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SPRING 2013
Date Submitted: May 1, 2013
Team Name: HELATeam Members:
Robert MaduroAdolfo Leyva
Ricardo GonzalezLuis M. Avila
Heat Exchanger Learning ApparatusReport
MECT 4275
Table of Contents1. Abstract...............................................................................................................................................4
2. Executive Summary.............................................................................................................................5
3. Introduction.........................................................................................................................................6
3.1. What is a Heat Exchanger?..........................................................................................................6
3.2. Shell and Tube Heat Exchangers..................................................................................................6
4. Objective.............................................................................................................................................8
5. Research..............................................................................................................................................9
6. Design Problem.................................................................................................................................11
7. System Components..........................................................................................................................14
7.1. Tanks..........................................................................................................................................14
7.2. Bench Selection.........................................................................................................................14
7.3. Pumps........................................................................................................................................15
7.4. LabVIEW.....................................................................................................................................17
7.5. Temperature Sensor..................................................................................................................18
7.6. Heat Source...............................................................................................................................20
8. Design Objective................................................................................................................................22
9. Design Procedure of Heat Exchanger................................................................................................23
10. Design Criteria...............................................................................................................................25
10.1. Tube Layout Configuration.....................................................................................................26
11. Thermal Analysis of the Heat Exchanger........................................................................................30
11.1. Thermal Sample Calculations.................................................................................................32
11.2. Case 1 HTRI Results................................................................................................................34
11.3. Case 2 HTRI Results................................................................................................................35
11.4. Case 3 HTRI Results................................................................................................................36
12. Mechanical Design of the Heat Exchanger.....................................................................................37
12.1. Mechanical Calculations:.......................................................................................................38
12.1.1. Shell Cylinder Calculations.................................................................................................38
12.1.2. Tube sheet Calculations.....................................................................................................40
12.1.3. Flange Calculations............................................................................................................41
13. Gantt Chart:...................................................................................................................................42
14. Cost Estimation:.............................................................................................................................43
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Works Cited...............................................................................................................................................44
Appendix 1: Quote from American Eagle Oilfield......................................................................................45
Appendix 2: Echoscan LLC Quotation........................................................................................................46
Appendix 3: Total Dynamic Head Calculations..........................................................................................47
Appendix 4: HTRI Final Results..................................................................................................................50
Appendix 5: Thermal Calculations to Compare with HTRI Results.............................................................65
Appendix 6: Detail of Tube Sheet Calculations..........................................................................................68
Appendix 7: Flange Calculations................................................................................................................73
Appendix 8: Heat Exchanger Drawings......................................................................................................85
Appendix 9: Total Working Hours for the Project......................................................................................93
Table of Figures
Figure 1 - Shell and Tube Heat Exchanger...................................................................................................5Figure 2: Application of Heat Exchanger Technologies................................................................................9Figure 3: Demand for Mechanical Engineers (4 Years)..............................................................................10Figure 4: Total Dynamic Head....................................................................................................................14Figure 5 - Flow Diagram for heat exchanger design process.....................................................................22Figure 6 - HELA preliminary Case 1............................................................................................................25Figure 7 - HELA preliminary Case 2............................................................................................................26Figure 8 - HELA preliminary Case 3............................................................................................................27Figure 9 - Flow Streams.............................................................................................................................29Figure 10 - Slip On and Weld Neck Flanges................................................................................................35
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1. Abstract
Team HELA is designing and will manufacture a Heat Exchanger Learning Apparatus that will
provide students with a comprehensive study of heat exchangers and the various parameters that affect
its performance. The apparatus will help bridge the gap between theoretical knowledge and hands on
experience of heat exchangers at the University of Houston’s College of Technology. The Heat Exchanger
Learning Apparatus will be designed to be part of the lab curriculum for the Mechanical Engineering
Technology Degree Program. Currently Team HELA is in the process of designing the main component of
the apparatus, the heat exchanger, and selecting the other components that will make up the
apparatus. Once the design is finalized the allocation of funds will proceed by finding sponsors that are
willing to contribute to the advancement of knowledge of the students.
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2. Executive Summary
Team HELA will design a Heat Exchanger Learning Apparatus for future use in the lab of the
College of Technology. Students will be able to complete a full lab with hands on experience that will be
incorporated into their course curriculum. Currently, there is no lab equipment that students can use to
visually learn the fundamentals of a heat exchanger system and its internal components. Most
educational institutions that offer engineering courses in thermodynamics and who specialize in heat
exchangers are only capable of teaching there students the theoretical knowledge.
Heat exchangers are devices that provide the flow of thermal energy between two or more
fluids at different temperatures. Team HELA has decided to design and manufacture a Shell and Tube
heat exchanger. In order to get a good idea of what is available on the market; Team HELA has
researched products offered by other companies similar to the one the team is proposing.
The project will consist of a Heat Exchanger Learning Apparatus that will have interchangeable
components and parameters that can be used by students in the Mechanical Engineering Technology
department at University of Houston. The apparatus can be used in classes such as Fluids Mechanics or
Elements of Plant Design. This product will allow students to obtain first-hand experience handling
important equipment such as a shell and tube heat exchanger and its components. The main
components that were needed for the preliminary design were the pumps, tanks, electrical components,
LabVIEW, and sensors.
The very first step in the design process was to identify the problem. Once the problem was
recognized and all the parameters were set, the preliminary selection of the configuration was selected.
The thermal analysis and mechanical design followed and was completed by the team.
For Team HELA the main goal was to bridge the gap between theoretical knowledge and hands
on experience with heat exchangers at the University of Houston’s College of Technology.
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3. Introduction
3.1. What is a Heat Exchanger?
Heat exchangers are devices that provide the flow of thermal energy between two or more
fluids at different temperatures. These fluids must come into thermal contact for this principle to work.
Heat exchangers are used in a wide variety of applications in various industries. The reason for their
abundance is that heat transfer is vital for many systems to work optimally. Some tasks that heat
exchangers can accomplish include: heating a cooler fluid by means of a hotter fluid, reducing the
temperature of a hot fluid by means of a cooler fluid, or boiling a liquid by means of a hotter fluid. The
transfer of thermal energy always flows from the higher temperature system to the lower temperature
system.
Although heat exchangers can come in any shape and size imaginable, the construction of most
heat exchangers falls into one of two categories: shell and tube or plate. Plate heat exchangers utilize
plates to separate hot and cold fluids which alternate between each plate. Baffles are used to direct the
flow of the fluids between the plates. Because of the inability to reliably seal the large gaskets between
each of the plates, plate type heat exchangers are not widely used. Out of the two, the most common
type of heat exchanger construction is the shell and tube.
3.2. Shell and Tube Heat Exchangers
For Shell and Tube heat exchangers, multiple tubes are installed in a container known as a shell.
A tube sheet separates the tube side fluid from the shell side fluid at the ends of the tubes, which are
either press-fitted or welded into the tube sheet. Support plates in the shell act as baffles to direct the
flow of fluid within the shell back and forth across the tubes. Shell and tube heat exchangers come in
different forms and are classified based on the stationary head, shell, and rear head. The main
components of a shell and tube heat exchanger can be seen in Figure 1.
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Figure 1 - Shell and Tube Heat Exchanger
The tube sheet is an important component of the heat exchanger because it carries the loads
and stresses applied from the tubes. During the mechanical stage of the design, it is important to select
the appropriate thickness of the tube sheet. The baffles are used to create a dynamic flow pattern
through the shell and force the fluid to spend more time in contact with the inner tubes. The bundle is
the inner assembly of internal components and is composed of tubes, baffles, tie rods, spacers, sliding
bars, and tube sheet. The tie rods thread through the baffles and are bolted to the tube sheets; spacers
(large diameter tubes) are placed in between the baffles to properly position them in the shell. Sliding
bars are sometimes placed in the bottom portion of the tube sheets to allow the bundle to slide when
taking the exchanger apart or putting it back together.
