monsoon has already started from the end of May The simulation of
the insolation is done according to a sine function (equation (215))The climatic data
for the proposed months have been illustrated in table 31
First the driving source temperature needs to be adjusted and then the performance
can be analyzed The driving heat that is produced to the chiller comes from the
collector outlet The heat absorbed by the collector material depends both on the
available insolation and the ambient temperature since in the beginning of the day
collector input and the cooling load is the water in ambient temperature
Consequently for different seasons available insolation and maximum minimum
temper~ture varies According to Figure 31 the available solar insolation in the
month of March and April are moderate and is approximately 700-800 Wm2 which
gradually increases but during the later months due to monsoon measured average
insolation is less than that of April However it starts decreasing from Septemoer and
in the month of December it is approximately 500 Wm2
Based on the analysis of Chapter 2 a standard of 22 CPC collectors has been chosen to
be installed in order to produce maximum cooling with the proposed chiller with the
base run conditions The climatic data was taken for the month of April Figure 32 (a)
illustrates the temperature histories of the collector outlet and bed temperature for ~he
month of March It is seen that the bed temperatures are within the range of the -
temperature of driving temperature that is around 80degC It could be also observed
that the half cycle time (heating or cooling) 800s is required for March which is
similar as for April However with the change of the climatic datathere is change in
the system performance The Figure 32 (b) shows that for the same number of
collectors and cycle time the bed temperature reaches to 95degC Hence with cycle time
800s the bed temperature is at the desirable level for the rest of the months (Figure 32
(c)-(f)) While the insolation is incr~asing during the next month August but due to
77
toe rainy season it is not consistent and the average insolation data appears to be less
than that of the month of April However this study has been conducted considering
optimum projected area and cycle time considered in the previous chapter for the
typIcal hot day of the month of April Thus the highest collector temperature is
observed to be95degC in April and the lowest temperature is 65degC in December
Table 31 Climatic data for several months
Month Average of average Maximum Minimum
maximum temperature temperature
insolation day- degC degC
HVm2(Average on 7
years)
March 712 300 188
April 771 340 240
June 568 314 258
August 546 325 266
October 536 312 250
December 501 259 164
Figure 33 shows the performance of the chiller for different months It can be seen
that cooling capacities varies for different months It is also seen that cyclic ayerage
cooling capacity (CACC) of April is higher than that of other months This is due to
the higher solar insolation in April The cooling capacity in December is minimum
and it is 66 kW Thus with the proposed system for the climatic condition of Dhaka
the maximum cooling capacity is 119 kW during April with 22 collectors And the
minimum cooling capacity during December is 66 kW It is also observed that there
is a very little variation in the values of COP cycle for different months at the peak
hours But there is little variation at late afternoon The COP cycle is steady However
for all cases COP cycle increases steadilyup at afternoon The maximum 0316 COP
78
-__-------------------------__-_-
l
sc is achievable with the proposed system whereas the average COP cycle at the peak
hours is 05 for the climatic condition of Dhaka
In air conditioning system CACC and COP are not the only measurement of
performances If those values are higher but there is relatively higher temperature
chilled water outlet then the system may not provide comfortable temperature to the
end user From this context the chilled water outlet temperatures for different months
are presented in Figure 34 It is noticeable that for higher temperature hot water
supply to the desorber results in lower temperature evaporator outlet For the month of
December with 22 collectors cycle time 800s bed temperature reaches 65degC which
results in O4degCevaporator outlet On theother hand in April bed temperature is 95degC
and hence the evaporator outlet is 73degC It is well ~own that less the fluctuation of
chilled water temperature better the performance of the system However the chilled
water outlet temperature can be controlled by adjusting the flow rate of chilled water
which is discussed in the previous chapter
79
~
--coliectoroutlet bullbullbullbullbullbullbull bed1
115 12Day Time (Hours)
125
bed 2
13
i (a) March
bed 2
~bull I
o
-~
-- collector outlet bullbullbullbullbullbullbull bed 1
85
~[35 LL
115
105 -
G 95o-
11 12Day Time (Hours)
1J
(b) April
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
80
-collectoroutlet bullbullbullbullbullbullbullbed1 bed2
10090-u 800bull
OJl 70J+Ill 60GIQ
EGI 50I-
40
30
bull ~- 11 115 12
Day Time (Hours)
i ~
--J~ -
125 13 I I
I
(c) June
1312512Day Time (Hours)
(d) August
115
_____ ~I _ bull i bull -- __
--collector outlet bullbullbullbullbullbullbull bed1 bed2
10090 --u 800-~
lo 70s+IVlo 60~Q
E 50~1-
4030
11
Figure 32 Temperature profile of the heat exchangers for different months with22 collectors cycle time 800s
81
--collector outlet bullbullbullbullbullbullbull bed1 bed210090-u 800-QJ- 70J
10- 60QJa-S 50QJl-
40
3011 115 12
Day Time (Hours)
(e) October
I
-J ii
125
J13
--collector outlet bullbullbullbullbullbullbull bed1 bed2
115 12Day Time (Hours)
(f) December
125 13
Figure 32 Temperature profile of the heat exchangers for different monthswith 22 collectors cycle time 800s
82
_-----------------------------------
Figure 33 Comparative Performances of the chiller for different months (a)CACC
83
bullbullbull -Junebullbullbullbullbullbullbull Decem ber
--April--October
Day Time (Hours)
10 11 12 13 14 15 16 17 18 19
bullbull
bullbulltbullbullbullo__ 1-_1 _I __ L_ bull J _I _ bullbull _L __
9
bullbullbullbull 11 Marchbullbullbull -August
87
16151413121110987654321a
-S0-UUctu
DayTime (Hours)
191817161514
---April----Augustbullbullbullbullbullbullbull December
131210 11
(b) COPcycle
9
bullbullbullbullbullbullbull March--~-June---October
1
08QI 06Ugt-uQ
0 04u
02
07 8
-J __L- __--L- __ _____ --
Marchampgt=June
=-October
---April===August000 bullbull 0 December
17 18 191614 151310 11 1298
0605
04tv
lVIQ 030u
02
01
0
7
Day Time (Hours)
(c) COPsc
Figure 33 Comparative Performances ofthe chiller for different months
84
85
(b) April
1
1
Day Time (Hours)
7 l-_---__ ~__ ~ __ ~ __ ~__ ~_~__
1195 12 1205 121 1215 122 1225 123 1235 124
Day Time (Hours)
(a) March
12
a- II-evaporator outlet
0-C1I~ 10lbullnl~C1I 9cEC1I 8bull
1194 1199 1204 1209 1214 1219 1224 1229 1234 1239
12115
a- i1e 105C1I3 10~ 95~X 9E 85~ 8
757
Figure 34 Chilled water outlet temperature for different month and cycle time800s
Day Time (Hours)
(c) June
-evaporator outlet
1199 1204 1209 1214 1219 1224 1229 1234 1239
13
125
12115
uo-ltIIbull~ 11bullltIIc 105E
~ 1095
9
1194
-evaporator outlet
13513
G 125o~ 12bullE 11510
~ 11E 105 -
10
959 1- I
1195 12 1205 121 1215 122 1225 123 1235 124
DayTime (Hours)
(d) August
Figure 34 Chilled water outlet temperature for different month and cycle time800s
86
r
135- evaporator outlet
P 125-
951205 121 1215 122 1225 123 1235 124 1245 125 1255
Day Time (Hours)
(e) October
14-evaporator outlet
G 13~Qj~J 12III ~QjQ
EQj 11I-
10
1184 1189
___ L __ J__ ~_~ __ J __ -L
1194 1199 1204 1209 1214 1219 1224 1229
Day Time (Hours)
(1) December
Figure 34 Chilled water outlet temperature for different month and cycle time800s
87
_----- --------------------------------~-_---
33 Summary
The objective of the chapter is to select an appropriate number of collectors to be
installed in order to make the most of the utilization of solar heat driven adsorption
cooling system which is run by silica gel-water pair under the operating conditions
given in table 22 round the whole year It can be concluded that 22 collectors could
be an appropriate choice for the months of summer and autumn season While for the
