The present work demonstrates entropy generation due to laminar mixed convection of water-based nanofluid past a square cylinder in vertically upward flow. Streamline upwind Petrov–Galerkin (SUPG) based finite element method is used for numerical simulation. Nanosized copper (Cu) and alumina (Al2O3) particles suspended in water are used with Prandtl number (Pr) = 6.2. The range of nanoparticle volume fractions considered is 0–20%. Computations are carried out at a representative Reynolds number (Re) of 100 with Richardson number (Ri) range −0.5 < Ri < 0.5, both values inclusive. For both the nanofluids (Al2O3–water and Cu–water nanofluids), total entropy generation decreases with increasing nanoparticle volume fractions. It is found that for the present case of mixed convection flows with nanofluids, thermal irreversibility is much higher than that of frictional irreversibility. The Bejan number decreases with increasing nanoparticle volume fractions.
Issue Section:
Natural and Mixed Convection
Topics:
Cylinders,
Entropy,
Flow (Dynamics),
Nanofluids,
Water,
Heat transfer,
Convection,
Mixed convection
References
1.
Harlow
, F. H.
, and Fromm
, J. E.
, 1964
, “Dynamics and Heat Transfer in the von Karman Wake of a Rectangular Cylinder
,” Phys. Fluids
, 7
(8
), pp. 1147
–1156
.10.1063/1.17113542.
Chang
, K. S.
, and Sa
, J. Y.
, 1990
, “The Effect of Buoyancy on Vortex Shedding in the Near Wake of a Circular Cylinder
,” J. Fluid Mech.
, 220
, pp. 253
–266
.10.1017/S002211209000324X3.
Biswas
, G.
, Laschefski
, H.
, Mitra
, N. K.
, and Fiebig
, M.
, 1990
, “Numerical Investigation of Mixed Convection Heat Transfer in a Horizontal Channel With Built-in Square Cylinder
,” Numer. Heat Transfer A
, 18
, pp. 173
–188
.10.1080/104077890089447894.
Lecordier
, J. C.
, Browne
, L. W. B.
, Masson
, S. L.
, Dumouchel
, F.
, and Paranthoen
, P.
, 2000
, “Control of Vortex Shedding by Thermal Effect at Low Reynolds numbers
,” Exp. Therm. Fluid Sci.
, 21
, pp. 227
–237
.10.1016/S0894-1777(00)00007-85.
Sharma
, A.
, and Eswaran
, V.
, 2004
, “Effect of Aiding and Opposing Buoyancy on the Heat and Fluid Flow Across a Square Cylinder at Re=100
,” Numer. Heat Transfer A
, 45
, pp. 601
–624
.10.1080/104077804902777986.
Shi
, J. M.
, Gerlach
, D.
, Breuer
, M.
, Biswas
, G.
, and Durst
, F.
, 2004
, “Heating Effect on Steady and Unsteady Horizontal Laminar Flow of Air Past a Circular Cylinder
,” Phys. Fluids
, 16
, pp. 4331
–4345
.10.1063/1.18045477.
Niu
, J.
, Zhu
, Z.
, and Huang
, S.
, 2006
, “Numerical Study of Convective Heat Transfer From Two Identical Square Cylinders Submerged in a Uniform Cross Flow
,” Numer. Heat Transfer A
, 50
, pp. 21
–44
.10.1080/104077805004965478.
Sarkar
, S.
, Dalal
, A.
, and Biswas
, G.
, 2011
, “Unsteady Wake Dynamics and Heat Transfer in Forced and Mixed Convection Past a Circular Cylinder in Cross Flow for High Prandtl Numbers
,” Int. J. Heat Mass Transfer
, 54
, pp. 3536
–3551
.10.1016/j.ijheatmasstransfer.2011.03.0329.
Choi
, S. U. S.
, 1995
, “Enhancing Thermal Conductivity of Fluids With Nanoparticles
,” Developments and Applications of Non-Newtonian Flows
, D. A.
Siginer
and H. P.
Wang
, eds., ASME
, New York
, Vol. FED-231/MD-66, pp. 99
–105
.10.
Das
, S. K.
