Thermal Radiation, Chemical Reaction, Viscous and Joule Dissipation Effects on MHD Flow Embedded in a Porous Medium

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An analysis is presented to study the effects of thermal radiation, chemical reaction, viscous and Joule dissipation on MHD free convection flow between a pair of infinite vertical Couette channel walls embedded in a porous medium. The fluid flows by a strong transverse magnetic field imposed perpendicularly to the channel wall on the assumption of a small magnetic Reynolds number. The governing non linear partial differential equations are transformed in to ordinary differential equations and are solved analytically. The effect of various parameters viz., Eckert number, electric conductivity, dynamic viscosity and strength of magnetic field on temperature profile has been discussed and presented graphically.

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  • [1] Attia H.A. and Abdeen M.A.M. (2012): Unsteady MHD flow and heat transfer between parallel porous plates with exponential decaying pressure gradient. – Kragujevac J. Sci. vol.34 pp.15-22.

  • [2] Das S. Jana M. and Jana R.N. (2011): Couette flow through porous medium in a rotating system. – International Journal of Mathematical Archive vol.2 No.11 pp.2318-2326.

  • [3] Attia H.A. and Ewis K.M. (2010): Unsteady MHD Couette flow with heat transfer of a viscoelastic fluid under exponential decaying pressure gradient. – Tamkang Journal of Science and Engineering vol.13 No.4 pp.359-364.

  • [4] Chamkha A.J. (2002): On laminar hydromagnetic mixed convection flow in a vertical channel with symmetric and asymmetric wall heating conditions. – Int. J. Heat Mass Transfer vol.45 pp.2509-2525.

  • [5] Singh A.K. (1988): Natural convection in unsteady Couette motion. – Def. Sci. J. vol.38 No.1 pp.35-41.

  • [6] Jha B.K. (2001): Natural convection in unsteady MHD Couette flow. – Heat and Mass Transfer vol.37 pp.329-331.

  • [7] Rajput U.S. and Sahu P.K. (2012): Natural convection in unsteady hydromagnetic Couette flow through a vertical channel in the presence of thermal radiation. – Int. J. of Appl. Math and Mech. vol.8 No.3 pp.35-56.

  • [8] Job V.M. and Gunakala S. Rao (2013): Unsteady MHD free convection Couette flow through a vertical channel in the presence of thermal radiation with viscous and Joule dissipation effects using Galerkin finite element method. – International Journal of Application or Innovation in Engineering and Management vol.2 No.9 pp.50-61.

  • [9] Zigta B. and Koya P.R. (2017): The effect of MHD on free convection with periodic temperature and concentration in the presence of thermal radiation and chemical reaction. – International Journal of Applied Mechanics and Engineering vol.22 No.4 pp.1059-1073 DOI: 10.1515/ijame-2017-0068.

  • [10] Nield D.A. and Bejan A. (1998): Convection in Porous Media. – 2nd edition Berlin: Springer Verlag.

  • [11] Singh A.K. (2002): MHD free convective flow through a porous medium between two vertical parallel plates. – Ind. J. Pure and Appl. Phys. vol.40 pp.709–713.

  • [12] Helmy K.A. (1998): MHD unsteady free convective flow past a vertical porous plate. – Journal of Applied Mathematics and Mechanics vol.78 pp.255-270.

  • [13] Hossain Md. Anwar and Pop I. (2001): Radiation effects on free convection over a vertical flat plate embedded in a porous medium with high porosity. – International Journal of Thermal Sciences vol.40 pp.289-295.

  • [14] Ibrahim S.Y. and Makinde O.D. (2011): Radiation effect on chemically reacting MHD boundary layer flow of heat and mass transfer through a porous vertical flat plate. – International Journal of Physical Sciences vol.6 pp.1508-1516.

  • [15] Manna S.S. Das S. and Jana R.N. (2012): Effects of radiation on unsteady MHD free convective flow past an oscillating vertical porous plate embedded in a porous medium with oscillatory heat flux. – Advance in Applied Science Research vol.3 pp.3722-3736.

  • [16] Elbashbeshy E.M.A. Yassmin D.M. and Dalia A.A. (2010): Heat transfer over an unsteady porous stretching surface embedded in a porous medium with variable heat flux in the presence of heat source or sink. – African Journal of Mathematics and Computer Science Research vol.3 No.5 pp.68-73.

  • [17] Angirasa D. Peterson G.P. and Pop I. (1997): Combined heat and mass transfer by natural convection with opposing buoyancy effects in a fluid saturated porous medium. – Int. J. Heat Mass Trans. vol.40 No.12 pp.2755-2773.

  • [18] Brewster M.A (1992): Thermal Radiative Transfer and Properties. – New York: John Wiley and Sons.

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