winter season it is not enough to produce the standard amount of cooling such as 9
kW In order to increase the cooling capacity we need to increase either collector
number or cyCle time Although too much long cycle time may affect the system
performance Also it is noticeable that the COP values are not stable at late afternoon
due to the longer cycle time and lower heat input therefore shorter cycle should be
considered for late afternoon
In the next chapter in view to improve the performance of the proposed chiller a heat
storage namely an insulated tank holding water is added with the system and the
performance of the chiller will be studied
88
---__----------------------------_ -__ _
tt~r~~~~
~
i ~ t
+ bull
1
CHAPTER 4
Implementation of Heat Storage with Solar Adsorption
Cooling Enhancement of System Performance
41 Introduction
According to Chapter 2 in the month of April22 collectors with optimum cycle time
800s are sufficient to run the solar cooling unit However it had been concluded in
Chapter 3 that the optimum cycle time and performance varies with various seasons
of the year To achieve better performance and to increase system efficiency we need
to critically investigate the operating conditions
The number of collectors had been decided based on the study discuss~d in Chapter 2
and Chapter 3 A case study had been conducted to examine the performance of solar
heat driven adsorption cooling unit based on the climatic condition of Dhaka The
program was allowed to run with different amount of supply of chiiled water to the
evaporator and taking variable cycle time at different time period during the whole
day in Chapter 3 The rest of the operating conditions are same as the previously
discussed two chapters and in Table 22 However according to all these studies it is
concluded that solar heat driven cooling system can provide required cooling to cool
down a standard size of 100m2 room But it is effective only during the day time
while solar insolation is available It is necessary to consider an alternate backup to
keep the chiller active at least for few more hours when solar insolation is not
available Nowadays there are a number of sorption heat pumps for solar coohng
available in the global market (Jakob [2013]) These units are run by different choices
of adsorbentadsorbate pairs Although the market price of these units are very high
and the driving temperature varies between 70deg- 90degC Bangladesh is a d~veloping
country in the present study silica gel-water pair has been considered as
adsorbentadsorbate pair not only for their large scale availability and low price but
also their driving temperature is Soo-80degC
89
___________ _ bull ~ bull 4lt
~ or
In this chapter in anticipation to increase working hour and also the performance of
the solar heat driven adsorption cooling system a storage tank is added with the
outdoor unit This storage tank considered to beinsulated will hold hot water which
when needed will be utilized to run the chiller at times when solar insolation is absent
or is not enough to supply heat A number of investigations are discussed in this
section (i) Two different designs have been considered for the connection between
the collector and desorption bed with the storage tank The performance of both
designs and their comparison has been discussed (ii) Different choices of cycle times
have been considered to study the performance of the solar adsorption cooling system
supported by reserve tank
42 System Description
In the present study a series of solar panel is connected with conventional single stage
two-bed basic adsorption cycle as it is mentioned in Chapter 2 A storage tank
holding water is connected with the solar panel and alternately to the two adsorption
beds Two different designs have been considered to attach the reserve tank to the
solar adsorption chiller Schematic of adsorption solar cooling system with storage
tank according to the first design is given in Figure 41 The desorberadsorber heat
exchangers (SE2 SEl Figure 41) are alternately connected to the solar panel and
condenser during the pre-heating and desorptioncondensation processes and to the
cooling tower and evaporator during the pre-cooling and adsorptionevaporation
processes respectively The heat transfer fluid (water) is heated in the solar thermal
collector and transported to the desorber Desorber gains heat and the outflow of this
hot water from the desorber then collected in the storage tank Storage tank supplies
water to the collector from it lower level where its temperature is comparatively
cooler than the upper water level This water supply gains heat in the collector arid
complete the cycle An artistic view of desorptioncondensation mode of SE2 which
is filled up by the sorption material SE (silica gel) is presented in Figure 42 The
working principle of the present system is same as the working principle discussed in
Chapter 2
90
However according to the second design the collector supplies heat through the heat
transfer fluid (water) to the reserve tarue Reserve tank then supplies water to the
desorber from its upper level which is comparatively hot than the lower level water
Desorber gains heat and outflow of the desorber is supplied tq the collector again The
schematic of the second design is illustrated in Figure 43 The rest of the working
principal is same as design 1 The hot water supply chain during both design 1 and 2
is discussed in Table 41 The operating conditions are followed as Ttable 22
As discussed in Chapter 2 that considering variable cycle time during different day
time enhances the system performance four different choices of allocation of cycle
time have also been considered Firstly uniform cycle of 1400s secondly variable
cycle time starting from 800s and different choices have also been considered One of
the choice is increasing cycle with a rate of 20scycle starting from 800s till the end of
the working hour of the system Another choice is increasing of the cycle time at the
rate of20scycle till 140h and then decreasing for the rest of the time at the same rate
And lastly increasing and decreasing the cycle time at the rate of 20scycle starting
from 800s Increasing cycle time till sunset and then decreasing These four choices
are listed in Table 42 The specification of the storage tank is given in Table 43
Table 41 Design of the solar adsorption cooling sy~tem with storage tank
j bull
1
Designl
Design 2
Collector-gt Desorber-gt Storage tank-gt Collector
Collector-gt Storage tank-gt Desorber-gt Collector
Table 42 Choices of the cycle time
Choice Uniform Nonuniform Starting Rate of Increasing Decreasingcycle cycle cycle change till till
time
1 1 - 1400s - -End of the
2 - 1 800s 20scycle working -hour
End of the3 - 1 800s 20scvcle 140h workin hour
End of the4 - 1 800s 20scycle 185h workin hour
91
V5VIO
SE2
V8
Evaporator
[ __ dere~~~d~I ~ I
1_ - - - -- - - - L - - - - - - -
I ~~-~~-~~=~~-~ II ( Condenser I)
III V4
III
IIIIIII1IIIf
- - - - - - - -1_-_1__-_-_-__-_-_-_Dcooling
loadO
V2
VI
V3
tt
J
i
Figure 41 Schematic diagram of solar adsorption cooling run by storage tank
design 1
bull
12
1
v1
HollVaer ollilel
if Cooling load
CondQnCQf
S IGlcqe tank
bullbull Pw ~IL E~apolatof-=~=~~==D- 4 -4--
Figure 42 Schematic diagram of solar adsorption cooling run by storage tank
design 1
92
I]I]
I]I]
~ V4III
IfI]I]
I
IVlO
-Evaporator
_ _W _ _ _ __ __r - - -__C_
Condenser
IIIIIII
lXt=-It2 I
I ----- -r------J - 1 r P- -r
==~=====_---figti Cnn~irDgloaJl1
IVbull ~
I
i
f t
if~Iii~~
~ t~ ~
Figure 43 Schematic diagram of solar adsorption cooling run by storage tank
design 2
93
_I
(41)
Table 43 Design of reserve tank
Symbol Description Value
LHW Dimension of the tank 13 mWrv Volume of the tank 133 m3
Wwt Weight of water in reserve tank W tvxl000-10 kgVtoss Reserve tank heat transfer loss coefficient 05 WmLKASrt Reserve tank outer surface area 6x11lml
Wtm Reserve tank metal weight AwtxO005x2700kg
43 Mathematical Formulation
The energy balance equations of the adsorption desorption beds condenser and
evaporator are same as equations 2 i to 26 Each collector has nine pipes water
enters through the first pipe and the outlet of the first pipe enters into the next pipe