, Choi
, S. U. S.
, and Patel
, H. E.
, 2006
, “Heat Transfer in Nanofluids—A Review
,” Heat Transfer Eng.
, 27
(10
), pp. 3
–19
.10.1080/0145763060090459311.
Kakac
, S.
, and Pramuanjaroenkij
, A.
, 2009
, “Review of Convective Heat Transfer Enhancement With Nanofluids
,” Int. J. Heat Mass Transfer.
, 52
, pp. 3187
–3196
.10.1016/j.ijheatmasstransfer.2009.02.00612.
Wang
, X.-Q.
, and Mujumdar
, A. S.
, 2007
, “Heat Transfer Characteristics of Nanofluids: A Review
,” Int. J. Therm. Sci.
, 46
, pp. 1
–19
.10.1016/j.ijthermalsci.2006.06.01013.
Choi
, S. U. S.
, 2009
, “Nanofluids: From Vision to Reality Through Research
,” ASME J. Heat Transfer
, 131
, p. 033106
.10.1115/1.305647914.
Bejan
, A.
, 1982
, Entropy Generation Minimization
, CRC Press
, Boca Raton, FL
.15.
Bejan
, A.
, 1979
, “A Study of Entropy Generation in Fundamental Convective Heat Transfer
,” ASME J. Heat Transfer
, 101
, pp. 718
–725
.10.1115/1.345106316.
Baytas
, A. C.
, 2000
, “Entropy Generation for Natural Convection in an Inclined Porous Cavity
,” Int. J. Heat Mass Transfer
, 43
, pp. 2089
–2099
.10.1016/S0017-9310(99)00291-417.
Magherbi
, M.
, Abbasi
, H.
, and Brahim
, A. B.
, 2003
, “Entropy Generation at the Onset of Natural Convection
,” Int. J. Heat Mass Transfer
, 46
, pp. 3441
–3450
.10.1016/S0017-9310(03)00133-918.
Varol
, Y.
, Oztop
, H.
, and Koca
, A.
, 2008
, “Entropy Generation Due to Conjugate Natural Convection in Enclosures Bounded by Vertical Solid Walls With Different Thickness
,” Int. Commun. Heat Mass Transfer
, 35
, pp. 648
–656
.10.1016/j.icheatmasstransfer.2008.01.01019.
Singh
, P. K.
, Anoop
, K. B.
, Sundararajan
, T.
, and Das
, S. K.
, 2010
, “Entropy Generation Due to Flow and Heat Transfer in Nanofluids
,” Int. J. Heat Mass Transfer
, 53
, pp. 4757
–4767
.10.1016/j.ijheatmasstransfer.2010.06.01620.
Tiwari
, R. K.
, and Das
, M. K.
, 2007
, “Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids
,” Int. J. Heat Mass Transfer
, 50
, pp. 2002
–2018
.10.1016/j.ijheatmasstransfer.2006.09.03421.
Oztop
, H. F.
, and Abu-Nada
, E.
, 2008
, “Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled With Nanofluids
,” Int. J. Heat Fluid Flow
, 29
, pp. 1326
–1336
.10.1016/j.ijheatfluidflow.2008.04.00922.
Brinkman
, H. C.
, 1952
, “The Viscosity of Concentrated Suspensions and Solutions
,” J. Chem. Phys.
, 20
, pp. 571
–581
.10.1063/1.170049323.
Xuan
, Y.
, and Li
, Q.
, 2003
, “Investigation on Convective Heat Transfer and Flow Features of Nanofluids
,” ASME J. Heat Transfer
, 125
, pp. 151
–155
.10.1115/1.153200824.
Xuan
, Y.
, Li
, Q.
, and Hu
, W.
, 2003
, “Aggregation Structure and Thermal Conductivity of Nanofluids
,” AIChE J.
, 49
, pp. 1038
–1043
.10.1002/aic.69049042025.
Xuan
, Y.
, Li
, Q.
, Zhang
, X.
, and Fujii
, M.
, 2006
, “Stochastic Thermal Transport of Nanoparticle Suspensions
,” J. Appl. Phys.
, 100
, p. 043507
.10.1063/1.224520326.
