We performed a study for the effect of Newtonian heating on the nonsimilar mixed convection Falkner–Skan flow of a Maxwell fluid. Transformation procedure is adopted in obtaining the ordinary differential equations. Homotopic approach is adopted for the series solutions of velocity and temperature. Special emphasis is given to the effects of Prandtl number (Pr) and conjugate parameter (γ) which measure the strength of surface heating. It is observed that temperature and heat transfer rate are enhanced by increasing the conjugate parameter.
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References
1.
Fetecau
, C.
, Mahmood
, M.
, and Jamil
, M.
, 2010
, “Exact Solutions for the Flow of a Viscoelastic Fluid Induced by a Circular Cylinder Subject to a Time Dependent Shear Stress
,” Commun. Nonlinear Sci. Numer. Simul.
, 15
, pp.
3931
–3938
.10.1016/j.cnsns.2010.01.0122.
Hayat
, T.
, Qasim
, M.
, and Abbas
, Z.
, 2010
, “Radiation and Mass Transfer Effects on the Magnetohydrodynamic Unsteady Flow Induced by a Stretching Sheet
,” Z. Naturforsch.
, 65
, pp.
231
–239
.3.
Hayat
, T.
, Mustafa
, M.
, and Mesloub
, S.
, 2010
, “Mixed Convection Boundary Layer Flow Over a Stretching Surface Filled With a Maxwell Fluid in Presence of Soret and Dufour Effects
,” Z. Naturforsch.
, 65a
, pp.
401
–410
.4.
Cortell
, R.
, 2011
, “Suction, Viscous Dissipation and Thermal Radiation Effects on the Flow and Heat Transfer of a Power-Law Fluid Past an Infinite Porous Plate
,” Chem. Eng. Res. Des.
, 89
, pp.
85
–93
.10.1016/j.cherd.2010.04.0175.
Zheng
, L.
, Zhao
, F.
, and Zhang
, X.
, 2010
, “Exact Solutions for Generalized Maxwell Fluid Flow Due to Oscillatory and Constantly Accelerating Plate
,” Nonlinear Anal.: Real World Appl.
, 11
, pp.
3744
–3751
.10.1016/j.nonrwa.2010.02.0046.
Wang
, S.
, and Tan
, W. C.
, 2008
, “Stability Analysis of Double-Diffusive Convection of Maxwell Fluid in a Porous Medium Heated From Below
,” Phys. Lett. A.
, 372
, pp.
3046
–3050
.10.1016/j.physleta.2008.01.0247.
Abbasbandy.
S.
, and Hayat
, T.
, 2009
, “Solution of the MHD Falkner-Skan Flow by Hankel-Pade Method
,” Phys. Lett. A.
, 373
, pp.
731
–734
.10.1016/j.physleta.2008.12.0458.
Fang
, T.
, and Zhang
, J.
, 2008
, “An Exact Analytic Solution of the Falkner-Skan Equation With Mass Transfer and Wall Stretching
,” Int. J. Non-Linear Mech.
, 43
, pp.
1000
–1006
.10.1016/j.ijnonlinmec.2008.05.0069.
Yao
, B.
, 2009
, “Approximate Analytic Solution of the Falkner-Skan Wedge Flow With Permeable of Uniform Suction
,” Commun. Nonlinear Sci. Numer. Simul.
, 14
, pp.
3320
–3326
.10.1016/j.cnsns.2009.01.01410.
Hayat
, T.
, Hussain
, M.
, Nadeem
, S.
, and Mesloub
, S.
, 2011
, “Falkner–Skan Wedge Flow of a Power-Law Fluid With Mixed Convection and Porous Medium
,” Comput. Fluids
, 49
(1
), pp.
22
–28
.10.1016/j.compfluid.2011.01.02011.
Srinivas
, S.
, and Muthuraj
, R.
, 2010
, “Effects of Thermal Radiation and Space Porosity on MHD Mixed Convection Flow in a Vertical Channel Using Homotopy Analysis Method
,” Commun. Nonlinear Sci. Numer. Simul.
, 15
, pp.
2098
–2108
.10.1016/j.cnsns.2009.09.00312.
Muhaimin
, I.
, Kandasamy
, R.
, and Hashim
, I.
, 2009
, “Thermophoresis and Chemical Reaction Effects on Non-Darcy MHD Mixed Convection Heat and Mass Transfer Past a Porous Wedge in the Presence of Variable Stream Condition
,” Chem. Eng. Res. Des.
, 87
, pp.
1527
–1535
.10.1016/j.cherd.2009.04.00513.
Hayat
, T.
, Mustafa
, M.
, and Pop
, I.
, 2010
, “Heat and Mass Transfer for Soret and Dufour's Effect on Mixed Convection Boundary Layer Flow Over a Stretching Vertical Surface in a Porous Medium Filled With a Viscoelastic Fluid
,” Commun. Nonlinear Sci. Numer. Simul.
, 15
, pp.
1183
–1196
.10.1016/j.cnsns.2009.05.06214.
Aydn
, O.
, and Kaya
, A.
, 2010
, “Mixed Convection of a Viscous Dissipating Fluid About a Vertical Flat Plate
,” Appl. Math. Model.
, 31
, pp.
843
–853
.10.1016/j.apm.2005.12.01515.
Hsiao
, K.
