2
4
2
2
Int. J. Nanosci. Nanotechnol., Vol. 10, No. 3, Sept. 2014, pp. 153-162
Calculation of Heat Transfer Coefficient of MWCNT-TiO2
Nanofluid in Plate Heat Exchanger
M. A. Safi1, A. Ghozatloo1,2*, A. A. Hamidi3, M. Shariaty-Niassar1
1- Transport Phenomena and Nanotechnology Laboratory, Department of Chemical Engineering,
College of Eng., University of Tehran, Tehran, I. R. Iran
2- Faculty member of Research Institute of Petroleum Industry (RIPI), West blvd. Azadi Sport
Compl ex,Tehr an, I.R.Iran 3- Department of Chemical Engineering, College of Eng., University of Tehran, Tehran, I. R. Iran
Abstract:
(*) Corresponding author: [email protected]
(Received: 30 Dec. 2013 and accepted: 18 July 2014)
The objective of the present study is the synthesis of MWCNT-TiO hybrid nanostructures by solvothermal
synthesis method with TiCl as precursor. The heat transfer enhancement due to the use of MWCNT-TiO
nanofluid was investigated. As-prepared hybrid materials were characterized by X-ray diffraction (XRD)
and scanning electron microscopy (SEM). The results showed that MWCNTs were uniformly decorated with
anatase nanocrystals. The heat transfer performance of the plate heat exchanger (PHE) was investigated using
MWCNT-TiO nanofluid at various volume flow rates, a wide range of concentrations and inlet temperatures.
The performance is discussed in terms of heat transfer coefficient ratio. The results showed that the heat
transfer coefficient of the nanofluid was more than that of the base fluid (Distilled Water). The heat transfer
coefficient was enhanced with increasing the nanofluid concentration from 0.02 to 0.08 wt.% and volume flow
rate from 2 to 3.5 LPM. Conversely, the heat transfer coefficient decreased with increasing the nanofluid inlet
temperature from 36 to 60oC.
Keywords: Nanofluids, Plate heat exchanger, Heat transfer, Hybrid
1. INTRODUCTION
The plate heat exchangers (PHEs) are compact
and efficient, widely used in many engineering
applications because of their high thermal
efficiency, compactness, usefulness in varying
loads, flexibility and ease of sanitation. To take
care of the growing demand for energy density,
heat transfer capacity needs to be increased and
this can be attained by the use of a fluid with better
transport properties. Innovative heat transfer fluids
suspended by nanometer-sized solid particles are
called ‘nanofluids’ which was coined by Choi
in 1995 [1]. These fluids include metal oxides,
chemically stable metals and several allotropes of
carbon with thermal conductivities typically an
order-of-magnitude higher than those of the base
fluids and with sizes significantly smaller than 100
nm[2].
The heat transfer enhancement when using
nanofluids may be affected by several mechanisms
such as Brownian motion, sedimentation, dispersion
of the suspended particles, thermophoresis,
diffusiophoresis, layering at the solid/liquid
interface and ballistic phonon transport. It should
be noted that the increase in thermal conductivity
might be offset by the increase in viscosity and
decreased the effective specific heat of nanofluid.
153
mailto:[email protected]
154
However, various experiments showed significantheat transfer enhancement with little penalty ofpressuredropinheatexchangerapplications[3-6].Carbon nanotubes (CNTs) have drawn extensiveattention owing to their promising applicationsin various fields. One of the most importantapplications is employing CNTs as scaffolds ofvariousoxideslikeTiO2[7]toconstructfunctionalcarbon-based hybrids or composites. Manymethods including self-assembly, sol–gel coating[8], hydrothermal, solvothermal, and liquid/vaporphase deposition have recently been developed toprepare this kind of hybrids. Most of these methods aregenerallyemployedinaqueousreactivesystems[7]wherepristinehydrophobicCNTsrequiretobepre-oxidized in strong acids into their hydrophilicformscontaining–OHand–COOH.However,theoxidization usually causes uncontrollable damageto the structure of CNTs [8], undesired surfacedefects and shortening of CNTs, which exertsadverseeffectsontheconductivityandmechanicalpropertiesofpristineCNTs.Therefore,itbecomesimportant to develop new strategies for preparinguniform hybrids with pristine CNTs as startingsupports[9].Theobjectiveof thepresentstudyis thesynthesisof MWCNT-TiO2 hybrid by solvothermal method andinvestigatingtheheattransferenhancementdueto the use ofMWCNT-TiO2 nanofluid in a PHE.Experiments were conducted in a wide range ofconcentrations (0.02, 0.04, 0.06 and 0.08 wt.%),temperatures(36,44,52and60oC)andvolumeflowrates(2,2.5,3and3.5LPM).