One of the biggest advantages of using a shell and tube heat exchanger is that they’re the
simplest to manufacture and the most cost effective.
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4. Objective
Team HELA will design a Heat Exchanger Learning Apparatus for future use in the lab of the
College of Technology. Currently, there is no lab equipment that students can use to visually learn the
fundamentals of a heat exchanger system and its internal components. Students will be able to
complete a full lab with hands on experience that will be incorporated into their course curriculum. The
system will have a control panel that will be able to change various parameters and acquire necessary
experimental data. Since heat exchangers are very common in the petroleum industry, the control panel
will be designed with current industry technology in mind to give students a first-hand experience of
what they may encounter in the field. The system will consist of a one pass shell and tube heat
exchanger with different interchangeable U-tube bundles, which will show the varying performance of
each as they are utilized with different numbers of tubes and baffles. The user will be able to control the
flow rates of the two pumps that will be used via the control panel. Electronic sensors will be fitted to
measure the flow rates of the hot and cold water streams. In addition, the control panel will be able to
regulate the temperature of the heat source. The inlet and outlet temperatures of the hot and cold fluid
will be registered by electronic sensors as well. Because there are so many parameters that the students
can manipulate via the control panel, they will have the opportunity to fully understand the heat
exchanger system from head to toe. The lab that will coincide with the system and doing so will
challenge the students on their knowledge of fluid dynamics, thermodynamics, and elements of plant
design.
Students will have the ability to obtain quantitative results from the heat exchanger learning
apparatus. Some examples of the quantitative results that the students will have to calculate are: heat
transfer and heat loss for an energy balance study, log mean temperature difference, heat transfer
coefficients, and pressure drop to compare with the experimental result. Furthermore, students will also
be able to study the effect of flow rate on the heat transfer rate.
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5. Research
In order to get a good idea of what is available on the market; Team HELA has researched
products offered by other companies similar to the one the team is proposing. SOLTEQ offers various
pieces of equipment for engineering and research. They offer a bench type heat exchanger training
apparatus that was designed to allow students to get familiarized with different types of heat
exchangers. The control panel offered with the system is very primitive and can only control the
temperature of the heat source. The apparatus offered by SOLTEQ only gives students the opportunity
to see the heat exchangers operate, but fails to give the students an understanding of the inner
workings. However, HELA team’s goal is to design an apparatus that students will be able to take apart
and interchange the bundles to visually see the internal components of a shell and tube heat exchanger.
SOLTEQ has been contacted via email inquiring for a quote; since SOLTEQ is overseas, they redirected us
to their sister company in the states, American Eagle Oilfield Services and Supplies. The quote provided
by American Eagle Oilfield Services was $22,750 for the apparatus. The information that was gathered
during the research enables the team to optimize both the design and economics of the project. The
official proposal received from SOLTEQ is attached in the Appendix 1: Quote from American Eagle
Oilfield of this report.
Another US company that was contacted by team HELA was Echoscan LLC, an educational tools
company that has been in the industry since 1980. On the first contact Echoscan sent a catalog with all
the educational tools that they offer. The one that is similar to the idea proposed by the HELA team is
the TD 078 Multi Heat Exchanger. This apparatus consist of three different heat exchangers similar to
the one introduced by SOLTEQ with similar weaknesses. With this apparatus, students don’t have the
ability to understand and visualize the internal components of the heat exchangers. Additionally, the
control system also does not reach the expectations of team HELA because it does not use the latest
technology that is currently being used in the industry. The quote received from the sales manager,
David Ostem, was USD $24,995.00. One of the goals of team HELA is to reduce the price and make it
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attainable for the university. The quote acknowledged from Echoscan LLC is attached at the end of this
report and is labeled as Appendix 2: Echoscan LLC Quotation.
Researching different pieces of equipment has led to ideas on how Team HELA can improve its
design, set goals to develop a better training apparatus, and cut down on manufacturing cost
significantly.
The HELA team also contacted the lab director, Mr. Gordon, on any guidelines that needed to be
included in the design. He proposed to take into consideration the door’s width to avoid project
disassembly and reassembly. In addition, portability and compatibility with the limited school’s 110V
power supply need to be considered. Doctor El Nahas, faculty of the College of Technology and in charge
of the Plant Design class, has also been presented with Team HELA’s heat exchanger proposal. He
stated that the idea could be useful, and the creation of a new experiment would provide a positive
effect to the course.
More products similar to the one being proposed by Team HELA will be researched to get a well-
rounded idea of what can be achieved and improved upon. A group member is currently working for a
company that designs and manufactures heat exchangers. A visit to the company has been scheduled so
the team may observe first-hand the various processes related to building a heat exchanger. His
supervisor will be asked to be an industry mentor and an aid to our team.
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6. Design Problem
Heat exchangers are fundamental in the operation of chemical and mechanical systems. They
serve the function of rejecting or gaining heat. Heat exchangers are found in common applications such
as radiators, internal combustion engines, boilers, condensers, and HVAC systems. They play a crucial
role in every industry ranging from transportation, household, energy, national defense, electronics, and
farming sectors (Figure 1).
Figure 2: Application of Heat Exchanger Technologies
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Nationally, the demand for trained engineers has remained above that of other professions. The
demand for mechanical engineers has increased by 74% since of March of 2011, with over 15,400 new
job postings. Most of the metropolitan areas have seen an increase in the growth since the recession, a
key factor affecting the job market. The U.S. Department of Labor expects Americans to need as many as
87,000 new mechanical engineers in the next four years.
Figure 3: Demand for Mechanical Engineers (4 Years)
Most educational institutions that offer engineering courses in thermodynamics and who
specialize in heat exchangers are only capable of teaching their students the theoretical knowledge.
These institutions do not have the resources for providing their students with equipment or apparatuses
that are designed to teach the inner workings of such fundamental components as heat exchangers.
Since students have very limited access to these educational apparatuses they are not going to be able
to reach their full potential in their respective field.
The goal to be achieved with this product is to develop an apparatus that educational
institutions are going to embrace as a fundamental tool in teaching the complexity of a heat exchanger.
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The design and manufacturability of the apparatus needs to be capable of bridging the gap between the
theoretical and practical. Various milestones need to be addressed to make a functional and appealing
product in the educational market. The fundamental objective of the apparatus is to be an educational
tool that is going to enable students to obtain an in-depth knowledge of the different components and
operations of heat exchangers. The second goal of the project is to develop a product that is economical
for the consumer. The product has to be relatively economical to ensure that educational institutions
include it as a teaching tool in their classrooms. The final objective is for it to be user friendly and
require low amounts of maintenance during the operation cycle. Achieving these three goals will enable
this product to fill the void that institutions have faced over the past century.
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7. System Components
This section of the report introduces all the components needed for the heat exchanger to
operate. The main components that were needed for the preliminary design were the pumps, tanks,
electrical components, LabVIEW, and sensors.
7.1. Tanks
There were several criteria that were taken into account in the selection process for the best
suitable candidate. The tank needed to be able to contain the water that was going to be circulating
throughout the apparatus. The key aspects that had the greatest impact on the selection process were
the 15 gallon capacity, dimensions, material, and price. Most of the tanks that were on the market were
designed as fuel tanks or fuel cells. Also, most were able to hold 15 gallons and were constructed out of
non-corrosive materials such as aluminum or stainless steel. The prices ranged from $180 to $275;
which was reasonable since the cost of the raw material they were composed of was expensive. The
only disadvantage that was found was that they were designed for automobiles and none of the fittings
would have fit our application. The tanks would have needed modifications to fit our application by
drilling and welding new fittings. After a long deliberation the decision was made to manufacture our
own tanks. This would be most beneficial and feasible, since they are going to be designed around our
specific application.
