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Variable Fluid Properties Effects on Hydromagnetic Fluid Flow over an Exponentially Stretching Sheet
Current Issue
Volume 3, 2015
Issue 2 (April)
Pages: 26-33   |   Vol. 3, No. 2, April 2015   |   Follow on         
Paper in PDF Downloads: 49   Since Aug. 28, 2015 Views: 2009   Since Aug. 28, 2015
Authors
[1]
Mostafa A. A. Mahmoud, Department of Mathematics, Faculty of Science, Benha University (13518), Benha, Egypt.
Abstract
In this work, the problem of heat and mass transfer by laminar flow of Newtonian, viscous, electrically conducting fluid past an exponentially stretching permeable sheet with variable heat and mass fluxes in the presence of non-uniform magnetic field is studied The effects of non-uniform heat generation/absorption and thermal radiation are included in the boundary layer equations. Using similarity transformations, the partial differential equations governing the flow are transformed into a system of coupled nonlinear ordinary differential equations which is solved numerically by fourth-order Runge–Kutta method using the shooting technique. The effects of various pertinent parameters on the local skin- friction coefficient, the local Nusselt number and the local Sherwood number are explained graphically and discussed.
Keywords
Exponentially Stretching Sheet, Variable Fluid Properties, Non-Uniform Heat Generation, Thermal Radiation
Reference
[1]
Crane, L.J., "Flow past a stretching sheet," ZAMP 21, pp. 654 (1970).
[2]
Cortell, R., "Effects of viscous dissipation and radiation on the thermal boundary layer over a nonlinearly stretching sheet," Phys. Lett A 372, pp. 631 (2008).
[3]
Ishak, A., Nazar, R. and Pop, I., "Heat transfer over an unsteady stretching permeable surface with prescribed wall temperature," Non linear Anal.: Real world Appl. 10, pp. 2909(2009).
[4]
Mahmoud, M.A.A., "Heat and mass transfer in stagnation-point flow towards a vertical stretching sheet embedded in a porous medium with variable fluid properties and surface slip velocity," Chem. Eng. Comm. 200, pp. 543 (2013).
[5]
Mahmoud, M.A.A., "Thermal radiation effects on MHD flow of a micropolar fluid over a stretching surface with variable thermal conductivity," Physica A. 375, pp. 401 (2007).
[6]
Cortell, R., "Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing, "Fluid Dynamics Research 37, pp. 231(2005).
[7]
Abel, M. S. and Mahesha, N., "Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation," Appl. Math. Model. 32, pp. 1965 (2008).
[8]
Prasad, K.V., Pal, D., Umesh, V., and Rao, N.S.P., "The effect of variable viscosity on MHD viscoelastic fluid flow and heat transfer over a stretching sheet," Commun. Nonlinear Sci. Numer. Simulat. 15, pp. 331(2010).
[9]
Turkyilmazoglu, M., "The analytical solution of mixed convection heat transfer and fluid flow of a MHD viscoelastic fluid over a permeable stretching surface," Inter. J. Mech. Sci. 77, pp. 263 (2013).
[10]
Pal, D., "Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation," Comput. Math. Appl. 66, pp. 1161(2013).
[11]
Magyari, E. and Keller, B., "Heat and mass transfer in the boundary layers on an exponentially stretching continuous surface," J. Phys. D: Appl. Phys. 32, pp. 577 (1999).
[12]
Mandal, I.C. and Mukhopadhyay, S., "Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium," Ain Shams Eng. J. 4, pp. 103 (2013).
[13]
Ahmad, I., Sajid, M., Awan, W., Rafique, M., Aziz, W., Ahmed, M., Abbasi, A. and Taj, M., "MHD flow of a viscous fluid over an exponentially stretching sheet in a porous medium," J. Appl. Math., Article ID 256761, 8 pages (2014).
[14]
Rahman, A., Nadeem, S. and Malik, M.Y., "Boundary layer stagnation -point flow of a third grade fluid over an exponentially stretching sheet," Brazil. J. Chem. Eng. 30, pp. 611(2013).
[15]
Mukhopadhyay, S., Bhattacharyya, K. and Layek, G.C., "Mass transfer over an exponentially stretching porous sheet embedded in a stratified medium," Chem. Eng. Comm. 201, pp. 272(2014).
[16]
Mukherjee, B. and Prasad, N., "Effect of radiation and porosity parameter on hydromagnetic flow due to exponentially stretching sheet in a porous media," Inter. J. Eng. Sci. Tech. 6, pp. 58 (2014).