2.EXPERIMENTALPROCEDURES
2.1.Materials
ThemultiwallcarbonnanotubewaspurchasedfromResearch Institute of Petroleum Industry (RIPI).Sulfuricacid(H2SO4),Nitricacid(HNO3), titanium chloride(TiCl4)andEthanolwerepurchasedfromMerckKGaA(Darmstadt,Germany).
2.2. Functionalization of Multiwall CarbonNanotube
Theraw-MWCNTsweresonicatedfor3hat60oC
in an ultrasonic bathwith a (v/v, 3:1)mixture ofconcentratedH2SO4 andHNO3tointroduceoxygencontainingfunctionalgroupson theraw-MWCNTsurface.TheloadofMWCNTswas1gfor80mLof the blended acid solution. Then the mixturewas diluted by distilledwater, and it was filteredand washed repeatedly till the washing showednoacidity.ThecleanMWCNTsweredried in theoven at 60oCfor12hours[10].Thereactionschemefor the treatmentofCNTsusingAcid treatment isshowninFigure1.
Figure 1: Scheme reaction for Acid treatment of CNTs
2.3.SynthesisofMWCNT-TiO2 hybrid
The MWCNT-TiO2 hybrid nanostructures wereprepared from titanium chloride by solvothermalmethod. Briefly, 0.5 mL TiCl4 (4.55 mmol) wasslowly dropped into 40 mL ethanol and stirredmagnetically to provide a completely transparentyellow solution. Desired amounts of MWCNTwere dissolved, placed in the ultrasonic bath for45minanddispersed in thesolution.Then itwastransferredtoaTeflon-lined,stainlessautoclaveandstored at 120oC for 24 h, until it turned into gray or dark precipitate.The precipitatewas separated bycentrifugationandwashedcarefullywithanhydrousethanol(3×20mL)toremoveorganicspecies.Thecollectedmaterialswerelefttodryinanovenat60oC for12handthencalcinedatdifferenttemperatures(100–400oC) for 2 h to obtain theMWCNT-TiO2 hybridnanostructures[11].Thesamplescontained50wt.%MWCNTinthispaper.
2.4.PreparationsofNanofluids
In order to prepare the samples (MWCNT-TiO2 nanofluids),atwo-stepprocesswasused.MWCNT-TiO2 with a wide range of concentrations (0.02,0.04,0.06and0.08%wt)wasmixedupwithabasefluid,i.e.distilledwater,andplacedintheultrasonic
Safi,et al.
155
device(BANDELINSONOPULSHD3200,140W,20kHz,Figure2)for45min[12].
Figure 2: Ultrasonic device in laboratory
2.5. Experimental setup and procedure
Anexperimentalsetupwasdevelopedtoinvestigatethe heat transfer coefficient of the nanofluid asshown in Figure 3 and 4.A commercial PHEmanufacturedbyGEAGermanyhaswas for thispurpose.The geometric details of the plates andthe heat exchanger are provided in Table 1 andFigure5.