7.2. Bench Selection
The bench is where all the components of the heat exchanger will be attached. The selection
process for a bench had several key components which included: the load it could support, mobility,
material, and cost. Most of the benches that were in the market that fit our application were used in the
medical or restaurant industry. Since they were used in industries where hygiene is of crucial
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importance, they were made out of stainless steel. This makes it easy to clean and corrosion resistant.
All four of the proposed candidates came with casters, which enabled them to be mobile. The dimension
of the bench was also a key factor because it needed to fit within a 36 in. doorway, while still being able
to hold all of the equipment. From our calculations it was determined that the weight of all the
components would be around 600 lbs. After deliberating, the decision was made to incorporate the AB
Restaurant Equipment WTSG-30X48C into the project. The manufacturer was contacted and they
confirmed that the bench could support up to 800 lbs. Also that each caster was rated at 250 lbs.; these
ratings met the load criteria set forth by the team. Another benefit in choosing this bench was that it
was one of the most economical. The whole bench was composed of stainless steel. This factor will
increase the life of the apparatus and its aesthetics.
7.3. Pumps
There are four important factors that were taken into account for pump selection:
feet of head
max fluid temperature to transport
power requirements
In order to start the pump selection the Total Dynamic Head (TDH) was calculated. Figure 4 shows
the proposed configuration used to calculate TDH for the apparatus.
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Figure 4: Total Dynamic Head
Calculations in Appendix 3: Total Dynamic Head Calculations show the calculated TDH for the cold fluid
is 3.44 ft. and hot is 4.223 ft. A TDH of 5 ft was selected for the pump in order to accommodate for both
TDHs of the fluids. This was figured by using a TDH approx. 20% greater than the needed for the hot
fluid. The hot fluid’s temperature was also an important factor in the pump decision. In order to
perform the desired experiment for our apparatus the water temperature needed to reach a maximum
of 180°F. This meant that the pump had to be able to withstand the hot liquid. Another factor was that
the pump had to work on 110 V. The pump and all the other components were restricted to working off
of 110 V because that was the power supply available in the school labs. From these criteria, and
keeping cost in mind, a pump was selected. The max flow rate of the selected pump equaled 13 GPM.
Once the total dynamic head of the system was calculated, it was possible to convert the value
from feet to psi by using the following formula:
P=0.434∗h∗SG
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Where “P” is the pressure in psi, “h” is the total dynamic head and “SG” is the specific gravity of
the fluid. In this case the specific gravity of water is 1.
P=0.434∗3.44∗1=1.49 psi
7.4. LabVIEW
LabVIEW is a development environment that engineers and scientists use for graphical
programming and hardware integration to design and deploy measurement and control systems.
LabVIEW is capable of: taking physical measurements, performing analysis and signal processing,
instrument control, displaying data on the user interface, logging data, and generating reports. It is
based on the graphical programming language G and is a higher-level language then C. When writing a
LabVIEW program the operator can focus on the task at hand, but in text-based programming the
operator is instead concerned about the code and syntax errors. A LabVIEW program is known as a VI,
which stands for virtual instrument. A VI consists of two major components. The first is a block diagram
where one can develop code. The operator can wire together graphical blocks to create a program. Each
block has inputs and outputs. When a block executes it produces data that flows down the wire to the
next block. The movement of the data determines the order of execution of the program. The second is
the user interface where one can customize objects like graphs, knobs, and buttons. Since LabVIEW is
similar to making a flow chart, it takes a fraction of the time to write a program compared to a text
based language. LabVIEW has been helping engineers since 1986. It is used in a wide variety of
industries such as: testing consumer electronics, controlling manufacturing machines autonomously,
and monitoring conditions in petroleum refineries.
LabVIEW is the software that one can install on their computer, but to begin acquiring data one
also needs hardware to integrate with the software. Team HELA began researching the different types of
hardware available. The main goal was to find a piece of hardware that met the following design criteria
for the project: monitor the flow rate of both hot and cool water streams, monitor temperature in four
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places on the heat exchanger, control the heat source, and be economically feasible. National
Instruments offers a wide variety of data acquisition (DAQ) hardware. With the project design criteria in
mind, Team HELA focused on a USB portable DAQ and a PC slot desktop DAQ. To be more specific, the
USB-6008 was compared against the PCIe-6320. To accommodate for the temperature sensors and two
flow rate sensors, the hardware needed to have a minimum of six analog inputs. The hardware also
needed a minimum of one analog output to control the heat source.
Table 1: Comparison of Hardware
Portable DAQUSB-6008
Desktop DAQPCIe-6320
• Easy USB connection• 8 inputs / 2 outputs• Sampling rate: 10kS/s• Input resolution: 12 bits• $169
• PC slot• 16 inputs / 0 outputs• Sampling rate: 250kS/s• Input resolution: 16 bits• $977
Whichever hardware included these primary needs, and was the least costly, was the one the team
would select. According to Table 1, USB-6008 meets all of the criteria.
7.5. Temperature Sensor
The project requires that a temperature measurement be taken at the four nozzles of the heat
exchanger. The temperature sensor that would be selected had to meet the following primary criteria:
take measurements of the water stream between room temperature and 200°F, take accurate
measurements, and be affordable. Team HELA did substantial research of various types of sensors that
included: thermocouple, RTD, thermistor, and fiber optic. It was narrowed down to a thermocouple and
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a RTD sensor. Thermocouples are the most popular temperature sensors, are effective in applications
that require a large temperature range, and are very inexpensive. A thermocouple is a junction of two
dissimilar metals that produce a temperature dependent voltage. For this reason, they are very rugged
and reliable. The LabVIEW hardware will measure the voltage the thermocouple produces and convert it
into a digital reading. RTD’s exploit the fact that the resistance of most metals increases with increasing
temperature and are simple in design. RTD’s are more accurate and stable then thermocouples, but are
also a little more expensive. In contrast to thermocouples, RTDs have a smaller temperature range,
require current excitation, and have slower response times. RTDs are primarily used for accurate
temperature measurements in applications that are not time critical. Table 2 shows a comparison of two
temperature sensors that fell into the projects criteria. The thermocouple was chosen because it is self-
powered, falls within the needed temperature range, and is least expensive.
Table 2: Comparison of Temperature Sensors
ThermocoupleTHMK-A01L10-01
RTDRTD1-D08L10-01
• Self-powered• Accuracy: ±1°F• 32-900°F• Response time: 2.9s• $26
• Stable readings• Accuracy:±0.27°F• -58-572°F• Response time: 7s• $43.50
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7.6. Heat Source
The project requires a heat source to increase the temperature of one of the water streams to
180°F. Team HELA researched different types of heat sources such as: an immersion heater, water
heater, and fish tank heater. An immersion heater would easily fit into one of the storage tanks, be very
inexpensive, and could be controlled by LabVIEW. A water heater would remove the need of a second
storage tank and control the temperature of the water with a built in controller, but is much more
expensive than an immersion heater. A fish tank heater is very similar to an immersion heater but does
not supply sufficient power to heat the water in a timely manner. The team is headed towards buying an
immersion heat source, but no decisions have been finalized. Another restriction imposed on our project
is the laboratory’s electrical system. The heat source would have to be able to run off of a normal 120V
electrical socket. Also, the heat source current draw needed to be below about 15A because that is the
normal current rating on an electrical outlet. The maximum wattage available from the electrical needed
to be calculated, and is shown below. Watts could be calculated by finding the product of the current,
power factor, and voltage. Once the maximum wattage was calculated, the minimum time required to
heat up 15 gallons of water was obtained. The equation needed to calculate the time required to heat
up the volume of water can be seen below.
