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Viscous Dissipation, Soret and Dufour Effects on MHD Free Convection Flow of Doubly Stratified Darcy Porous Medium with Internal Heat Generation


Affiliations
1 Department of Engineering Mathematics, GITAM University, Telangana, India
2 Department of Mathematics, NIT Pududchery, Karaikal, India
3 Department of Mathematics, Osmania University, Hyderabad, Telangana, India
     

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In this paper, the steady Magnetohydrodynamic free convection heat and mass transfer from a vertical surface in a doubly stratified Darcian porous medium has been studied. In addition viscous dissipation, internal heat generation, Soret and Dufour effects are presented numerically. The non–linear partial differential equations are transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using implicit Crank–Nicolson finite difference scheme. The effect of various parameters such as Lewis number, magnetic parameter, Buoyancy ratio, Soret number, Dufour number, thermal and solutal stratification and Heat generation parameters on velocity, wall temperature and concentration are analyzed through plots.

Keywords

Natural Convection, Darcy Porous Medium, MHD, Dufour and Soret Effects, Double Stratification, Viscous Dissipation, Heat Generation, Finite Difference Method.
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  • Viscous Dissipation, Soret and Dufour Effects on MHD Free Convection Flow of Doubly Stratified Darcy Porous Medium with Internal Heat Generation

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Authors

K. Govardhan
Department of Engineering Mathematics, GITAM University, Telangana, India
K. Kaladhar
Department of Mathematics, NIT Pududchery, Karaikal, India
Balasiddulu Malga
Department of Engineering Mathematics, GITAM University, Telangana, India
G. Nagaraju
Department of Engineering Mathematics, GITAM University, Telangana, India
S. Renuka
Department of Mathematics, Osmania University, Hyderabad, Telangana, India

Abstract


In this paper, the steady Magnetohydrodynamic free convection heat and mass transfer from a vertical surface in a doubly stratified Darcian porous medium has been studied. In addition viscous dissipation, internal heat generation, Soret and Dufour effects are presented numerically. The non–linear partial differential equations are transformed by a similarity transformation into a system of ordinary differential equations, which is solved numerically by using implicit Crank–Nicolson finite difference scheme. The effect of various parameters such as Lewis number, magnetic parameter, Buoyancy ratio, Soret number, Dufour number, thermal and solutal stratification and Heat generation parameters on velocity, wall temperature and concentration are analyzed through plots.

Keywords


Natural Convection, Darcy Porous Medium, MHD, Dufour and Soret Effects, Double Stratification, Viscous Dissipation, Heat Generation, Finite Difference Method.

References