Figure 3: Photograph of the experimental setup
Theexperimental setupmainly included twoflowloops, for the hot and cold fluids (nanofluid and
water flow loops) as illustrated in Figure 4. Thedeviceconsistedofastainlesssteeltank,aheater,apump,aplateheatexchanger,twogatevalves,5on/offvalves,2rotameters,5resistancethermocouples,PLCandacomputer.Thestoragetankwasmadeofstainlesssteel304topreventcorrosionandthetanksizewas15×12×12cm.Toavoidheatloss,thetankwasmade of two layers of glasswoolwith somespacebetweenthem.Forheatingthenanofluida2kWheaterwasbuilt inthestoragetank.Nanoparticlesdonotprecipitatebecauseofthemixingduetothefluidflowinsidetheexchanger.Four RTD PT-100 probes measure the inlet andoutlet temperatures of each stream. To controltheflow rate of the nanofluid and coldwater tworotameterswereused.FlowrateoftheNnanofluidvariedfrom2to3.5LPMwhereasflowrateofthecoldstreamwas1LPMinalltests.Theminimumrequirednanofluidforthesetupis1100ml.A typical test normally lasted approximately 60min.Thistimeintervalwasrequiredforthesystemto achieve steady-state conditions. In order toestablish whether the system reached the steady-state conditions, the temperatureswere constantlymonitored.
Table 1: Geometrical parameters of tested plate heat exchanger
282Verticaldistance,H(cm)
239Vertical distance between centers of ports,H1 (cm)127Horizontaldistance,W(cm)
84Horizontal distance between centers of ports,W1 (mm)19.5Port length, S (mm)
-196~204OperationTemperature,(0C)33maximum operation pressure, (bar)6Number of plates
2.05Meanchannelspacing,bc (mm)0.6Platethickness(mm)0.16Total area of heat transfer (m2)
2.6. Data analysis
Experimental data was used to calculate the heattransfer coefficient of the nanofluids. Reynoldsnumber of coldwater can be calculated based on
International Journal of Nanoscience and Nanotechnology
156
channelmassvelocityandhydraulicdiameterofthechannelasfollows[13]:
Re w hww
G Dµ
= (1)
Where Dh=2bc is the hydraulic diameter. Thechannelmassvelocityisobtainedfromthefollowingrelationship:
/ . .ww ch cG m n b W•
= (2)
Where 3chn = for cold and 2 for hot stream,respectively.The heat has been removed by nanofluids andabsorbedbythecoldwater, cQ ,iscalculatedbyEq.(3)usingthemeasuredtemperatureandmass-flowrate.
Figure 4: Schematic diagram of the experimental setup
Safi,et al.
157
,cc c p cQ m c T•
= ∆ (3)
The fluid properties are evaluated at bulktemperatureswhicharecalculatedas:
,c c, c,o( ) / 2b iT T T= + (4)
TheNusseltof thecoldfluidcanbecalculatedbythefollowingequation[14]:
0.66 0.330.455Re Prc c cNu = (5)
Thesevaluesareobtainedfromthestandardizationonthewateroftheexchangerbytheconstructor.ThePrandtlnumberisdefinedasfollows:
( )Pr c p cc
c
Ck
µ=
(6)
Theheattransfercoefficientofwater(coldstream)canbecalculatedbythefollowingequation:
.c hc
c
Nu Dhk
=
(7)
The overall heat transfer coefficient is calculatedusingEq.(8)basedontheexperimentaldata:
. .c
LMTD
QUA F T
=∆
(8)
WhereAisthetotalheattransferareaofthePHEandFisthetemperaturecorrectionfactor,whichcanbetakenequalto1inthecaseofthecountercurrentflow.
( ) ( )( )
( )
nf, w, nf, w,
nf, w,
nf, w,
ln
i o o iLMTD
i o
o i
T T T TT
T TT T
− − −∆ =
− −
(9)
The heat transfer coefficient of nanofluids areevaluatedusingoverallheattransfercoefficientandwater heat transfer coefficient. Given the thermalconductivityof theplate,k, and its thickness,∆x,theheattransfercoefficientofnanofluidsisobtainedfromthefollowingrelationship:
nf
w
hx
U h k
= ∆
− −
11 1 (10)
3. RESULTS
3.1. FTIR spectroscopyThe functionalization & chemical structure ofMWCNTwereidentifiedbyFTIR(ThermoScientific,Nicolet 6700). Typically 100 scans over the range4000–500 cm-1were taken from each samplewitha resolution of 2 cm-1 and summed to provide the spectra.TheresultsareshowninFigure6.The broad band of FTIR spectra between 3000and 3700 cm-1 corresponds to the presence of theoxygenatedgroups[15].Thepresenceofcarboxylfunctional groups and OH groups could alsobe detected at around 1768 cm-1 and 3454 cm-1, respectively[16].Thepeaksat1647cm-1and1225cm-1canbeattributedtoC=CbandingvibrationsofaromaticstructuresandC-Obanding, respectively[17].