P=I∗PF∗V
P=15 A∗1∗120V =1,800watts
P=(weight [lbs ]∗specific heat [ btu
lb· ° F]∗temperature change [° F ] )
(3.412 [ btuwatt·hr ]∗heat up time [hr ])
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1,800watts=[(15 gal∗8.3 lbs
gal )∗(1 btulb·° F )∗(180 ° F−75 ° F )]
(3.412 btuwatt·hr )∗(xhr )
time=2.13 hr
The results above state that the heat source had to run below the maximum 1,800 watts available to not
blow any circuit breakers. The 1,800 watts was plugged into the second equation and resulted in a time
of at least 2.13 hours to heat up the water. In the future when this experiment is performed, the TA
would have to heat the water a few hours in advance of the experiment.
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8. Design Objective
The project will consist of a Heat Exchanger Learning Apparatus that will have interchangeable
components and parameters that can be used by students in the Mechanical Engineering Technology
department at University of Houston. The apparatus can be used in classes such as Fluids Mechanics or
Elements of Plant Design. This product will allow students to obtain first-hand experience handling
important equipment such as a shell and tube heat exchanger and its components. Students will also be
able to collect experimental data for calculations of the heat transfer coefficient, log mean temperature
difference, number of tubes in the Head Exchanger, and some others variables that could be applied.
The apparatus will be supplied with specifications on how to setup the equipment in the lab, a
procedure on how to approach the lab and an example of typical experimental results that students may
obtain during the laboratory experience. This project consists of an innovating aspect. The
interchangeable bundles that will be incorporated into the design are not included in any of the
products currently offered. This aspect is going to enable students to get familiarized with the internal
components of shell and tube heat exchangers.
Some of the standards, regulations, and analysis that will be applied in the design process of the
Heat Exchanger Learning Apparatus are listed below.
The TEMA (Tubular Exchanger Manufacturers Association) standards
ASME Code Section VIII Division I
Thermal Calculations with the Aid of HTRI software
Pressure drop through the exchanger will be calculated and manually measured with
pressure gauges.
Incoming and outgoing temperature of the two fluids will be measured and calculated.
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Log mean temperature difference method will be used to manually calculate the
effectiveness of the exchanger.
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9. Design Procedure of Heat Exchanger
The design procedure of shell and tube heat exchangers has been deeply discussed throughout
the years. The procedure to successfully design a heat exchanger divides the process into the thermal
design and the mechanical design.
The very first step in the design process was to identify the problem. Once the problem was
recognized and all the parameters were set, the preliminary selection of the configuration was selected.
For Team HELA the main goal was to bridge the gap between theoretical knowledge and hands on
experience with heat exchangers at the University of Houston’s College of Technology. Based on
research and analysis, the TEMA type that best fit Team HELA’s application was the B E U configuration.
The heat exchanger would also have interchangeable bundles. The next step that was taken was to start
working on the thermal design of the heat exchanger. The team is currently in this step of the process
and is utilizing the HTRI software that aids engineers to run thermal calculations in heat exchangers.
Once the thermal design calculations were ready, and a specification sheet with the data was available,
the results were analyzed to see if the thermal performance or heat transfers meet the requirements set
by the team. Also, the pressure drop in the tube and shell sides needed to be in the applicable range
based on the pump that was selected. Once that step was completed, the group ran mechanical
calculations and made decisions based on the results to finalize the design. Figure 5 shows the flow
diagram that describes the process followed to design the heat exchanger.
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Figure 5 - Flow Diagram for heat exchanger design process
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10. Design Criteria
Based on the research and the calculations performed, the overall constraints for the HELA have
been gathered and established.
The Heat Exchanger designation according to TEMA standards will be a B-E-U exchanger that
consists of a removable channel and cover on the stationary head, a one-pass shell, and a U-tube bundle
in the rear side.
Shell and Tube Heat Exchanger Components:
O.D. of the Shell = 10 inch (standard pipe) Length = 35 inch Material = stainless steel
Bench:
Area = 5 ft2 (approx.) Height = 4 ft. (approx.)
Tanks:
Size = two 15 Gallons tanks
Other components:
4 temperature sensors 1 temperature controller 2 flow rate sensors LabVIEW software LabVIEW hardware Immersion heater 2 Centrifugal pumps
This is the basic design criteria that have been taken into account to design and run thermal and
mechanical calculations for the Heat Exchanger Learning Apparatus.
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10.1. Tube Layout Configuration
Team HELA selected the dimensions of the tubes for the three different bundle configurations
using ¾” standard tubes and ½” tubes. The selected configurations were: Case 1 having a configuration
with the maximum number of ¾” tubes possible for the shell size, Case 2 having almost the same
number of tubes but with a ½” diameter, and Case 3 having only seven ¾” inch tubes. These different
configurations were selected in order to give students a clear understanding on how the surface area
affects the heat transfer more than the number of tubes. All three cases are illustrated in Figures 6
through 8.
All three configurations used were U-bundles, and the number of tubes is equal to the number
of holes in the tube sheet. The number of tubes specified and calculated in the tube layout will be twice
the number of tubes. Another component that is seen in all three configurations is the use of two tie
rods. Tie rods are used to align the baffles properly within the bundle. Spacers are large diameter tubes
that are threaded over the tie rods and between the baffles to correct their spacing. The tie rods are
screwed into the tube sheet and run up to the support plate. The support plate is the last baffle located
at the quadrant of the bending tubes.
Figure 6 through 8 also contain some preliminary data including: shell diameter, number of
tubes, tube diameter, tube pitch, and tube layout angle.
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Figure 6 - HELA preliminary Case 1
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Figure 7 - HELA preliminary Case 2
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Figure 8 - HELA preliminary Case 3
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11. Thermal Analysis of the Heat Exchanger
One of the most common advantages that engineers have in industry is the use of software and
programs that allow them to input data, specifications of a project, and other input needed to be taken
into account for a particular project. The program performs the analysis based on standards, rules,
regulations, and codes to properly design an instrument or a piece of equipment based on standards or
regulations set by the client. For the thermal design analysis, Team HELA used software utilized by many
companies in the heat exchanger manufacturing industry. The software used, with Ohmstede Ltd license
and permission, for this project was HTRI.
HTRI (Heat Transfer Research Inc.) is a company that has been in the heat transfer industry for
more than 50 years. Their experience in heat transfer has helped them develop HTRI Xchanger Suite 6,
innovating software. This software helps engineers with the thermal design process of heat exchangers.
(HTRI)
HTRI is made up of different modules that can be used for different kinds of heat transfer
equipment. The module used by Team HELA is for the design of Shell and Tube Heat Exchangers. At the
same time, each module is divided into different modes. The Shell and Tube Heat Exchanger module is
divided into Rating, Simulation, and Design. Since the group already set constraints for the design, the
Simulation mode was selected. This mode allows the user to input various data, including the size of the
heat exchanger, to calculate the performance. It also outputs outlet temperatures, pressure drop,
Reynolds number in the heat exchanger, and other important parameters.
Using the simulation mode of HTRI to double check the calculations was very valuable for the
team. It also allowed the user to manipulate the parameters and try out new configurations. The group
was forced to understand the theory of the heat transfer formulas and physics being calculated by the
software. While working on the three different bundles Team HELA ran into some difficulties. For
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example, in one of the cases the software was warning that the B stream percentage was to low and
needed revision in order for the design to work. It was important to understand the different flow
fractions to optimize the heat transfer throughout the shell.
Figure 9 - Flow Streams
The B flow fraction penetrates the tubes the most out of all the fractions and transfers the most
heat between fluids. In order to optimize the design, flow stream fraction B had to have a significant
percentage of fluid. Manipulating the number of baffles in the shell, changing the tolerance between
the baffle and the inside diameter of the shell, and the outer tube limit dimension all affected the B flow
fraction dramatically. In the seven tube configuration a lot of the flow was falling into the flow stream
fraction C because the U-tubes don’t occupy much volume in the shell and therefore less resistance on
the shell fluid. A good solution for the problem was to add sealing strips that obligate the fluid to
penetrate the tube area and increase the B fraction percentage.