thus the outlet of the ninth pipe of each collector combines together and enters into
the desorber Hence the temperature of the heat transfer fluid in each pipe is
calculated separately for all the collectors Th~ energy qalance of each collector can
be expressed asdT -
W ~=rA +mj Cj(T -T )+(l-r)u A (ram-r )CfJ1 dt 1 Cr1 cr crlm CrIout asAr crl
I
1
T =T +(T -T)EXP(UcpA Ifnj Cj)crlout crl crlln crl Cpl cr
where i=1 9 r is either 1 or 0 depending on daytime or nighttime
The energy balanc~ for te reserve tank can be expressed as
-ffw C +w C L =m C (r -T )+U AS(T -T)dt l~tm tm wt wJL wt w w bed out wt loss rI am wi
(42)
(43)
wher~ T =T Jcrlout crz+ In T == T and T = T
9 b d 1 bedoul wlincr oul e m (44)
And
Tcr 1in = Twt bull
in case of design 1
94
(45)
Although for design 2 the energy balanpe for the reserve tank can be expressed as
-ffw c + W C r = m C (T - T )+ U AS (T - T ~ (46)dt ~ tm tm wt w wt w w crOfll wt Iloss rl am wI J
The pressure and concentration in each bed is calculated as it is in Chapter 2 and by
equation (27) The performances are calculated by equations (28) to (210) The
COPsolarnet is calculated as
(48)
(47)
T =T Tbd =Ttcr 9 out wi in e In w
TbedoUI = Tcrin
fhiler stop lime bull
COP = kunsellme mchillCchl(Thln - ThllOUl)dtsola net tlltstop time
nA Idtunrlsettme cr
44 Result and Discussion
First the driving source temperature for design 1 has been checked for different
collector numb~r and cycle time The driving temperature of the adsorption cooling
system with silica gel - water pair is around 80degC Following the discussion of
Chapter 2 and Chapter 3 for the climatic condition of Dhaka Bangladesh 22
collectors each of area 2415 m2 with cycle time 800s is optimum to raise sufficient
bed temperature to run the silica gel-water adsorption cooling system with direct
coupling of solar thermal collector Howev~r the present system needs to first heat up
the water of the reserve tank and then the collector is able to provide the system
enough temperature to run the cooling unit Therefore it is observed that it needs more
collectors to heat up the bed than that of adsorption cooling system with direct solar
coupling Hence 20 22 24 26 28 and 30 no of collectors have been considered for
the present case to investigate the optimum system performance
where T = T bull 1 crlout cr+ m
and
bull
~
The temperature histories of collector outlet bed and reserve tank for different
number of collectors and cycle times to begin with have been illustrated in Figure 44
(a) (b) (c) and (d) It needs at least 22 collectors with cycle time 1400s to obtain
required ampunt of driving temperature It can be also seen that the lesser number of
collectors the lower the driving heat source temperature Increasing cycle time does
95
- __--------__-----__-----------------
not show any significant increase in bed temperature However less number of
collectors may be used if the size of the reserve tank is less than that of the present
case Or else it is also observed that the driving temperature may rise with less
number of collectors along with higher cycle time however it may affect the system
performance It can also be noted that the bed temperature fluctuate in the beginning
of the 1st day It happens due to the initial concentration At the beginning both beds
are assumed saturated with water vapor at ambient temperature therefore both beds
desorb vapor in the beginning However after few cycles the system reaches its
cyclic steady conditions Therefore performances of the system after few cycles do
not have any effect on initial conditions
In order to come to the steady state the system is allowed to run for few consecutive
days With 1400s cycle time the system comes to its steady state fro~ the second day
The chiller works till 218 h while the temperature difference between the heat so~ce
(heat input) and heat sink (ambient temperature) is 25degC The collector adsorption
desorption beds and all other units of the chiller exchange heat with the outer
environment during night time and looses temperature and come to the ambient
temperature in the next morning The reserve tank is insulated hence the tank water
temperature is 45degC at the beginning of the second day At 55h the valve between the
reserye tank and the collector is reopened Hot water from the reserve tank travels
through the collector and the bed looses temperature returns to the tank Thus when
all the heat exchangers gain the driving temperature the chiller starts working at 86 h
in the morning since it does not need to heat up the tank water this time
The collector temperature reaches to 7745degC while the bed temperature is 771degC
when cycle time is 1400s at the steady state with 22 collectors While the collector
temperature is almost 8945degC and hence bed temperature is 8922degC with cycle time
1400s and increasing collector number to 30 It is also observed that the bed
temperature and the cooling capacity does not show any significant increase due to
the increase of cycle time Rather for avery long cycle time though there is a very
little increase in the collector outlet temperature there exist a negative effect on the
96
-collectoroutlet=bed 1 -bed 2 tank~
i~
85
75-u0 65-lt1Jbulllbullbullbull 55rolt1Jae 45lt1Jt-
35
255 7 9 11 13 15 17 19 21 23
Day Time (Hours)(a) 20 collectors cycle time 1400s
23
21
~j
19171513
I Jl I I
1197
lt===Dcollectoroutlet 7=--=00 bed 1 -bed 2 tank
---L-~ ____~_~ __ ~ I __J_ __ ~ __-
9085r 801
u 750 70-lt1J 65bulll 60bullbullbullro 55bulllt1J 50C-E 45lt1JI- 40
353025
5
Day Time (Hoursl
(b) 22 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank fordifferent number of collectors and cycle time on the first day design 1
97
--__----------------------------
(c) 22 collectors cycle time 1800s
7 9 11 13 15 17 19 21 23 25Day Time (Hours)
tank-COllector autlet908580
G 750 70-OJ 65bulls 60bull(I 55bullOJQ 50E 45OJl- 40
353025
5
=collectoroutlet ---bed1 -bed 2 tank
lJ~~(J~ lOS~~
1 ~ 100~- 95~
~ 90r u 85
0 80-~ 75 70Jbullbullbull 65Illbull 60~Q 55E 50~ 45l-
40353025
5 7 9 11 13 15 17 19 21
I
23
Day Time (Hours)
(d) 30 collectors cycle time 1400s
Figure 44 Temperature histories of collector outlet bed and reserve tank
for different number of collectors and cycle time on the first day design 1
98
cooling capacity The temperature histories of the c911ector bed and the tank for three
consecutive days f~r botn collector number 22 and 30 with cycle time 1400s have
been presented in Figure 45
At the steady state in the beginning of the day the instability of the bed temperature is
absent This time temperature of the tank water is higher than the ambient temperature
and is supplied to the collector It increases the temperature of the collector and the
desorber The ~utlet of the desorber returns to the tank The temperature of the outlet
of the desorber is lower than that of the tank water For some time in the morning
when enough insolation is not available the tank water looses temperature This
behavior is visible in Figure 46
At the steady state with 22 collectors the chiller starts working one hour earlier than
the 1st day and produces maximum 81 kW cooling at 156h and the duration of the
working hour on one day of the chiller is around 135 hours when cycle time is 1400s
CACC increases monotonically with the increase of collector number And with the
optimum collector number 30 and optimum cycle time 1400s maximum CACC is 93
kW at 156 h it takes 8 more collectors in order to increase 12 kW cooling capacity
Which implies that for 15 increase in cooling capacity it asks for 36 increase in
the projeCted area The cyclic average cooling capacity CACC and the performance
of the chiller are presented in Figure 47 (a) (b) and (c) The maximum COP cycle
reaches after sunset and it is 06 while the COPsolarnet is maximum 026 at the end
of the working hour of the chiller At the sunset hours there is no heat input but still
the chiller -is working therefore shows a very high solar COP for one cycle
Maximum cooling capacity is noticed for optimum cycle time 800s while maximum
COP occurs for longer cycle time A comparative figure for CACC is produced in
Figure 48 (a) for chiller with direct solar coupling and with storage tank design 1
with their optimum projected area and cycle time respectively It is observed in