Figure 5: Basic geometric parameters of plate heat exchanger
International Journal of Nanoscience and Nanotechnology
158
Figure 6: FTIR of raw-MWCNT and func-MWCNT
3.2.SEMimaging
The morphology of the TiO2 on MWCNT wasexamined by SEM image. Scanning ElectronMicroscope (SEM)was carried out usingKYKY-EM3200 at 40 kV. The SEM images of thefunctionalizedMWCNTandMWCNT-TiO2 hybrid areshowninFigure7.Ascanbeseen,theMWCNTscoatedwithwell-dispersedTiO2particlesareclearlyshown,indicatingthattheMWCNTsandTiO2 had anintimatecontact.
3.3 XRD analysis
X-raydiffraction(XRD)patternswereanalyzedbyanX-ray diffractometer (BrukerAXS., Germany)usingCuKαradiationsourceat40kV.TheXRDpatterns of the functionalized MWCNT and
MWCNT-TiO2hybridareshowninFigure8TheXRDpatternsrevealthatonlyanatasephaseofTiO2canbeidentified.ThepristineMWCNTshavetwo typical diffraction peaks (002 and 101). ForMWCNT-TiO2hybridthemaindiffractionpeaksofanataseTiO2(101,004,200,105,211,and204)areclearlyshown[9].
Figure 8: XRD patterns of the func-MWCNT and MWCNT-TiO2 hybrid
BasedonScherrer equation thecrystalline sizeofthe anatase phases is 2.3 nm.
3.4.Heattransfercoefficientofnanofluid
To evaluate the reliability and accuracy of themeasurements,experimentalsystemwastestedwithdistilledwaterbeforemeasuringtheheattransferofnanofluids.TheresultsareshowninFigure9.
Figure 7: SEM image of a) func-MWCNT, b) MWCNT-TiO2 hybrid
Safi,et al.
a) b)
159
Figure 9: Variation of heat transfer coefficient of distilled water nanofluid tested at different volume flow rates with various temperatures: a) 360C, b)
44oC, c) 52oC, d) 60oC Figure 10 shows the variations of heat transfercoefficient of MWCNT-TiO2 nanofluid withdifferent weight concentrations (0.02, 0.04, 0.06and 0.08wt.%) in awide range of volume flow
rates (2,2.5,3and3.5LPM)andat theflowrateofcoldwaterequalto1LPM.AsshowninFigure10, the heat transfer coefficient increases withincreasingweightfractionofnanoparticles.Addingnanoparticles increases particle collisions andinteractions.Nanoparticle penetration and relativemotionsnearthewallplatesmayalsoincreasetheheat transfer.Figure11showsthevariationsoftheheattransfercoefficient ratio of MWCNT-TiO2 nanofluid atdifferentvolumeflowrates(2,2.5,3and3.5LPM),differentconcentrations(0.02,0.04,0.06and0.08wt.%)andataflowrateofcoldwaterequal to1LPM.Ataconstantinlettemperatureandaparticleweight concentration of nanoparticles, a higherflowrateofnanofluidscausesagreaterheattransfercoefficient ratio. As the flow rate of nanofluidsincreases, the influence of nanoparticle collisionon the wall surface increases which leads totemperaturerise.Theoutcomeofthisinvestigations
nanofluincreasetemperaratios o Fig. 12differenand 3.5ratio ofthe inleincreasi1- Rapinanopar2- Deplconduct
Fig. 10.
uids causes es, the inuature rise. Tf nanouids
22 shows thnt temperatu5 LPM) andf the heat tret temperatuing the nanoid alignmenrticles. letion of partivity layer
. Variation of h
a greater huence of nanThe outcoms increases he variationures (36, 44d at a ow rransfer coefure. The douid inlet t
nt of nanopa
rticles in theat the wall.