Another important factor that was taken into account while inputting the data into the HTRI
software product, was the fouling factor. “The fouling is a general term that includes any kind of deposit
of extraneous material that appears upon the heat transfer surface during the lifetime of the heat
exchanger. Whatever the cause or exact nature of the deposit, additional resistances to heat transfer is
introduced and the operational capability of the heat exchanges is correspondingly reduced.” (Thome)
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The fouling number used for each configuration was found in the TEMA standard, 0.002 ft2-hr-F/Btu.
This same number applies to the shell and the tube side as well.
11.1. Thermal Sample Calculations
In order to verify the values given by HTRI, Team HELA verified some of the parameters
calculated by the software. These parameters included:
Heat transfer rate
Exit water temperature of cold water
Log mean temperature difference (with correction factor)
Heat transfer area of bundle
Overall heat transfer coefficient
These values were calculated using parameters set as part of the design process, and where the same as
those entered into the HTRI software. Below are the equations used to calculate the values:
Equation 1: Heat transfer rate
Equation 2: Log mean temperature difference
Equation 3: Heat transfer area
Equation 4: Overall heat transfer coefficient
Using these equations we were able to verify the values obtained from HTRI for the heat exchanger
design with 52 bundle tubes. The calculations done can be found in Appendix 5: Thermal Calculations to
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Compare with HTRI Results. The table below shows the comparison of values calculated to values found
with HTRI software.
Calculated HTRI Software
% difference
Heat transfer rate (Btu/hr)
89268.322 88000 1.44
Exit water temperature of cold water (°F)
93.065 92.86 0.22
LTMD with factor (°F)
81.563 81.8 0.29
Heat transfer area of bundle (ft2)
17.112 17.111 0.01
Overall heat transfer coefficient (Btu/ft2*hr*°F)
63.958 63.36 0.94
Table 3: Comparison of values Calculated vs HTRI (52 tubes)
Comparing the values calculated with the ones produced from HTRI software gave percent differences of
less than 2%. In some values the percent difference was less than .3%. Performing this comparison gave
a better understanding of how the HTRI software worked.
HTRI outputs three pages of detailed final results, a graph for temperature differences, and also
the graph for Reynolds number in the shell and tube side that can be found in Appendix 4: HTRI Final
Results for all three cases. The TEMA specification sheet for each case is found in the following images
for a summary of the thermal results.
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11.2. Case 1 HTRI Results
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11.3. Case 2 HTRI Results
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11.4. Case 3 HTRI Results
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12. Mechanical Design of the Heat Exchanger
The type of body flanges on the inlet and outlet nozzles of the heat exchanger needed to be
chosen for the mechanical design. Based on economic constraints, Team HELA decided to use standard
ANSI flanges instead of designing custom-made forged flanges. The two main ANSI flanges considered
for the Heat Exchanger Learning Apparatus design were the weld neck and the slip-on type.
Figure 10 - Slip On and Weld Neck Flanges
Weld neck flange were designed to resist high temperatures and pressures. To be able to do so,
more material has to be incorporated in to the flange, especially in the hub. Weld neck flanges are
complex to manufacture making them one of the most expensive ANSI flanges. One advantage of this
type of flange configuration is that it only requires one weld to have it properly attached to the pipe. A
“V" bevel weld is required for this type of flange and in some cases requires two passes to completely fill
in the bevel area. On the other hand, the slip-on type flange requires two fillet welds to properly attach
the pipe and flange. Fillet welds are much easier to perform then “V” bevel welds. Some other benefits
of the slip-on flange were: the economical aspect, the shortness in height, requires less accuracy in
preparing the pipe it will be attached to, and good alignment since it slips over pipe. In addition to
38 | P a g e
selecting the type of flanges for the heat exchanger, other components had to be chosen to start
running some mechanical calculations. The type of pipes for the shell and channel, the dimensions and
gauge of tubes, and the material of each were selected to initialize the calculations.
12.1. Mechanical Calculations:
Team HELA was assisted by two different software products to run mechanical calculations. The
first was RCS, which is used by one of our sponsors (Ohmstede LTD.) to run calculations and
simultaneously generate the solid model in SolidWorks. The other software was PVElite, this software
provided a detailed package of calculations using the most recent version of the ASME Code Section VIII
Division I. These regulations are used in industry for the design of pressure vessels. The calculations
attached in Appendix 6: Detail of Tube Sheet Calculations and Appendix 7: Flange Calculations provide
detailed information and outputs regarding the analysis of the heat exchanger. Team HELA decided to
manually calculate some of the most important mechanical aspects in the design in order to guarantee
that the results obtained by the software are accurate. The team also used it as a learning experience to
familiarize themselves with the use of the ASME code.
12.1.1. Shell Cylinder Calculations
Team HELA had to select a pipe that was compliant with ASME code for the use of the shell. The
formula for minimum thickness of shells under internal pressure given in section UG-27 was used to
calculate the minimum thickness required. The specifications of the pipe used for the design of the shell
have the following specifications:
Inside Diameter = 10 in
Element Thickness = 0.365 in
Design Pressure 10 psig (Calculated in the pump section of this report)
Material SA-312 TP304L
Allowable Stress, Operating = 14225 psi
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Material Density = 0.29 lbm/in3
The formula given in the ASME Code in section UG-27 to calculate minimum thickness for this case is:
t= PRSE−0.6 P
Where:
t=minimunrequired thicknessof shell
P = internal design pressure
R = inside radius of the shell course under consideration
S = maximum allowable stress value
E = Joint efficiency for approximate joint in cylindrical shells (In this case this value is 1 since the shell is a
seamless pipe)
t=(10∗5.135)
(14225∗1)−0.6(10)=0.00361∈¿
Comparing the results obtained of the thickness of the pipe with the required minimum
thickness shows that it was compliant with ASME code. Since the pipe was sufficiently thick, when the
group performed the calculations for the shell it passed the code regulations. The same formula was
used to calculate the minimum required thickness for the nozzles of the heat exchanger.
Another calculation that Team HELA decided to perform manually to compare with the results
obtained by the RCS software was the body flange design calculations. The section of the ASME Code
used to perform analysis of the body bolted flange connections with ring type gaskets was in the
Appendix 2 of the ASME code.
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12.1.2. Tube sheet Calculations
The results for the tube sheet calculations following the ASME Code UHX-12 are given step by
step in the format obtained from RCS. The calculations are run in six different cases that are summarized
at the end of the report and give the required thickness of the tube sheet and the actual thickness. The
minimum thickness required by the code for the tube sheet was selected.
U-Tube Tubesheet results per ASME UHX-12 2010, 2011a
Results for 6 Load Cases:
--Reqd. Thk. + CA -------- Tubesheet Stresses Case Pass/
Case# Tbsht Extnsn Bend Allwd Shear Allwd Type Fail
----------------------------------------------------------------------------
1uc 1.250 ... 665 28450 47 11380 Fvs+Pt Ok
2uc 1.250 ... 665 28450 47 11380 Ps+Fvt Ok
3uc 0.020 ... ... 28450 ... 11380 Ps+Pt Ok
1c 0.473 ... 837 28450 59 11380 Fvs+Pt-Ca Ok
2c 0.473 ... 837 28450 59 11380 Ps+Fvt-Ca Ok
3c 0.270 ... ... 28450 ... 11380 Ps+Pt-Ca Ok
----------------------------------------------------------------------------
Max: 1.2500 ... in 0.029 0.005 (Str. Ratio)
Load Case Definitions:
Fvs,Fvt - User-defined Shell-side and Tube-side vacuum pressures or 0.0.
Ps, Pt - Shell-side and Tube-side Design Pressures.
Ca - With or Without Corrosion Allowance.