Chapter 2 that the optimum projected area with direct solar coupling is 22 projected
areas and cycle time is 800s where as it is 30 projected area and 1400s for chiller with
storage tank design 1 With direct solar coupling maximum CACC is 119 kW
99
--------- _ -- -__-
=collectoroutlet =bed 1 =bed 2 =tank
80-u 700-lt11~ 60J+-(U
50lt11aE 40lt11I-
30
5
DayTIme (Hours)
(a) 22 collectors cycle time 1400s
=collec[oroutlet ~bed 1 ==bed 2 == tank
(b) 30 collectors cycle time 1400s
Figure 45 Temperature histories of different heat transfer units for three
consecutive days for design 1
100
25
23
23
21
-
21
1911 13 15 17Day Time (Hours)
11 13 15 17 19
Da~Time (Hours)
9
(a) 22 collectors cycle time 1400s
7
7
~collectoroutlet =bed 1 ~bed 2 tank
-collectoroutlet === bed 1 ~bed 2 ~al1k
90858075-u 700-Q) 65-s 60+ro 55-Q)
Q 50EGJ 45bullbullbull 40
353025
5
~fj~
~
95lt
1 90t 85
80u 750- 70lt1J 65J+ 60((
lt1J 55Q
E 50lt1J 45~
40353025
5
(b) 22 collectors cycle time 1800s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
101
-collector outlet =bed 1 -bed 2 p -~tal1k
~
105100
9590
85uo 80-4J 75J 701n 65~ 60e 55Q) 50 r 45 r ~
- ~05 ~~ru~ I I I I 11 I i I I~I i J I I I I I I I I JO J bull bull
J 25 __----bull _~-- L I _ __ _~__- Jbull__ -__ _J__
5 7 9 11 11) 15 17 19 21 23
- lt
Day Time Hours)
(c) 30 collect9rs cycle time 1400s
Figure 46 Temperature histories of the heat transfer units at steady state withdifferent collector and cycle time design 1
102
However with storage tank design 1 maximum CACC is studied as 932 kW
COPsolarnet in case of direct solar coupling is higher than that with storage tank
(Figure 48 (b)) But if smaller dimension of the storage tank is considered it may
offer better values
In the above discussion it has also been established that for the solar adsorption
cooling system supported by heat storage (design 1) 22 collectors with 1400s cycle
time can gain sufficient heat to run the chiller But 30 collectors can be considered in
order to achieve maximum duration for cooling production As for the design 2 the
temperature histories of the collector outlet beds and reserve tank have been
illustrated in Figure 49
Both 22 and 30 collectors with cycle time 1400s have been studied for few
consecutive days It is noticeable that in case of design 1 the collector temperature is
8945degC and the bed temperature is 8922degC (Figure 45) Wh~le for the same
operating conditions in case of design 2 the collector temperature is 9238degC and the
bed temperature is around 8874degC at the steady state (Figure 410) Which indicate
that according to design 1 the chiller is capable to utilize maximum heat absorbed by
solar thermal collector On the other hand according to design 2 the collector
temperature rises higher but the bed temperature is less than that of design 1
Although Figure 47 and Figure 411 illustrate that 1400s is the optimum cycle time
to get maximum cooling capacity for both designs 1 and 2 And COP values increases
with increasing cycle time However smaller cycle time performs better in the
beginning of the day where as a comparative longer cycle time enhances the system
working hour Therefore variable cycle time need to be investigated in order to obtain
a better performance from the system Yet again design 1 is 20 minutes advance than
design 2 to start the chiller but the overall working hour is same for both of the design
Figure 412 Furthermore maximum CACC value is 93 kW and 928 kW for design
1 and design 2 respectively Comparative performances of design 1 and 2 are
illustrated in Figure 412
103
-
(
10
9
8
7
- 6Samp- 5uulaquou 4
3
2
1
0
8
~--- bull~ - ct- -+ - - ~ 11 ~
0 ~~ t ~~ ~
~ ~~ ~f
il l 1
rJ bullbullbullbullbullbullbullbullbull 20 collectors 1400s -----22 collectors 1400s
- 24 collectors 1400s ~ 26 collectors 14005 ~
----- 26 collectors 1600s ==----- 28 collectors 14005
- 30 collectors 1400s_---_---_-- __ ---_----- ~_~ __ ~ __ l___ _______ ___ __
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
Figure 47 Performance of so~ar adsorption cooling system with storage tankdesign 1
104
_-----------------------____ --------
Figure 47 Performance of solar adsorption cooling system with storage tank design 1
23211913 15 17Day TIme (Hours)
(b) COPcycle
11
bull 20 collectors 1400s ----- 22 collectors 1400s-24collectors 1400s - 26 collectors 1400s- 28 collectors 1400s - 30 collectors 1400s----- 26 collectors 16005
9
080706
~ 05ugtu 04a0u 03
0201a
7
~
20 collectors 1400s ---~-22collectors 1400s24 collectors 1400s 26 collectors 1400s
===gt 28 colectors 1400s --- 30 collectors 1400s 000f --- -- 26 collectors 1600s bullbullbullbullbull
~
o ---1--_ 1- -_---l l-_ I ---- bullbullbullbullbull -__- -- bull--_- bull
005
03
~ 02c
025
bull~ 015aou 01
8 10 12 14 16 18Day Time(Hours)
20 24
(c) COP soiarnet
Figure 47 Performance of solar adsorption cooling system with storage tankdesign 1
105
232119171513
30 collectors cycle lime 14005 with tJlik22 collectors cycle time 8005 direct coupling
I I I I I -1- __I I I I I
11
Day TIme (Hours)
(a) Comparative CACC
9
D~ 0bullbullbullbull 0 bull CIllOe o
co- e bull
~ 22 collectors cycle time 800sirect COUPIi~~bullbullbull bullbullbullbullbullbull 22 collectors cycle time 1400s ith tank bullbullbullbullbull
bullbullbull __ 30 collectors cycle time 1400s w h tank
CIClK)ta ~
I
II
II
II
OJ
o
7
025
005
1312
1110
9
3 8 7~ 65 - 5
4321o
)
~ 015ltII0
8 01
bullbullbullltu 02c
7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
DayTime (Hours)
(b) Comparative COPsolarnet
Figure 48 with optimum projected area and cycle time for direct solar couplingand storage tank design 1
106
~
-collector outlet -bed 1 bed2 -tank
ltflLIA IIl lj l
l ~ ~ bull j 1
J l f l I ~-
Vt 111lt111141deg( Lllllllllllll~] Llllllllhll~t l bullbullbull~ 1~1 ~~ J bullbullbull
-- gt1 I I -1-_ I I I I I I 1 I
I sl day 2nd day 3rd day5 8 1114 17 2a 23 26 29 32 3S 3g 41 44 47 50 53 56 59 62 65 68 71
95
85
-u 750-C1l
65s+(0 55C1lcE
45C1l
bullbullbullbull
35
25
l1iibullbullbullbullbull
~
tIt[~I bull
~I J II
J~tI
~
~
Day Time Hours)
Figure 49 Temperature histories of different heat transfer units for three corisecuttve days with 30 collectors cycle time 1400s for desigp 2
107
Finally different choices of cycle time have been investigated It has been established
earlier that 1400s is the optimum cycle time for maximum cooling capacity It can be
noticed that at the steady state the system starts working early if smaller cycle 800s
increasing till 140h and decreasing (choice 3) is considered On the other hand
working hour is extended for almost one hour for choice 1 (Figure 413) There is no
change in the cooling capacity for choices 2 and 4 For both of these cho1ces
maximum cooling capacity is 107 kW A similar behavior is observed for COP cycle
and COP solarnet
The cooling effect to the end user dep~nds on the evaporator outlet The evaporator
outlet temperature at the peak hours of the steady state that is 140h to 170h of the
third day is 75deg to 124degC (Figure 415) The lowest temperature of the evaporator
outlet is observed for cycle time 1400s of design 1 According to design 1 the reserve
tank is positioned before the collector During day time collector temperature rises
very quickly hence the temperature of the desorber can be raised within a short time
and the system becomes robust On the other hand change in the choice of the cycle
time shows that with 1400s evaporator outlet is lower than the other choices Due to
the position of the tank the efficiency of the collector has been calculated It is seen
that for design 1 overall collector efficiency is 068 at the steady state However the
efficiency gradually decryases after 150 h The efficiency of the collector 1]sc is
calculated according to the manufacturers data same as Clausse et al [2008] thatis
(41 Q)
(49)
T = THWin + THWOUIHW 2
-where ~JW is the heat transfer fluid mean temperature ie
and J is the solar insolation On the other hand there exists fluctuation in the collector
efficiency for design 2 (Figure 417(b)) The reason behind this behavior can be
explained with Figure 416
108
i
~
(a) 22 collectors cycle time 1400s
-collectoroutlet =~~=bed1-bed 2
23
21
ta 11k
19
I 1 J
1715131197
10595
- 85u0-ltIJ 75loos+ 65robullltIJa 55EltIJ 45
3525
5
Day Time (Hours)
(b) 30 collectors cycle time 1400s