a)
c) heat transfer coe
with va
heat transfenoparticle c
me of this invsignicantlyns of heat 4, 52 and 60rate of coldfcients (na
decrease in temperature
articles in lo
e near-wall
efficient of MWarious temperat
10
er coefciecollision on vestigationsy. transfer co
0 0C) in a wd water equanouid to the heat tr
e can be dueower viscos
uid phase
WCNT-TiO2/watures: a) 36 0C,
ent ratio. Athe wall su
s showed th
oefcient ofwide range oual to 1 LPMthe base u
ransfer coefe attributed sity uids, le
e, leading to
ater nanofluid teb) 44 0C, c) 52
As the ow urface increahat the heat
f MWCNTof volume fM. Accordiuid) increasfcient of to two factoeading to le
o an intrinsi
b)
d) ested at differen
0C, d) 60 0C
rate of naases which transfer co
T-TiO2 nanoflow rates (2ing to Fig. ses with decthe nanouors [18]: ess contact b
cally lower
nt weight conce
anouids leads to efcient
ouid at 2, 2.5, 3 122, the creasing uid with
between
thermal
entrations Figure 10: Variation of heat transfer coefficient of MWCNT-TiO2 /water nano-
fluid tested at different weight concentrations with various temperatures: a) 36oC, b) 44oC, c) 52oC, d) 60oC
International Journal of Nanoscience and Nanotechnology
160
nanofluincreasetemperaratios o Fig. 12differenand 3.5ratio ofthe inleincreasi1- Rapinanopar2- Deplconduct
Fig. 10.
uids causes es, the inuature rise. Tf nanouids
22 shows thnt temperatu5 LPM) andf the heat tret temperatuing the nanoid alignmenrticles. letion of partivity layer
. Variation of h
a greater huence of nanThe outcoms increases he variationures (36, 44d at a ow rransfer coefure. The douid inlet t
nt of nanopa
rticles in theat the wall.
a)
c) heat transfer coe
with va
heat transfenoparticle c
me of this invsignicantlyns of heat 4, 52 and 60rate of coldfcients (na
decrease in temperature
articles in lo
e near-wall
efficient of MWarious temperat
10
er coefciecollision on vestigationsy. transfer co
0 0C) in a wd water equanouid to the heat tr
e can be dueower viscos
uid phase
WCNT-TiO2/watures: a) 36 0C,
ent ratio. Athe wall su
s showed th
oefcient ofwide range oual to 1 LPMthe base u
ransfer coefe attributed sity uids, le
e, leading to
ater nanofluid teb) 44 0C, c) 52
As the ow urface increahat the heat
f MWCNTof volume fM. Accordiuid) increasfcient of to two factoeading to le
o an intrinsi
b)
d) ested at differen
0C, d) 60 0C
rate of naases which transfer co
T-TiO2 nanoflow rates (2ing to Fig. ses with decthe nanouors [18]: ess contact b
cally lower
nt weight conce
anouids leads to efcient
ouid at 2, 2.5, 3 122, the creasing uid with
between
thermal
entrations
Fig. 11.
Fig. 12.
4. ConcIn this methodThe heawas caconcentas follo
1)
Variation of hevario
Variation of he
clusion paper, anat
d and characat transfer
alculated. Ttrations, owws: The heat trnanouid.
a)
c) eat transfer coefous weight con
a)
c) eat transfer coef
volume
tase TiO2 ncterized by Xcoefficient
The experimw rates and
ransfer coefAt the tem
fficient of MWcentrations: a) 0
fficient of MWe flow rates: a)
nanoparticleXRD, SEMof a MWC
ments wered inlet temp
fcient decmperatures
11
CNT-TiO2/wat0.02 wt. %, b) 0
WCNT-TiO2/wat2 LPM b) 2.5 L
s were anchM and FT-IRCNT-TiO2 ne done in eratures of
creased withof 44 and
ter nanofluid te0.04 wt. %, c) 0
ter nanofluid teLPM, c) 3 LPM
hored on CR techniquesnanouid o
a wide rthe nanoflu
h increasing60 0C, th
b)
d)ested at differen0.06 wt. %, d) 0
b)
d) ested at differen
M, d) 3.5 LPM
CNTs surfacs. owing in a ange of n
uid. The ma
g the inlet e heat tran
nt volume flow r0.08 wt. %
nt inlet temperat
ce via solvo
counter oanoparticle
ajor conclus
temperaturnsfer coef
rates with
tures with
othermal
ow PHE weight
sions are
e of the cient of
Fig. 11.