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Summary of Thickness Comparisons for 6 Load Cases:
----------------------------------------------------------------------------
Thickness (in) Required Actual P/F
----------------------------------------------------------------------------
Tubesheet Thickness : 1.2500 1.2500 Ok
Tube Thickness : 0.0060 0.1094 Ok
----------------------------------------------------------------------------
12.1.3. Flange Calculations
The body flanges selected for the heat exchanger are ANSI standard slip on flanges with a 10”
nominal pipe size. In order to confirm that the selected rating of 150 lb flange was going to pass the
calculations from the ASME Code standards, a complete analysis was run using the PV Elite software.
The gasket selection was an important factor in the calculations. Based on the results, the group
selected Gore Tex gasket with a thickness of .010” and a standard nominal width of ½”. A beneficial
aspect of this gasket is that it comes in a tape form, which can be reused and ease to install. The flange
calculations package as well as the input data for the two body flanges of the heat exchanger can be
found in Appendix 7: Flange Calculations of this report.
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13. Gantt Chart:
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14. Cost Estimation:
The cost estimation was made based on research and quotes from several companies to forecast the cost of the materials needed in the
design of the project. All prices are subject to change with deeper investigation for better prices and special discounts as students. The table with
the list of equipment, prices, and sources is shown below.
Equipment Qty. Unit Price Total
Shell and Tube Heat Exchanger with 3 Bundles 1 $1,500.00 $1,500.00Tanks 2 $270.00 $540.00Temperature Sensors 4 $26.00 $104.00Flow Rate Sensors 2 $350.00 $700.00Immersion Heater 1 $20.00 $20.00Centrifugal Pumps 2 $104.00 $208.00Bench 1 $190.00 $190.00Miscellaneous N/A $600.00 $600.00Computer, Software, Hardware 1 $600.00 $600.00Estimated Total $4,462.00
The total value was adjusted adding $600.00 for miscellaneous parts which includes the piping, bolts, gaskets, and other components that may
be needed to assemble the system.
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Works CitedCengel, Yunus. Heat and Mass Transfer A Practical Approach, Third Edition. New York: McGraw Hil Companies, Inc.l ,
2007.
Energy, U.S. Department of. "DOE FUNDAMENTALS HANDBOOK MECHANICAL SCIENCE." Washington, 1993. Vol. 1.
Engineers, 17-2141 Mechanical. U.S. Bureau of Labor Statistics. n.d. 06 February 2013.
Engineers, Mechanical. Government of Canada, Service Canada, Quebec, Programs Agreements and Partnership. 06 February 2013.
Groups, Engineering. Mechanical Engineering Job Growth. n.d. 06 February 2013.
HTRI. Heat Transfer Research Inc. n.d. <http://www.htri.net/articles/htri_xchanger_suite>.
Insight, Jobs Trends. Hiring Demand for Mechanical Engineers Nears 4-Year. n.d. 06 February 2013.
Kakac, S. "Heat Exchangers: Selection, Rating, and Thermal Design." Liu., Hongtan. Boca Raton, FL: CRC, 2002.
Kakac, Sadik. Heat Exchangers Selection, Rating, and Thermal Design. Miami: CRC PRESS, 2002.
Market, Mechanical Engineer: Duties & Job. Mechanical Engineer Job Description & Market Demand. n.d. 06 February 2013.
Robert H. Perry, Don W. Green. Perry's Chemical Engineers' Handbook, Eight Edition. New York: McGraw-Hill, 2008.
TEMA. Tubular Exchanger Manufacturers Association Inc. n.d. <http://www.tema.org/>.
Thome, John R. Wolverine Tube Heat Transfer Data Book. Wolverine Tube, Inc., 2010.
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Appendix 1: Quote from American Eagle Oilfield
Inquiry for Apparatus Model # HE 158C- Offer from American eagle Oilfield Services & Supplies, Inc.
TO: University Of Houston Houston, TEXAS Tel: 409 457 3499 Attn. Mr. Robert Maduro Academic Support Asst. Reference to the above mentioned subject, and on behalf of our principles {Solution Engineering SDN.BHD "SOLTEQ" },Please find enclosed / attached our OFFER for the following items: Item Qty Descriptions U/Price Extended----- ------ ------------------------------------- ---------- ---------------1 1 pc Heat exchanger training Apparatus. 22,750.00 22,750.00 Model # HE158C OPTIONAL ITEMS: 1 pc EI-DIGITAL INSTRUMINATIONS 2,442.00 2,442.00 1 pc DAS-DATA ACQUISITION SYSTEMS 3,406.00 3,406.00 1 pc PC-DESKTOP PC 1,041.00 1,041.00 ------------- Total Prices FOB Port Klang - Malaysia: US $ 29,639.00==================================================================TERMS & CONDITIONS=================- Manufacturer: SOLTEQ - Malaysia.- Technical Data sheets attached.- Warranty: 18 Months after the shipment date.- Delivery: 3-4 Months (ex-Factory). Delivery depends on when order/payment received.- Prices: FOB Port Klang-Malaysia (Excluded Insurance coverage).- Payment Terms: 50% Down Payment With the order. 50% Due Which shipment is ready for dispatched. Should you need any further assistant, please feel free to contact the undersigned. Looking forward to receiving your valuable order. Thank you,Tahsien KallaPresdent/CEOAmerican Eagle Oilfield Services & Supplies, Inc.1840 Snake River Road, Suite CKaty, Texas 77449Tel : 281 829 3838
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Appendix 2: Echoscan LLC Quotation
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Appendix 3: Total Dynamic Head Calculations
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Appendix 4: HTRI Final Results
Case 1
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Case 2
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Case 3
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Appendix 5: Thermal Calculations to Compare with HTRI Results
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Appendix 6: Detail of Tube Sheet Calculations
UHX-12.5.1 Step 1:
Compute the Equivalent Outer Tube Limit Circle Diameter [Do]:
= 2 * ro + dt
= 2 * 4.3077 + 0.7500 = 9.365 in
Determine the Basic Ligament Efficiency for Shear [mu]:
= (p - dt) / p
= (1.250 - 0.750 ) / 1.250 = 0.400
UHX-12.5.2 Step 2 :
Compute the Ratio [Rhos]:
= Gs / Do (Configurations d, e, f)
= 12.5000 / 9.3654 = 1.3347
Compute the Ratio [Rhoc]:
= Gc / Do (Configurations d)
= 12.5000 / 9.3654 = 1.3347
Moment on Tubesheet due to Pressures (Ps, Pt) [Mts]:
= Do²/16 * [(Rhos-1)*(Rhos²+1)* Ps - (Rhoc-1) * (Rhoc²+1) * Pt ]
= 9.365²/16 * [ (1.335 - 1) * (1.335² + 1) * 10.000 -
(1.335 - 1) * (1.335² + 1) * 0.000 ]
= 51.0335 psig*in²
UHX-12.5.3 Step 3, Determination of Effective Elastic Properties :
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Compute the Ratio [rho]:
= ltx / h = 1.1250 / 1.0000 = 1.0000 ( must be 0 <= rho <= 1 )
Compute the Effective Tube Hole Diameter [d*]:
= max( dt - 2tt*( Et/E )( St/S )( rho ), dt - 2tt)
= max( 0.7500 -2*0.1094 *(27475000 /27475000 )*
( 14225 /14225 )*(1.000 ), 0.7500 -2*0.1094 )
= 0.5312 in
Compute the Effective Tube Pitch [p*]:
= p / sqrt( 1 - 4 * min( AL * CNV_factor, 4*Do*p)/(Pi * Do²) )
= 1.2500 / sqrt( 1 - 4 * min( 19.38 *1.000 , 4*9.365 *1.250 )
(3.141* 9.365²) )
= 1.4746 in
Compute the Effective Ligament Efficiency for Bending [mu*]:
= (p* - d*) / p* = (1.4746 - 0.5312 ) / 1.4746 = 0.63976
Note: mu* is > 0.6, Div. 1 Part UHX data for E*/E and nu* are not applicable.