Figure 410 Temperature histories of the heat transfer units at steady state with different collector ~nd cycle time design 2
109
I
109
8
7
i 6II- 5uui3 4
3
2
1
0
8 9 10 11 12 13 14 15 16 _ 17 18 19 20 21 22 23 24
Day TIme (Ihours)
(a) Cyclic average cooling capacity
Ii
08
07
06
~ 05ugt-u 04
Q
0u 03
02
01
O- 8
I~-_-__20 cillectors 1400s 24 collectors 1400s I)
26collector 1400s ---22 collectors 1400s ----30collectors 1400s ==28 collectors 1400s I
1 bull
13 18Day Time (Hours)
(b) COP cycle
23
Figure 411 The adsorption chiller for different number of collectors anddifferent cycle time at steady state design 2
110
20 collectors 1400s ---24 collectors 1400s26 collectors 1400s ----30collectors 1400s22 collectors 1400s --=28collectors 140
10 12 -14 16 18 20 22 24
bull Day Time (Hours)
(c) COPsolarnet
_Figure 411 The adsorption chiller for different number of collectorsanddifferent cycle time at steady state design 2
24222Q181614
design 1 lt=lt=lt=0 design 2
121QDay TiIne (Hours)
(a) cyclic average cooling capacity
11Figure 412 The adsorption chiller for different number of collectors and
different cycletime at steady state design 1 amp 2
111
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
10908
Q) 07tl 06e 05~0 04U 03
02010
8
~==-design 1 ---- design 2bullbullbull
IIIIIIIII
Day Time (Homs)
(b) COP cycle
03025
005
8 10 12 14 16 18
- -
20 22 24
Day Tillie (Hours)
(c) COPsolarnet
Figure 412 The adsorption chillerfor different number of collectorsanddifferent cycle time at steady state design 1 amp 2
112
gti
r-i~
121110
98
i 7II- 6uu~ 5u
4~ 3
21
0
8
1400suniform-800s nonuniform increasing-800s nonuniform increaing till14h th~n decreasing-800s nonuniform increasingtill sunsetthen decreasin
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
Day Time (Hours)
(a) cyclic average cooling capacity
2422
1-
2014 16 18Day Time (Hours)
10
-uniform 1400s=nonuniform increasingfrom 800s
nonuniform increasingfrom 800stil114h then decreasing-nonuniform increasingfrom 800s till sunsetthen decreasi
1
09
08
07
06
tugt- 05u0-0u 04
03
02
01
a8
(b) COP cycle
Figure 413 The solar adsorption cooling chiller for different choices of cycletime-at steady state design 2
113
2422201816141210
-uniform 1400s=nonuniform increasingfrom 80~s-nonuniform increasingfrom 800still14h t-nonuniform increasingfrom 800still s
8
02
005
o
025
bull~ 015tiloVIao 01u
Day Time (Hours)
(c) COPsolarnet
-t +
Figure 413 The solar adsorption cooling chiller for different choices of cycletime at steady state design 2
bullbullbullbullbullbullbullcollectoroutlet ==bed 1 -bed 2 tank10095908580-u 750- 70lt1Jbull
J 65+-til 60bulllt1Ja 55Elt1J 50bull 45
40353025
5 7 9 11 13 15 17 1921 23
Day Time (Hours)
Figure 414 Temperature history of different heat exchangers for 30 collectorswith increasing cycle starting from 800s
114
13-design =de~ign2
1482 1492 1502 1512 1522 1532 1542 1552 1562i
8
12
Day Time (Hours)
(a) Different design and cycle time
14
~nonuniform increasing from 800snonuniform increasing froln 800s til114h thendecreasing
=~= nonuniform increasing from 800s till sunset then decreasing
12 _ =uniform 1400s ~~
I ~- i~l ~
( -P amp- d 4-- ~r ~ ~ 4~
) V~ P~~r - 9 ~ ~ I f ~lt7 1 -
~ (=~
[
13
u0-lt1l 11~bullIIIlt1l 100
Elt1lI-
9
8
7
1365 1369 1373 1377 1381 1385 1389 1393 1397 1401 1405 1409
DayTime (Hours)
(b) Design 2 and different choices of cycle time
Figure 4~15Evaporator outlet
II115
~l
~~
~
I 95( 90lO 85~ 80-u 750- GJ 70( ~J 65t + ~ ror 60 GJ~ Q 55r E GJ 50 I- 45 40
3530
~design 2 -design 1
r _
5 7 9 11 13 15 17 19 21 23
Day Time (Hours)
Figure 416 Collectoroutlet design lan~ design 2 with 30 collectors and cycletime 1400s
I
~
~ ~ 116
---L__ _______ ___
~f 7 gt
ff
I I~
fi
07
06
05gtu 04c~u 03QJ
02
01
a
-collectorefficiency
5 6 7 8 9 10 11 12 13 14 15 16 17 18Day Time (Hours)
(a) Storage tank design 1
- collector efficiency
6 7 8 9 iO11 12 13 14 15 16 17 18 19Day Time (Hoursl
(b) storage tank design 2
Figure 417 Collector effici~ncy at steady state
117
~I
H
I
Cooling production with optimum collector area andoptimum cycle time
Figure 418 Cooling production by system with direct solar coupling 22-collectorscycle time 800s and with storage tank ~esign 1 amp 2 collector number 30
cycle time ~400s
Figure 419 Heat used if cooling production by the system with direct solarcoupling 22 collectors cycle time 800s and with storage tank design 1 amp 2
collector number 30 cycle time 1400s
118
With storage tank chiller need to use less heat in to produce cooling compared with
the chiller with direct solar coupling Figure 418 (a) (b) and (c) represent the bar
diagrams of energy used and produced for different cases It is observed that with
optimum collector number 22 and cycle time 800s for direct solar coupling total
cooling production is 2649036 kJ utilizing 9980169 kJ heat that is 026 cooling
Whereas the chiller produces 274174 kJ cooling with 5382294 kJ heat that is 05
cooling with optimum collector number 30 and cycle time 1400s with storage tank
The rest of the heat that is collected through the projected area are utilized to heat up
tank water which can perform for other purposes I
45 SummaryIn the present chapter a storage tanltis added with the solar adsorption cooling system
in anticipation to enhance both the working hour and the system performance Two
different designs have been considered Maximum cooling capacity 93 kW is
achievable with design 1 System working hour is enhanced after sunset with design
2 In case of both of the designs optimum cycle time is 1400s with 30 collectors
Moreover longer cycle time extends system working hours and the COP values for
both of the cases Hence variable cycle time at different time interval of the day has
been investigated with design 2 -
Considering shorter cycle in the mormng when insolation IS very low and a
comparatively longer cycle at the end of the day improves the system performance
both in view of the cooling capacity and in extension of the wrking hour after sunset
On the other hand implementation of smaller cycle time and an increasing cycle till
sunset maximize cooling capacity
However the overall collector e~ficiency is 068 for both of the designs although
uniform efficiency is observed for design 1 while it oscillates for design 2 Since the
collector outlet temperature for design 1 shows a uniform increase during day time
and decrease at afternoon as a result there is uniform value in collector efficiency Onthe other hand there exist fluctuation in the collector outlet temperature hence there
exist no uniformity in efficiency ofthe collector
The cyclic average cooling capacity 1199 kW is maximum for the chiller with direct
solar coupling The performance of the chiller with storage tank could be improved if
119
I~
i
I-~j~
smaller dimension of the storage tank or advanced adsorption chiller can be
considered It is observed that with optimum collector number 22 and cycle time 800s
for direct solar coupling chiller can produce 026 cooling where as it is 050(0 with
optimum collector number 30 and cycle time 1400s with storage tank design 1
120
L fj
iI ~
J
~
CHAPTER 5
Hot Water Supply During Winter Season Utilization of Solar
Thermal Collectors
51 IntroductionThe duration of Winter season is two months in Bangladesh According to the
geographical position of Dhaka minimum temperature of this region during winter is
around 11 to 16degC except for few irregular sudden cold waves when the temperaturedrop
is seldom less than 10degC In Chapter 2 investigation is done for an optimum projected
area and an optimum cycle time suitable for the typical hot summer period to utilize
climatic data of Dhaka for maximum cooling production It was observed that 22
collectors with optimum cycle time 800s can produce maximum cooling for the climatic
condition of Dhaka with direct solar coupling
It is discussed in Chapter 3 that the cyclic average cooling capacity (CACC) for
December for optimum projected area with optimum cycle time is 66 kw with direct
solar coupling During winter it is not necessary to run the chiller since room cooling is
not needed at this time of year But again the modern architectural buildings are designed
in such a way so that the temperature of the room can be controlled Also there is no