Prasher
, R.
, Bhattacharya
, P.
, and Phelan
, P. E.
, 2005
, “Thermal Conductivity of Nanoscale Colloidal Solutions (Nanofluids)
,” Phys. Rev. Lett.
, 94
, p. 025901
.10.1103/PhysRevLett.94.02590127.
Koo
, J.
, and Kleinstreuer
, C.
, 2004
, “A New Thermal Conductivity Model for Nanofluids
,” J. Nanopart. Res.
, 6
, pp. 577
–588
.10.1007/s11051-004-3170-528.
Abu-Nada
, E.
, Ziyad
, K.
, Saleh
, M.
, and Ali
, Y.
, 2008
, “Heat Transfer Enhancement in Combined Convection Around a Horizontal Cylinder Using Nanofluids
,” ASME J. Heat Transfer
, 130
, p. 084505
.10.1115/1.290961629.
Sarkar
, S.
, Ganguly
, S.
, and Biswas
, G.
, 2012
, “Mixed Convective Heat Transfer of Nanofluids Past a Circular Cylinder in Cross Flow in Unsteady Regime
,” Int. J. Heat Mass Transfer
, 55
, pp. 4783
–4799
.10.1016/j.ijheatmasstransfer.2012.04.04630.
Maji
, P. K.
, and Biswas
, G.
, 1999
, “Analysis of Flow in the Spiral Casing Using a Streamline Upwinding Petrov-Galerkin Method
,” Int. J. Numer. Methods Eng.
, 45
, pp. 147
–174
.10.1002/(SICI)1097-0207(19990520)45:2<147::AID-NME581>3.0.CO;2-G31.
Biswas
, G.
, and Sarkar
, S.
, 2009
, “Effect of Thermal Buoyancy on Vortex Shedding Past a Circular Cylinder in Cross Flow at Low Reynolds Numbers
,” Int. J. Heat Mass Transfer
, 52
, pp. 1897
–1912
.10.1016/j.ijheatmasstransfer.2008.08.03432.
Kaluri
, R. S.
, and Basak
, T.
, 2011
, “Analysis of Entropy Generation for Distributed Heating in Processing of Materials by Thermal Convection
,” Int. J. Heat Mass Transfer
, 54
, pp. 2578
–2594
.10.1016/j.ijheatmasstransfer.2011.02.00333.
Ilis
, G. G.
, Mobedi
, M.
, and Sunden
, B.
, 2008
, “Effect of Aspect Ratio on Entropy Generation in a Rectangular Cavity With Differentially Heated Vertical Walls
,” Int. Commun. Heat Mass Transfer
, 35
, pp. 696
–703
.10.1016/j.icheatmasstransfer.2008.02.00234.
Magherbi
, M.
, Abbasi
, H.
, and Ben Brahim
, A.
, 2003
, “Entropy Generation at the Onset of Natural Convection
,” Int. J. Heat Mass Transfer
, 46
, pp. 3441
–3450
.10.1016/S0017-9310(03)00133-935.
Heris
, S. Z.
, Esfahany
, M. N.
, and Etemad
, G.
, 2007
, “Numerical Investigation of Nanofluid Laminar Convective Heat Transfer Through a Circular Tube
,” Numer. Heat Transfer A
, 52
, pp. 1043
–1058
.10.1080/1040778070136441136.
Wen
, D.
, and Ding
, Y.
, 2004
, “Experimental Investigation Into Convective Heat Transfer of Nanofluids at the Entrance Region Under Laminar Flow Conditions
,” Int. J. Heat Mass Transfer
, 47
, pp. 5181
–5188
.10.1016/j.ijheatmasstransfer.2004.07.01237.
Noie
, S. H.
, Heris
S. Z.
, Kahani
, M.
, and Nowee
, S. M.
, 2009
, “Heat Transfer Enhancement Using Al2O3/Water Nanofluid in a Two-Phase Closed Thermosyphon
,” Int. J. Heat Fluid Flow
, 30
, pp. 700
–705
.10.1016/j.ijheatfluidflow.2009.03.001Copyright © 2012 by ASME
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