Data from Div. 2 App. 5.E is used.
E*/E, nu* for Triangular pattern from Div. 2 Tables 5.E.1, 5.E.2.
h/p = 0.800000 ; mu* = 0.639759
E*/E = 0.748851 ; nu* = 0.292479 ; E* = 20574688. psi
Skip Step 4 for Configuration d :
UHX-12.5.5 Step 5:
Diameter ratio [K]:
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= A / Do = 12.7500 / 9.3654 = 1.3614
Determine Coefficient [F]:
= (1 - nu*)/E* * ( E * ln(K) )
= (1 - 0.29 )/20574688 * ( 27475000 * ln(1.36 ) )
= 0.2915
UHX-12.5.6 Step 6:
Moment Acting on Unperforated Tubesheet Rim [M*]
= Mts + W* * (Gc - Gs)/(2 * pi * Do)
= 51.0 + 1227.2 * (12.500 - 12.500 )/(2 * pi * 9.365 )
= 51.0335 psig*in²
UHX-12.5.7 Step 7:
Maximum Bending Moment acting on Periphery of Tubesheet [Mp]:
= ((M*) - Do²/32 * F * (Ps - Pt) ) / (1 + F)
= ((51.03 ) - 9.365²/32 * 0.291 * (10.00 - 0.00 ) ) / (1 + 0.29 )
= 33.3293 psig*in²
Maximum Bending Moment acting on Center of Tubesheet [Mo]:
= Mp + Do²/64 * (3 + rnu*)(Ps - Pt)
= 33.33 + 9.365²/64 * (3 + 0.292 )(10.00 - 0.00 )
= 78.4520 psig*in²
Maximum Bending Moment acting on Tubesheet [M]:
= Max( |Mp|, |Mo| )
= Max( |33.329 |, |78.452 | )
= 78.4520 psig*in²
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UHX-12.5.8 Results for Step 8:
Tubesheet Bending Stress at Original Thickness:
= 6 * M / ( (mu*) * ( h - hg')² )
= 6 * 78.452 / ( (0.6398 ) * ( 1.0000 - 0.0625 )² )
= 837.1373 psi
The Allowable Tubesheet Bending Stress [SigmaAll]:
= 2 * S = 2 * 14225.00 = 28450.00 psi
Tubesheet Bending Stress at Final Thickness [Sigma]:
= 6 * M / ( (mu*) * ( h - hg')²
= 6 * 78.293 / ( (0.6398 ) * ( 0.2232 - 0.0625 )²
= 28419.2910 psi
Required Tubesheet Thickness, for Bending Stress [HreqB]:
= H + CATS + CATC = 0.2232 + 0.1250 + 0.1250 = 0.4732 in
Required Tubesheet Thickness for Given Loadings (includes CA) [Hreq]:
= Max( HreqB, HreqS ) = Max( 0.4732 , 0.2551 ) = 0.4732 in
UHX-12.5.9 Step 9:
|Ps - Pt| = |10.00 - 0.00 | = 10.000 psig
Shear Stress check [Tau_limit]:
= 3.2 * S * MU * h / Do
= 3.2 * 14225.00 * 0.400 * 1.000 / 9.37 = 1944.18 psig
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Average Shear Stress at the Outer Edge of Perforated Region [Tau]:
= 1/(4* Mu) * (Do/h) * |Ps - Pt|
= 1/(4*0.400)*(9.37/1.00)*|10.00-0.00|psi
= 58.53 psi
Note: Analysis Completed for Tubesheet Configuration d.
Stress/Force summary for loadcase 2 corr. (Ps + Fvt):
------------------------------------------------------------------------
Stress Description Actual Allowable Pass/Fail
------------------------------------------------------------------------
Tubesheet bend. stress 837.1 <= 28450.0 psi Ok
Tubesheet shear stress 58.5 <= 11380.0 psi Ok
------------------------------------------------------------------------
Thickness results for loadcase 2 corr. (Ps + Fvt):
----------------------------------------------------------------------------
Thickness (in) Required Actual P/F
----------------------------------------------------------------------------
Tubesheet Thickness : 0.4732 1.2500 Ok
----------------------------------------------------------------------------
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Appendix 7: Flange Calculations
Flange Input Data Values Description: Channel to TubeSheet :
Channel to Tubesheet Flg
Description of Flange Geometry (Type) Integral Slip On
Design Pressure P 10.00 psig
Design Temperature 205 °F
Internal Corrosion Allowance ci 0.1250 in
External Corrosion Allowance ce 0.0000 in
Use Corrosion Allowance in Thickness Calcs. No
Flange Inside Diameter B 10.020 in
Flange Outside Diameter A 16.000 in
Flange Thickness t 1.1900 in
Thickness of Hub at Small End go 0.8329 in
Thickness of Hub at Large End g1 0.9250 in
Length of Hub h 0.7500 in
Flange Material SA-182 F304L
Flange Material UNS number S30403
Flange Allowable Stress At Temperature Sfo 14225.00 psi
Flange Allowable Stress At Ambient Sfa 16700.00 psi
Bolt Material SA-193 B8
Bolt Allowable Stress At Temperature Sb 16700.00 psi
Bolt Allowable Stress At Ambient Sa 18800.00 psi
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Diameter of Bolt Circle C 14.250 in
Nominal Bolt Diameter a 0.8750 in
Type of Threads TEMA Thread Series
Number of Bolts 12
Flange Face Outside Diameter Fod 12.750 in
Flange Face Inside Diameter Fid 10.750 in
Flange Facing Sketch 1, Code Sketch 1a
Gasket Outside Diameter Go 11.750 in
Gasket Inside Diameter Gi 10.750 in
Gasket Factor m 2.0000
Gasket Design Seating Stress y 2800.00 psi
Column for Gasket Seating 2, Code Column II
Gasket Thickness tg 0.0100 in
ANSI Flange Class 150
ANSI Flange Grade GR 2.2
ASME Code, Section VIII, Division 1, 2010, 2011a
Corroded Flange ID, Bcor = B+2*Fcor 10.270 in
Corroded Large Hub, g1Cor = g1-ci 0.800 in
Corroded Small Hub, g0Cor = go-ci 0.708 in
Code R Dimension, R = ((C-Bcor)/2)-g1cor 1.190 in
Gasket Contact Width, N = (Go - Gi) / 2 0.500 in
Basic Gasket Width, bo = N / 2 0.250 in
Effective Gasket Width, b = bo 0.250 in
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Gasket Reaction Diameter, G = (Go + Gi) / 2 11.250 in
Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G² * Peq
= 0.785 * 11.2500² * 10.000
= 994.020 lbf
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P
= 2 * 0.2500 * 3.1416 * 11.2500 * 2.0000 * 10.00
= 353.429 lbf
Hydrostatic End Load at Flange ID [Hd]:
= Pi * Bcor² * P / 4
= 3.1416 * 10.2700² *10.0000/4
= 828.382 lbf
Pressure Force on Flange Face [Ht]:
= H - Hd
= 994 - 828
= 165.637 lbf
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 994 + 353 + 0 , 0 )
= 1347.449 lbf
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 2800.00*0.2500*3.141*11.250+0.00*0.0000*0.00
= 24740.043 lbf
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
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= Maximum of 1347/16700 , 24740/18800
= 1.316 in²
ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]:
= 2a + 6t/(m + 0.5)
= 2 * 0.875 + 6 * 1.190/(2.00 + 0.5)
= 4.606 in
Actual Circumferential Bolt Spacing [Bs]:
= C * sin( pi / n )
= 14.250 * sin( 3.142/12 )
= 3.688 in
ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]:
= max( sqrt( Bs/( 2a + t )), 1 )
= max( sqrt( 3.688/( 2 * 0.875 + 1.190 )), 1 )
= 1.1200
Bolting Information for TEMA Imperial Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
-----------------------------------------------------------------------------
Bolt Area, in² 1.316 5.028
Radial distance bet. hub and bolts 1.250 1.190
Radial distance bet. bolts and the edge 0.938 0.875
Circumferential spacing between bolts 2.063 3.688 4.606
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
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= 5.028 * 18800.00/(2800.00 * 3.14 * (11.750 + 10.75 ) )
= 0.478 in
Flange Design Bolt Load, Gasket Seating [W]:
= Sa * ( Am + Ab ) / 2
= 18800.00 * ( 1.3160 + 5.0280 )/2
= 59633.22 lbf
Gasket Load for the Operating Condition [HG]:
= Wm1 - H
= 1347 - 994
= 353.43 lbf
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 14.2500 - 11.2500 )/2
= 1.5000 in
Distance to Face Pressure Reaction [ht]:
= ( R + g1 + hg ) / 2
= ( 1.1900 + 0.8000 + 1.5000 )/2
= 1.7450 in
Distance to End Pressure Reaction [hd]:
= R + ( g1 / 2 )
= 1.1900 + ( 0.8000/2.0 )
= 1.5900 in
Summary of Moments for Internal Pressure:
Loading Force Distance Bolt Corr Moment
End Pressure, Md 828. 1.5900 1.1200 1475. in-lb
Face Pressure, Mt 166. 1.7450 1.1200 324. in-lb
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Gasket Load, Mg 353. 1.5000 1.1200 594. in-lb
Gasket Seating, Matm 59633. 1.5000 1.1200 100187. in-lb
Total Moment for Operation, Mop 2393. in-lb
Total Moment for Gasket seating, Matm 100187. in-lb
Note: User choose not to perform Stress Calculations on this ANSI Flange.