ventilat~on in this type of buildings Thu~ some cooling production is needed for
comfortable working environment Furthermore beyond room cooling the chiller could
be utilized for use of household hot water supply to u~ilize in cooking bathing and other
house hold affairs This will save primary energy used in cooking such as useof natural
~ gas or other primary fuelsI
According to State of Colorado estimate typical need of water [2014] a minimum well
yield of 4 to 10 gallons per minute is recommended for househol~ That includes shower
and bath faucet toilet and cloth washing Hence an average of 8 gallons of water per
~
I___L121
j
minute can be considered to be consumed for household in each_day during peak demand
in Dhaka
52 System Description and Mathematical EquationsBased on the discussion of Chapter 4 itis comprehensible that 30 collectors each of area
2415 m2 along with an insulated reserve tank (holding water) of volume 133m3 need to
be installed for expected performance On the other hand it needs 22 collectors to run the
chiller only during day time with direct solar coupling In December since cooling is not
required the valve between collector and bed and reserve tank and bed is closed The
collector panel is connected with reserve tank directly Tank supplies hot water for
household use and also to the collector The amount of outflow of tank water for
household is filled up with same amount of inflow of water of ambient temperature
during day time Tank size is same as the tank considered in Chapter 4 Weight of water
in reserve tank is half of that of the weight considered in Chapter 4 Schematic of the tank
and collector water flow chain is presented in Figure 51
In order to store hot water heated inside the collector and to reserve it in the reserve tank
a closed hot water fill is considered without any outflow for household The schematic of
the closed hot water fill is given in Figure 52
Water supply from the collector to reserve tank and from reserve tank to collector is
considered to be 1 kgs While the outflow of the reserve tank for household and inflow
to reserve tank of water of ambient temperature is equal and it is 05 kgso Exploiting a
lumped parameter model the energy balance equation for collector are
dTcr ( )WcrM i -- = 7]Acr J + mf cre ~ank - Tcr i out
dt l UCPiAcp]
TCriout = Tcri + (rtank - TcrJexp- rnIcre I
122
(5 1 )
(52)
SolarI
Tlterloal Co8ector
(
Figure51 Schematic diagram of hot water chain -between collector tank and
household use
Figure 5~2Schematic diagram of closed h~t water ~hain between collecto~ and tank
123
I _~
~Obil - Q
ii ~l~ ITllerlnal c~onector l~
~ ~T ------[lt----------~
ll I~V4
___-L
l
~
And energy balance equation of the reserve tank is
~Wt Ct +W tC ~ t=m C (T t -T t)+UtorsAS(Tam -Tw)-mwCw(Twt-Tam) dt m m w w w w w crou w (53)
Also for the second case there is no drain of water from the reserve tank for household
and therefore no fill in the tank the energy balance equation isc
(54)
53 Result and DiscussionIn December with 22 projected area and cycle time 800s collector temperature rises till
bull I 70degC at the steady state (3rd day) with direct solar coupling The temperature history of
the collector outlet and beds are illustrated in Figure 53 For 30 projected area and cycle
time 1400s when the storage tank is added (with design 2 described in Chapter 4)
collector temperature as well as the tank temperature rises gradually in each consecutive
day Since the tank is insulated there is a negligible amount of heat loss of tank water
during the night time Since in winter room cooling is not applicable the valve between
collector and bed and tank and bed is closed The c91lector panel is connected with tank
directly Tank supplies hotwater fOfhousehold use and also to the collector The amount
of outflow of tank water for household is 05 kgs and is made up with same amount of1
inflow of water of ambient temperature during day time Tank size is same as the tank
considered in Chapter 4 Weight of water in reserve tank is half of that of the weight
considered in Chapter 4 (Table 43) The temperature history of tank water and ambient
temperature is illustrated in Figure 54 In this case hot water flow from collector to tank
and from tank to collector is 1 kgso In this case 22 collectors are connected with the
reserve tank In this system tank temperature rises to 345deg~
On the other hand with storage tank 30 projected area is optimum Hence there remain 8
more collectors Hence another tank of same size can be altided with the remaining 8
collectors ~ollector supply hot water at the rate of 1 kgs to the tank and tanksupplies
124
-P~_ __ l J
--colectoroutlet bullbullbullbullbullbullbull beurod1 c=~-==bed2
~~ ~
I ~i~
At steady state Oecember 22 collectors cycle time 800speak hours direct solar coupling
- -- ~ r
~-i
Figure 53 Temperature history of collector outlet and bed for direct solar coupling
125
115 12Day Time (Hours)
125 13
= Tankwater -ambienttemperature
36
33
-u 300-QlbullJto 27bullQlCLE 24Qlt-
21
186 8 ~o 12 14
DayTime (Hours)16 18
Figure 54 Temperature history of reserve tank when 22 collectors supply hot water
to tank tank supply hot water for household and supply water fill up the tank
Figure 55 Temperature history of reserve tank when 8 coll~ctors s~pply hot water
-to tank no supply of hot water for household
Ibull
9 12
Day Time (Hoursl-
15 18
11bull
126
water to the collector No outflow from the tank is considered for household during day
time The temperature history of tank and ambient temperature in this case is illustrated
in Figure 55 The temperature of tank water at the end of the day is 4rC This water can
be used for household need after sunset
54 SummaryIn order to utilize solar heat even after sunset one needs to install 30 collectors along
with a storage tank of size 133m3bull Whereas it needs 22 collectors with optimum cycle
time to get maximum cooling during a typical hot day in April Thus in December with
22 collectors hot water supply of 345degC can be supplied for house hold use during day
time And at the same time with the remaining 8 collectors hot water of 4rc can be
t saved in another reserve tank of same dimension to be used after sunset for household
1 need
if1 In the next chapter conclusion and future work of the thesis is discussed for the climatic
j) condition of Dhaka as well as Bangladeshi~1
i
127
f
q
IjHlIIIiIIij~I
CHAPTER 6
Conclusion and Future Work
An analytical investigation was carried out to explore the prospect of implementation
of solar heat driven adsorption cooling system for the perspective of a tropical region
Dhaka Bangladesh (Latitude 2373deg N Longitude 90AOdeg E) The measured solar
insolation data collected by Renewable Energy Research Centre (RERC) University
of Dhaka has been utilized in the simulation The maximum and minimum
temperatures throughout the year and the sunrise and sunset time have been supplied
by Bangladesh Meteorological Department The concept of waste heat driven
conventional two bed basic adsorption chiller has been considered where silica gel-
water pair was chosen to be the adsorbent-adsorbate pair The climatic condition of
different global region differs widely and hence the system performance varies Since
the selected city Dhaka is a tropical region an alternative to the waste heat solar
insolation is considered to be the source of driving heat of the proposed chiller As for
the driving heat solar insolation is availed free of cost and silica gel is available low
cost and environment friendly the contribution of this system would be popular for a
developing country like Bangladesh if the installation cost can be brought to its
optimum level Based on the climatic and solar data of Dhaka the performance of a
two bed conventional basic adsorption chiller has been studied for three cases (i)
With direct solar coupling (ii) a heat storage tank is added with the system and (iii)
during winter season as hot water supplier It should be noted that the cooling
capacity increases with the increase of projected area whereas the COP values
increases with the increase of cycle time The performance can be increased by
-increasing cycle time with a smaller projected area But there exists optimum cycle
time for a particular projected area to get maximum cooling capacity Furthermore as
