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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 4
First page : ( 605) Last page : ( 613)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00103.6

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

Govardhan K.1, Kaladhar K.2, Malga Balasiddulu1,*, Nagaraju G.1, Renuka S.3

1Department of Engineering Mathematics, GITAM University, Telangana

2Department of Mathematics, NIT Pududchery, Karaikal

3Department of Mathematics, Osmania University, Hyderabad, Telangana

*Corresponding Author E-mail: drbsmalga@gmail.com

Online published on 12 June, 2018.

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.

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Keywords

Natural convection, Darcy porous medium, MHD, Dufour and Soret effects, Double stratification, Viscous dissipation, heat generation, finite difference method.

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