, 2011
, “Unsteady Mixed Convection Viscoelastic Flow and Heat Transfer in a Thin Film Flow Over a Porous Stretching Sheet With Internal Heat Generation
,” Int. J. Phys. Sci.
, 6
, pp.
5080
–5090
.16.
Hsiao
, K.
, 2011
, “MHD Mixed Convection for Viscoelastic Fluid Past a Porous Wedge
,” Int. J. Nonlinear Mech.
, 46
, pp.
1
–8
.10.1016/j.ijnonlinmec.2010.06.00517.
Hsiao
, K.
, 2010
, “Heat and Mass Mixed Convection for MHD Viscoelastic Fluid Past a Stretching Sheet With Ohmic Dissipation
,” Commun. Nonlinear Sci. Numer. Simul.
, 15
, pp.
1803
–1812
.10.1016/j.cnsns.2009.07.00618.
Hsiao
, K.
, and Hsu
, C. H.
, 2009
, “Conjugate Heat Transfer of Mixed Convection for Viscoelastic Fluid Past a Triangular Fin
,” Nonlinear Anal.: Real World Appl.
, 10
, pp.
130
–143
.10.1016/j.nonrwa.2007.08.01819.
Merkin
, J. H.
, 1994
, “Natural-Convection Boundary-Layer Flow on a Vertical Surface With Newtonian Heating
,” Int. J. Heat Fluid Flow
, 15
, pp.
392
–398
.10.1016/0142-727X(94)90053-120.
Salleh
, M. Z.
, Nazar
, R.
, and Pop
, I.
, 2009
, “Forced Convection Boundary Layer Flow at a Forward Stagnation Point With Newtonian Heating
,” Chem. Eng. Commun.
, 196
, pp.
987
–996
.10.1080/0098644090279784021.
Salleh
, M. Z.
, Nazar
, R.
, and Pop
, I.
, 2010
, “Mixed Convection Boundary Layer Flow Over a Horizontal Circular Cylinder With Newtonian Heating
,” Heat Mass Transfer
, 46
, pp.
1411
–1418
.10.1007/s00231-010-0662-y22.
Salleh
, M. Z.
, and Nazar
, R.
, 2010
, “Free Convection Boundary Layer Flow Over a Horizontal Circular Cylinder With Newtonian Heating
,” Sains Malays
, 39
, pp.
671
–676
23.
Lesnic
, D.
, Ingham
, D. B.
, and Pop
, I.
, 1999
, “Free Convection Boundary Layer Flow Along a Vertical Surface in a Porous Medium With Newtonian Heating
,” Int. J. Heat Mass Transfer
, 42
, pp.
2621
–2627
.10.1016/S0017-9310(98)00251-824.
Pop
, I.
, Lesnic
, D.
, and Ingham
, D. B.
, 2000
, “Asymptotic Solutions for the Free Convection Boundary-Layer Flow Along a Vertical Surface in a Porous Medium With Newtonian Heating
,” Hybrid Methods Eng.
, 2
, pp.
31
–40
.25.
Chaudhary
, R. C.
, and Jain
, P.
, 2007
, “An Exact Solution to the Unsteady Free-Convection Boundary-Layer Flow Past an Impulsively Started Vertical Surface With Newtonian Heating
,” J. Eng. Phys. Thermo.
, 80
, pp.
954
–960
.10.1007/s10891-007-0127-426.
Liao
, S. J.
, 2009
, “Notes on the Homotopy Analysis Method: Some Definitions and Theorems
,” Commun. Nonlinear Sci. Numer. Simul.
, 14
, pp.
983
–997
.10.1016/j.cnsns.2008.04.01327.
Abbasbandy
, S.
, and Hayat
, T.
, 2011
, “On Series Solution for Unsteady Boundary Layer Equations in a Special Third Grade Fluid
,” Commun. Nonlinear Sci. Numer. Simul.
, 16
, pp.
3140
–3146
.10.1016/j.cnsns.2010.11.01828.
Rashidi
, M. M.
, and Pour
, S. A. M.
, 2010
, “Analytic Approximate Solutions for Unsteady Boundary-Layer Flow and Heat Transfer Due to a Stretching Sheet by Homotopy Analysis Method
,” Nonlinear Anal.: Model. Control
, 15
(1
), pp.
83
–95
.29.
Hayat
, T.
, Iqbal
, Z.
, Mustafa
, M.
, and Obaidat
, S.
, 2012
, “Flow and Heat Transfer of Jeffery Fluid Over a Continuously Moving Surface With a Parallel Free Stream
,” ASME J. Heat Transfer
, 134,
p. 011701
.10.1115/1.400474430.
Hossain
, M. A.
, Bhowmick
, S.
, and Gorla
, R. S. R.
, 2006
, “Steady Mixed-Convection Boundary Layer Flow Along a Symmetric Wedge With Variable Surface Temperature
,” Int. J. Eng. Sci.
, 44
, pp.
607
–620
.10.1016/j.ijengsci.2006.04.00731.
Kuo
, B.
, 2005
, “Heat Transfer Analysis for the Falkner–Skan Wedge Flow by the Differential Transformation Method
,” Int. J. Heat Mass Transfer
, 48
, pp.
5036
–5046
.10.1016/j.ijheatmasstransfer.2003.10.04632.
White
, F. M.
, 1991
, Viscous Fluid Flow
, 2nd ed., McGraw-Hill
, New York
, pp.
242
–249
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