cooling capacity is dependent on the chiller configurations there also exists optimum
projected area Study has ~een conducted for direct solar coupling to figure out
optimum projected area to get maximum cooling for the proposed chiller with the
considered base run conditions It was observed that
bull optimum projected area is found 22 solar thermal collectors with each having
an area 24l5m2 and optimum cycle tiple is 800s128
~
bull
bull
bull
bull
bull
bull
bull
bull
bull
Maximum cooling capacity is found to be 119 kW
COP cycle is 047 at the peak hours where maximum COP cycle is 065 which
occured at the end of the day
Maximum COP sc is found as 031
Change in the cycle time is found not to have much effect on the performanee
of the chiller
Collector temperature has been raised to 952degC and bed temperature to
875degC
Evaporator outlet temperature is found to be 71degc
Optimum chilled water supply to the evaporator is 07 kgs
Chiller performs from 80 h in the morning till 180 h in the evening That is
overall 10 hours during day time at steady state
Overall cooling production in one working day is 2649036 MJ
On the other hand fot a moderate projected area too long cycle time may raise
collector temperature beyond lOOdegCwhich is not desirable for the heat transfer fluid
(water) considered in the present chiller In an intension to enhance the system
performance different choices of non uniform cycle time and chilled water flow rate
has also been studied It was seen that a comparatively longer cycle time should be
considered at the beginning and at the end of the day to prolong the system working
hour Also for the chilled water flow it is seen that for the base run conditions 1kgs
chilled water flow to the evapo~ator gives maximum cooling capacity but considering
the evaporator outlet temperature 07 kgs flow rate is better option for the
comfortable cooling for end user The available insolation varies in different seasons
throughout the year In this regard comparative performance for the months of March
April June August October and December had been studied It is observed that
better performance is achieved for themonths of March and April During this period
of the year which is the beginning of the hot summer monsoon is yet to start
Therefore sky is apparently clear than the heavy cloud coverage during monsoon
129
IIjf
starting from May till October On the other hand December is the beginning of
winter season and therefore though the sky is clear other climatic conditions such as
maximum minimum temperature and sumise sunset time affect the chiller
performance
Since solar insolation is not available at night and during day time amount of
insolation varies with time such as maximum insolation is collected between IIGh to
120h At the sumise and sunset hours the insolation is very low chiller can work only
for day time and a very small period of time If the heat can be stored and used when
sun insolation is not available work~ng hour of the chiller could be enhanced In
anticipation of the enhancement of the chiller working hour an insulated storage tank
had been joined in the system in two ways In this system since a huge amount of
water reserved in the storage tank need to be heated first in order to run the chiller the
chiller starts functioning late than the system with direct solar coupling Also it needs
a longer cycle time to heat up water in the -collector Therefore optimum projectedr
area for this case is more than that of direct solar coupling~ It is observed that with
design 1 the chiller starts functioning earlier than design 2 on the other hand with
design 2 the chiller functions late after sunset For both of the cases maximum cooling
capacity is around 93 kW The maximum cooling effect is available for a longer time
with heat storage than the system with direct solar coupling The cooling capacity and
overall cooling load could be enhanced if (a) suitable operating conditions can be
adopted and (b) an advanced system such as heat recovery system mass recovery
system or multiple stage system is implemented However with the present
considerations it can be concluded that
bull With storage tank of volume 2197 m3 containing 2177 liters of water
optimum collector number is found 30 and optimum cycle time 1400s
bull Maximum CACC is found to be 93 kW with optimum cycle time
bull Cycle time is found to be ah important parameter
bull Maximum CACC 107 kW occurs for shorter cycle during 130-150 h
130
bull Working hour enhances for longer cycle time
bull
bull
Evaporator outlet temperature is minimum for optimum cycle time 1400s at
peak hours
Minimum temperature of evaporator outlet is found to be 75degC
I
bull Overall cooling production is found 274174 MJ with design 1 and it is
2616234MJ with design 2
During winter III Dhaka mInImUm temperature vanes between 11 to 16degC and
maximum temperature is 24degC Therefore during this time of the year room cooling
or heating is not needed But hot water supply is in demand for household use It
includes demand in cooking bathing and dishwashing Obtainable hot water supply
by utilizing solar thermal collectors installed for room cooling purpose in summer
has been discussed With a reserve tank of volume 2197m3 which contains 10885
liters of water
bull
bull
With 22 collectors a continuous water supply of temperature 345degC at a rate
of 05 kgs could be assured at the peak hours for household use
With remaining 8 collectors water of temperature 47degC could be stored for
house hold use during night time
d
Future WorkBased on the above discussion it is understandable that for the implementation of the
application of solar heat driven cooling system for the climatic condition of Dhaka as
well as Bangladesh the following studies are necessary
bull The optimum tank dimension for maximum performance
bull Heat recovery system with solar coupling
bull Mass recovery system with solar coupling
bull Implement multistage andor multiple bed for improvement of the
performance
131
bull A comparative study of hybrid system such as solar adsorption cooling with
(a) electricity driven vapor compression chiller (b) natural gas driven vapor
compression chiller
bull Study on economic perspective of the system comparing with that of existing
system
132
~
d
References
Akahira A Alam K C A Hamamoto Y Akisawa A Kashiwagi T (2004)Mass recovery four-bed adsorption refrigeration cycle with energy cascadingApplied Thermal Engineering Vol 25 pp 1764-1778
Akahira A Alam K C A Hamamoto Y Akisawa A and Kashiwagi T (2005)Experimental investigation of mass recovery adsorption refrigeration cycleInternational journal of refrigeration Vol 28 pp 565-572
Alam K C A Saha B B Kang Y T Akisawa A Kashiwagi T (2000a) Heatexchanger design effect on the system performance of silica gel - water adsorptionsystem Int J Heat and Mass Transfer Vol 43 (24) pp 4419-4431
Alam K C A Saha B B Akisawa A Kashiwagi T (2000b) A novelparametric analysis of a conventional silica-gel water adsorption chiller JSRAETransaction VoL 17 (3) pp 323-332
Alam K C A Saha B B Akisawa A Kashiwagi T (2001) Optimization of asolar driven adsorption refrigeration system Energy conversion and managementVol 42 (6) pp 741-753
Alam K C A Akahira A Hamamoto Y Akisawa A Kashiwagi T Saha B BKoyama S Ng K C and Chua H T (2003) Multi beds multi-stage adsorptionrefrigeration cycle-reducing driving heat source temperature JSRAE TransactionVol 20 (3) pp 413-420
Alam K C A Saha B B Akisawa A and Kashiwagi T (2004) Influence ofdesign and operating conditions on the system performances of a two-stage adsorptionchiller Chemical Engineering Communications Vol 191 (7) pp 981-997
Alam K C A Rouf R A Khan M A H (2009a) Solar adsorption coolin~based on solar data of Dhaka Part 1- effect of collector size presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Rouf R A Khan M A H (2009b) Solar adsorption coolin~based on solar data of Dhaka Part II- effect of cycle time presented at 16t
Mathematics Conference Dhaka 17-19 December
Alam K C A Saha B B Akisawa A (2013a) Adsorption cooling systemdriven by solar collector A case study for Tokyo solar data AppJied ThermalEngineering Vol 50 (2) pp 1603-1609