Fig. 12.
4. ConcIn this methodThe heawas caconcentas follo
1)
Variation of hevario
Variation of he
clusion paper, anat
d and characat transfer
alculated. Ttrations, owws: The heat trnanouid.
a)
c) eat transfer coefous weight con
a)
c) eat transfer coef
volume
tase TiO2 ncterized by Xcoefficient
The experimw rates and
ransfer coefAt the tem
fficient of MWcentrations: a) 0
fficient of MWe flow rates: a)
nanoparticleXRD, SEMof a MWC
ments wered inlet temp
fcient decmperatures
11
CNT-TiO2/wat0.02 wt. %, b) 0
WCNT-TiO2/wat2 LPM b) 2.5 L
s were anchM and FT-IRCNT-TiO2 ne done in eratures of
creased withof 44 and
ter nanofluid te0.04 wt. %, c) 0
ter nanofluid teLPM, c) 3 LPM
hored on CR techniquesnanouid o
a wide rthe nanoflu
h increasing60 0C, th
b)
d)ested at differen0.06 wt. %, d) 0
b)
d) ested at differen
M, d) 3.5 LPM
CNTs surfacs. owing in a ange of n
uid. The ma
g the inlet e heat tran
nt volume flow r0.08 wt. %
nt inlet temperat
ce via solvo
counter oanoparticle
ajor conclus
temperaturnsfer coef
rates with
tures with
othermal
ow PHE weight
sions are
e of the cient of
Figure 11: Variation of heat transfer coefficient of MWCNT-TiO2/water nano-fluid tested at different volume flow rates with various weight concentrations: a)
0.02 wt.%, b) 0.04 wt.%, c) 0.06 wt.%, d) 0.08 wt.%
Figure 12: Variation of heat transfer coefficient of MWCNT-TiO2/water nano-fluid tested at different inlet temperatures with volume flow rates: a) 2 LPM b)
2.5 LPM, c) 3 LPM, d) 3.5 LPM
Safi,et al.
161
showed that the heat transfer coefficient ratios ofnanofluidsincreasessignificantly.Figure 12 shows the variations of heat transfercoefficientofMWCNT-TiO2nanofluidatdifferenttemperatures(36,44,52and60oC)inawiderangeof volume flow rates (2, 2.5, 3 and 3.5 LPM)and at a flow rate of coldwater equal to 1LPM.AccordingtoFigure12,theratiooftheheattransfercoefficients (nanofluid to the basefluid) increaseswithdecreasingtheinlettemperature.Thedecreaseintheheattransfercoefficientofthenanofluidwithincreasing the nanofluid inlet temperature can bedueattributedtotwofactors[18]:1. Rapid alignment of nanoparticles in lower
viscosityfluids,leadingtolesscontactbetweennanoparticles.