[17]
Mabood, F., Khan, W.A. and Ismail, A.I.Md., "MHD flow over exponential radiating stretching sheet using homotopy analysis method," J. King Saud Univ.-Eng. Sci., doi:10.1016/j.jksues. 2014.06.001.
[18]
Megahed, A.M., "Numerical solution for variable viscosity and internal heat generation effects on boundary layer flow over an exponentially stretching porous sheet with constant heat flux and thermal radiation," J. Mech. 30, pp. 395(2014).
[19]
Megahed, A. M., “Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity,” Chin. Phys. B 22, 094701(2013).
[20]
Megahed, A. M.,” Variable viscosity and slip velocity effects on the flow and heat transfer of a power-law fluid over a nonlinearly stretching surface with heat flux and thermal radiation,” Rheologica Acta 51, pp. 841 (2012).
[21]
Megahed, A.M., "Flow and heat transfer of a non-Newtonian power-law fluid over a non-linearly stretching vertical surface with heat flux and thermal radiation," Meccanica 02/2015; DOI:10.1007/s11012-015-01143(2015).
[22]
Megahed, A.M., " Variable heat flux effect on magnetohydrodynamic flow and heat transfer over an unsteady stretching sheet in the presence of thermal radiation," Can. J. Phy. 92, pp. 86 (2014).
[23]
Liu, I-C. and Megahed, A. M., “Numerical study for the flow and heat transfer in a thin liquid film over an unsteady stretching sheet with variable fluid properties in the presence of thermal radiation,” J. Mech. 28, pp. 291(2012).
[24]
Khader, M. M. and Megahed, A.M., “Numerical solution for the effect of variable fluid properties on the flow and heat transfer in a non Newtonian Maxwell fluid over an unsteady stretching sheet with internal heat generation,” Ukr. J. Phys. 58, pp. 353 (2013).
[25]
Dimian, M.F. and Megahed, A. M., “Effects of variable fluid properties on unsteady heat transfer over a stretching surface in the presence of thermal radiation,” Ukr. J. Phys. 58, pp. 345 (2013).
[26]
Liu, I-C. and Megahed, A.M., “Homotopy perturbation method for thin film flow and heat transfer over an unsteady stretching sheet with internal heating and variable heat flux,” J. Appl. Math., Article ID 418527, 12 pages (2012).
[27]
Liu, I.-C., Megahed, A.M. and Wang, H.-H., " Heat Transfer in a liquid film due to an unsteady stretching surface with variable heat flux," ASME J. Appl. Mech. 80, 041003 (2013).
[28]
Raptis, A., "Radiation and free convection flow through a porous medium," Inter. Commun. heat mass trans. 25, pp. 289 (1998).
[29]
Bataller, R., "Viscoelastic fluid flow and heat transfer over a stretching sheet under the effects of a non-uniform heat source, viscous dissipation and thermal radiation," Int. J. Heat transfer 50, pp. 3152 (2007).
[30]
Mahmoud, M.A.A. and Megahed, A.M., "Non-uniform heat generation effect on heat transfer of a non-Newtonian power-law fluid over a non-linearly stretching sheet," Meccanica 47, pp. 1131(2012).
[31]
Mahmoud, M.A.A., "Thermal radiation effect on unsteady MHD free convection flow past a vertical plate with temperature-dependent viscosity," Canad. J. Chem. Eng. 87, pp. 47 (2009).
[32]
Nadeem, S. and Awais, M., "Thin film flow of an unsteady shrinking sheet through porous medium with variable viscosity, "Phys. Lett. A 372, pp. 4965 (2008).
[33]
Abel, M.S. and Mahesha, N., "Heat transfer in MHD viscoelastic fluid flow over a stretching sheet with variable thermal conductivity, non-uniform heat source and radiation," Appl. Math. Modell. 32, pp. 1965 (2008).
[34]
Mahmoud, M.A.A., "The effects of variable fluid properties on MHD Maxwell fluids over a stretching surface in the presence of heat generation/absorption," Chem. Eng. Comm. 198, pp. 131(2010).
[35]
Mahmoud, M.A.A. and Waheed, S.E., "Variable fluid properties and thermal radiation effects on flow and heat transfer in micropolar fluid film past moving permeable infinite flat plate with slip velocity," Appl. Math. Mech.-Engl. Ed. 33, pp. 663(2012).
[36]
El-Hawary, H.M., Mahmoud, M.A.A., Abdel-Rahman, R.G. and Elfeshawey, A.S., "Group solution for an unsteady non-Newtonian Hiemenz flow with variable fluid properties and suction/injection," Chinese Phys. B 23, pp. 090203 (2014).
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