Pressure rating of the flange will be used to check code compliance.
Estimated Finished Weight of Flange at given Thk. 48.7 lbm
Estimated Unfinished Weight of Forging at given Thk 68.8 lbm
PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013
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Flange Input Data Values Description: TubeSheet to Shell :
Tubesheet to Shell Flg
Description of Flange Geometry (Type) Integral Slip On
Design Pressure P 10.00 psig
Design Temperature 205 °F
Internal Corrosion Allowance ci 0.1250 in
External Corrosion Allowance ce 0.0000 in
Use Corrosion Allowance in Thickness Calcs. No
Flange Inside Diameter B 10.020 in
Flange Outside Diameter A 16.000 in
Flange Thickness t 1.1900 in
Thickness of Hub at Small End go 0.8329 in
Thickness of Hub at Large End g1 0.9250 in
Length of Hub h 0.7500 in
Flange Material SA-182 F304L
Flange Material UNS number S30403
Flange Allowable Stress At Temperature Sfo 14225.00 psi
Flange Allowable Stress At Ambient Sfa 16700.00 psi
Bolt Material SA-193 B8
Bolt Allowable Stress At Temperature Sb 16700.00 psi
Bolt Allowable Stress At Ambient Sa 18800.00 psi
Diameter of Bolt Circle C 14.250 in
Nominal Bolt Diameter a 0.8750 in
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Type of Threads TEMA Thread Series
Number of Bolts 12
Flange Face Outside Diameter Fod 12.750 in
Flange Face Inside Diameter Fid 10.750 in
Flange Facing Sketch 1, Code Sketch 1a
Gasket Outside Diameter Go 11.750 in
Gasket Inside Diameter Gi 10.750 in
Gasket Factor m 2.0000
Gasket Design Seating Stress y 2800.00 psi
Column for Gasket Seating 2, Code Column II
Gasket Thickness tg 0.0100 in
ANSI Flange Class 150
ANSI Flange Grade GR 2.2
ASME Code, Section VIII, Division 1, 2010, 2011a
Corroded Flange ID, Bcor = B+2*Fcor 10.270 in
Corroded Large Hub, g1Cor = g1-ci 0.800 in
Corroded Small Hub, g0Cor = go-ci 0.708 in
Code R Dimension, R = ((C-Bcor)/2)-g1cor 1.190 in
Gasket Contact Width, N = (Go - Gi) / 2 0.500 in
Basic Gasket Width, bo = N / 2 0.250 in
Effective Gasket Width, b = bo 0.250 in
Gasket Reaction Diameter, G = (Go + Gi) / 2 11.250 in
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Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G² * Peq
= 0.785 * 11.2500² * 10.000
= 994.020 lbf
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P
= 2 * 0.2500 * 3.1416 * 11.2500 * 2.0000 * 10.00
= 353.429 lbf
Hydrostatic End Load at Flange ID [Hd]:
= Pi * Bcor² * P / 4
= 3.1416 * 10.2700² *10.0000/4
= 828.382 lbf
Pressure Force on Flange Face [Ht]:
= H - Hd
= 994 - 828
= 165.637 lbf
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 994 + 353 + 0 , 0 )
= 1347.449 lbf
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 2800.00*0.2500*3.141*11.250+0.00*0.0000*0.00
= 24740.043 lbf
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 1347/16700 , 24740/18800
= 1.316 in²
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ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]:
= 2a + 6t/(m + 0.5)
= 2 * 0.875 + 6 * 1.190/(2.00 + 0.5)
= 4.606 in
Actual Circumferential Bolt Spacing [Bs]:
= C * sin( pi / n )
= 14.250 * sin( 3.142/12 )
= 3.688 in
ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]:
= max( sqrt( Bs/( 2a + t )), 1 )
= max( sqrt( 3.688/( 2 * 0.875 + 1.190 )), 1 )
= 1.1200
Bolting Information for TEMA Imperial Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
-----------------------------------------------------------------------------
Bolt Area, in² 1.316 5.028
Radial distance bet. hub and bolts 1.250 1.190
Radial distance bet. bolts and the edge 0.938 0.875
Circumferential spacing between bolts 2.063 3.688 4.606
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 5.028 * 18800.00/(2800.00 * 3.14 * (11.750 + 10.75 ) )
= 0.478 in
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Flange Design Bolt Load, Gasket Seating [W]:
= Sa * ( Am + Ab ) / 2
= 18800.00 * ( 1.3160 + 5.0280 )/2
= 59633.22 lbf
Gasket Load for the Operating Condition [HG]:
= Wm1 - H
= 1347 - 994
= 353.43 lbf
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 14.2500 - 11.2500 )/2
= 1.5000 in
Distance to Face Pressure Reaction [ht]:
= ( R + g1 + hg ) / 2
= ( 1.1900 + 0.8000 + 1.5000 )/2
= 1.7450 in
Distance to End Pressure Reaction [hd]:
= R + ( g1 / 2 )
= 1.1900 + ( 0.8000/2.0 )
= 1.5900 in
Summary of Moments for Internal Pressure:
Loading Force Distance Bolt Corr Moment
End Pressure, Md 828. 1.5900 1.1200 1475. in-lb
Face Pressure, Mt 166. 1.7450 1.1200 324. in-lb
Gasket Load, Mg 353. 1.5000 1.1200 594. in-lb
Gasket Seating, Matm 59633. 1.5000 1.1200 100187. in-lb
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Total Moment for Operation, Mop 2393. in-lb
Total Moment for Gasket seating, Matm 100187. in-lb
Note: User choose not to perform Stress Calculations on this ANSI Flange.
Pressure rating of the flange will be used to check code compliance.
Estimated Finished Weight of Flange at given Thk. 48.7 lbm
Estimated Unfinished Weight of Forging at given Thk 68.8 lbm
PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013
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Appendix 8: Heat Exchanger Drawings
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Appendix 9: Total Working Hours for the Project
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