2. Depletion of particles in the near-wall fluidphase,leadingtoanintrinsicallylowerthermalconductivitylayeratthewall.
4.CONCLUSION
In this paper, anatase TiO2 nanoparticles wereanchored on CNTs surface via solvothermalmethodandcharacterizedbyXRD,SEMandFT-IRtechniques.The heat transfer coefficient of a MWCNT-TiO2 nanofluid flowing in a counter flow PHE wascalculated.The experimentswere done in awiderange of nanoparticle weight concentrations, flowrates and inlet temperatures of the nanofluid.Themajorconclusionsareasfollows:The heat transfer coefficient decreased withincreasingtheinlettemperatureofthenanofluid.Atthe temperatures of 44 and 60oC, the heat transfer coefficient of MWCNT-TiO2 nanofluid enhanced16.1%and13.7%at0.06wt.%and2LPMcomparedwiththatofdistilledwater.The heat transfer coefficient enhanced with theaddition of nanoparticles to the base fluid.At theconcentrationsof0.04and0.08wt.%ofMWCNT-TiO2 nanoparticles, the heat transfer coefficientincreased18.6%and20.2%comparedwiththatofdistilledwaterat36oCand3.5LPM.Theheattransfercoefficientincreasedsignificantlywith increasing the volumetric flow rate of the
nanofluid.At the volume flow rates of 2.5 and 3LPMofMWCNT-TiO2nanofluid,theheattransfercoefficientenhanced11.1%and13%at0.02wt.%and52oCcomparedwiththatofdistilledwater.
ACKNOWLEDGEMENT
TheauthorswishtothanktheTransportPhenomenaandNanotechnologyLaboratory (TPNT) for theirgreatsupporttothisproject.
ABBREVIATIONS
MWCNT: multiwallcarbonnanotubeXRD: X-raydiffractionSEM: scanningelectronmicroscopyPHE: plateheatexchangerLPM: litterperminute
REFERENCE
1. S.U.S. Choi, DevelopmentsApplications ofNon-NewtonianFlows,Vol.1,(1995),pp.99-105.
2. A.K.Tiwari,P.Ghosh,andJ.Sarkar,ExperimentalThermalandFluidScience,Vol.49,(2013),pp.141-151.
3. B. R. Lazarus Godson, D. Mohan Lal, and S.Wongwises, Renewable and Sustainable EnergyReviews,Vol.1,(2010),pp.641-629.
4. S. K. a. A. Pramuanjaroenkij, Heat and Mass Transfer,Vol.52,(2009),pp.3187–3196,.
5. J. Sarkar, Renewable and Sustainable EnergyReviews,Vol.15,(2011),pp.3271-3277.
6. A.S.M.X.-Q.Wang,areview,Vol.3,(2007),pp.1–19.
7. L. G. Yao Y, Ciston S, Lueptow RM, Gray KA,EnvironSciTechnol,Vol.42,(2008),pp.7-13.
8. D.Eder,MaterialsScienceandMetallurgy,Vol.2,(2010),pp.15-27.
9. X.Yan,D.Pan,Z.Li,B.Zhao,J.Zhang,andM.Wu,MaterialsLetters,Vol.64,(2010),pp.1694-1697.
10. A. D. M. Goran D. Vukovi, Sreco D. Skapin,MirjanaÐ.Risti,AleksandraA.Peric-Gruji,PetarS.
International Journal of Nanoscience and Nanotechnology
162
Uskokovi,RadoslavAleksi,ChemicalEngineering,Vol.173,(2011),pp.-23.
11. L. Tian, L.Ye, K. Deng, and L. Zan, Solid StateChemistry,Vol.184,(2011),pp.1465-1471.
12. L. Zhang, Q. Ni, Y. Fu, T. Natsuki, Appl. Surf.Sci,Vol.255,No.15,(2009),pp.7095–7099.
13. B.R.Munson,D.F.Young,T.H.Okiishi,(2002),4ed,JohnWiley&SonsInc,NewYork,pp.41-70.
14. J.H.LienhardIV,AHeatTransferTextbook,seconded., Phlogiston Press, (2002).
15. A.J.L.P.C.Hontoria-Lucas,J.deD.López-González,M.L. Rojas-Cervantes, and R.M. Martín-Aranda,Study,Carbon,Vol.3,(1995),pp.132-141.
16. S.W.D.Pan,B.Zhao,M.Wu,H.Zhang,Y.Wang,Z.Jiao,Li,ChemistryofMaterials,Vol.21,(2009),pp.7-15.
17. K. M. Sankaran Murugesan, Vaidyanathan (Ravi) Subramanian,AppliedCatalysisB:Environmental,Vol.103,(2011),pp.9-18.
18. M. Naraki, S. M. Peyghambarzadeh, S. H.Hashemabadi, and Y. Vermahmoudi, ThermalSciences,Vol.66,(2013),pp.82-90.
Safi,et al.