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013b)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Inilovati ve Materials for Processes in Energy Systems IMPRES20 13pp397-402Chen J and Schouten A (1998) Optimum performance characteristics of anirreversible absorption refrigeration cyole Energy Conversion and Management Vol39 pp 999-1005Chua H T Ng K c Malek A Kashiwagi T Akisawa A Saha B B (1999)Modeling the performance of two-bed silica gel-water adsQrption chillers Int JRefrig Vol 22 pp 194-204
133
II
d
Clausse M Alam K C A Meunier F (2008) Residential air conditioning andheating by means of enhanced solar collectors coupled to an adsorption systemSolar Energy Vol 82 (10) pp 885-892Critoph R E (1998) Forced convection adsorption cycles Appl Thermal EngVol 18 pp799~807Douss N Meunier F (1988) Effect of operating temperatures on the coefficient ofperformance of active carbon-methanol systems J Heat Recovery Syst CHP 8(5)pp 383-392Electricity sector in Bangladesh Wikipedia the free encyclopedia (viewed on5
April 2014)Farid S (2b09) Performance evaluation of a two-stage adsorption chilleremploying re-heat scheme with different mass ratios Mphil thesis DepartmentMathematics Bangladesh University of Engineering and TechnologyGuilleminot J 1 Meunier F (1981) Etude experimental dune glaciere solaire
utilisant Iecycle zeolithe-13X-eau Rev Gen Therm Fr 239 pp 825-834
Greatest Engineering Achiev~ments-lO Air Conditioning and Refrigeration
httpwwwmaencsuedueischencoursesmae415docsgreatestEngineering
Achievementspdf(viewed on 4 April 2014)
Heat pump and refrigeration cycle Wikipedia the free encyclopedia (viewed on 5ApriI2014a)History of Refrig~ration IIT Kharagpurhttpwwwacademiaedu4892513EEIlT Kharagpur India 2008 40 LESSONS ON REFRIGERATION AND AIR CONDITIONING FROM lIT KHARAGPUR USEFUL TRAINING MATERIAL FOR MECHANICAL ENGINEERING STUDENTS -
(viewedon 6 March 2014)Images of absorption refrigeration cycle httpwwwustudyinincde3197 (viewed on5 April 2014)Jakob D (2013) Sorption heat pumps for solar cooling applications ProceedingsofInnovative Materials for Processes ih Energy Systems IMPRES2013 pp 378-382Kashiwagi T Akisawa A yoshida S Alam K C A Hamamoto Y (2002) Heatdriven sorption refrigerating and air conditioning cycle in Japan Proceedings ofInternational sorption heat pump conference September 24-27 Shanghai Cqina pp
J 50-62
Khan M Z 1 Alam K C A Saha B B Akisawa A Kashiwagi T (2007)Study on a re-heat two-stage adsorption chiller - The influence of thermalcapacitance ratio overall thermal conductance ratio and adsorbent maSs on systemperformance Applied Thermal Engineering Vol 27 pp 1677-1685Li M and Wang R Z (2002) A study of the effects of collector and environmentparameters on the performance of a solar powered solid adsorp~ion refrigeratorRenewable Energy Vol 27 pp 369-382
134
J
Meunier F (1986) Theoretical performance of solid adsorbent cascading cyclesusin~ zeolite-water and active carbon- methanol pairs four c~se studies Heatrecovery CHP system Vol 6 (6) pp 491-498Miyazaki T Akisawa A Saha B B EI-Sharkawy L L Chakraborty A (2009)A new cycle time allocation for enhancing the performance of two-bed adsorptionchillers International Journal of Refrigeration Vol 32 pp~846-853Pons M Guilleminot 1 J (1986) Design of an experimental solar powered solidadsorption ice maker Journal of Solar Energy Engineering Vol 108 pp 332-337
Pons M Poyelle F (1999) Adsorptive machines with advanced cycles for heatpumping or cooling applications International Journal of Refrigeration Vol 22(1)pp27-37Principle of adsorption cycles for refrigeration or heat pumpinghttpwwwgooglecombdimagesq=principle+of+Adsorption+cycles+for+refrigeration+or+heaHpumping (viewed on 5 ApriI2014f)Rothmeyer M Maier-Luxhuber P Alefeld G (1983) Design and performance ofzeolite-water heat pumps Proceedings of IIR-XVIth International congress ofRefrigeration Paris pp 701-706Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering RE-14Rouf R A Alam K C A Khan M AH (2013) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp607-612Sakoda A Suzuki M (1986) Simultaneous transport of heat and adsorbate inclosed type adsorPtion cooling system utilizing solar heat J of Solar EnergyEngineering Vol 108 pp 239-245Saha B B Boelman E c Kashiwagi T (1995a) Computer simulation of asilica gel-water adsorption refrigeration cycle - the influence of operating conditionson cooling output and COP ASHREA Trans Res Vol 101 (2) pp 348-357Saha B B Boelman E C Kashiwagi T (1995b) Computational analysis of anadvanced adsorption refrigeration cycle Energy Vol 20 (10) pp 983-994Saha B B Alam KC A Akisawa A Kashiwagi T Ng K C Chua H T(2000) Two stage non-regenerative silica gel-water adsorption refrigeration cycleProceedings of ASME Advanced Energy System Division Orland pp 65~78Shelton S V Wepfer 1 W Miles D J (1990) Ramp wave analysis of thesolidvapor heat pump ASME Journal of Energy Resources Technology Vol 112pp 69-78 _Sokolov M Harshgal D (1993) Optimal coupling and feasibility of a solarpowered year-round ejector air conditioner Solar Energy Vol 50 pp 507-512
State of Colorado estimate typical need of waterlegmtgovconlentcommitteesInterim2007 _2008water-policystaffmemos typicalneedpdf (viewed on 14May 2014)Tchernev D I Emerson D T (1988) High -efficiency regenerative zeolite heatpump ASHRAE Trans Vol 94 (2) (2) pp 2024-2032
135
J
Vargas J V c Sokolov M and Bejan A (1996) Thermodynamic optimization ofsolar-driven refrigerators J of Solar Energy Engineering Vol 118 pp 130-136
Wang R Z (2001) Performance improvement of adsorption cooling by heat(indmass recovery operation International Journal of Refrigeration Vol 24 pp 602-611
Yong L Sumathy K (2004) Modeling and simulation of a solar powered two bedadsorption air conditioping system Energy Conversion and Management Vol 45pp2761-2775
Zhang G WangD C Han Y P Sun W (2011) Simulation of operatingcharacteristics of the silica gel-water adsorption chiller powered by solar energySolar Energy Vol 85 (7)pp 1469-1478
136
Publications from this Thesis Work
Journal
Alam K C A Rouf R A Saha B B Khan M A H Meunier F Autonomousadsorption cooling - driven by heat storage collected from solar heat Heat TransferEngineering (In Press 2014)
Rouf R A Alam K C A Khan M A H Ashrafee T Anwer M (2013a) Solaradsorption cooling a case study on the climatic condition of Dhaka AcademyPublishers Journal of Computers Vol 8 (5) pp 1101-1108
Rouf R A Alam K C A Khan M A H Saha B B El-Sharkawy I IPerformance analysis of solar adsorption cooling system - effect of position of heatstorage tan~ Applications and Applied Mathematics an International Journal (AAM)(under r~view)Rouf R A Alam K C A Khan M A H Saha B B Meunier F Significance ofheat storage in the performance of solar adsorption cooling system (underpreparation)
Alam K C A Rouf R A SahaB B Khan M A H Meunier F (2013)Adsorption solar cooling - driven by heat storage collected from CPC panelProceedings of Innovative Materials for Processes in Energy Systems IMPRES2013pp397-402Rouf R A Alam K C A Khan M A H Ashrafee T (2011) Prospect of solarcooling based on the climatic condition of Dhaka Proceedings of 9th InternationalConference on Mechanical Engineering 2011 ICME11-RE-014
RoufR A AlamK C A Khan M A H (2013b) Effect of operating conditionson the performance of adsorption solar cooling run by solar collectors ProcediaEngineering Vol 56 pp 607-612~Rouf R A Alam K C A Khan M A H Saha B B Meunier F Alim M AKabir K M A (2014) Advancement of solar adsorption cooling by means of heatstorage Proceedings of 10th International Conference on Mechanical EngineeringICME2013
- i Conference Proceedings (Full length articles)
~
Conference Presentations (Abstract boo~)
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part I- effect of collector size presented at 16th MathematicsConference Dhaka 17-19 December
137
_------- _- _ --_ _ __ _---------------------
IIi
-
Alam K C A Rouf R A Khan M A H (2009) Solar adsorption cooling basedon solar data of Dhaka Part II- effect of cycle time 16th Mathematics ConferenceDhaka 17-19 DecemberRouf R A Alam K C A Khan M A H Ashrafee T and Khan A F M K(2011) Mathematical Analysis of Adsorption Solar Cooling in the perspective ofDhaka Climatic Conditions 17th Mathematics Conference of BangladeshMathematical society Dhaka 22-24 December
138