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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v19.i8.40
pages 701-722

APPLICATION OF FINITE ELEMENT METHOD TO UNSTEADY MAGNETOHYDRODYNAMIC FREE-CONVECTION FLOW PAST A VERTICALLY INCLINED POROUS PLATE INCLUDING THERMAL DIFFUSION AND DIFFUSION THERMO EFFECTS

R. Srinivasa Raju
Department of Mathematics, GITAM University, Hyderabad Campus, Rudraram, Medak (Dt), 502329, Telangana State, India
B. Mahesh Reddy
Department of Mathematics, Bandari Srinivas Institute of Technology, Gollapally (Village), Chevella (Mandal), Ranga Reddy (District), 501503, Telangana State, India
Mohammad Mehdi Rashidi
Tongji University
https://www.mendeley.com/profiles/mohammad-mehdi-rashidi/
Rama Subba Reddy Gorla
Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115 USA; Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA; Department of Mechanical & Civil Engineering, Purdue University Northwest, Westville, IN 46391, USA

RÉSUMÉ

In this analysis, thermal diffusion (Soret) and diffusion thermo (Dufour) effects have been discussed on unsteady magnetohydrodynamic free-convection heat and mass transfer flow on a viscous, incompressible, electrically conducting fluid past a semi-infinite inclined vertical porous plate, moving with a uniform velocity with chemical reaction and thermal radiation. The fluid considered here is a gray, absorbing/emitting radiation but a non-scattering medium. It is assumed that the effect of viscous dissipation is negligible in the energy equation and there is a first-order chemical reaction between the diffusing species and the fluid. The non-linear partial differential equations governing the flow have been solved numerically using the finite element method (FEM). We have examined the effects of different controlling parameters, namely, Soret number, Dufour number, magnetic field parameter, Grashof number for heat and mass transfer, permeability parameter, thermal radiation parameter, Prandtl number, Schmidt number, angle of inclination of the plate, and chemical reaction parameter on the flow field and heat transfer characteristics. Graphical display of the numerical examination is performed to illustrate the influence of various flow parameters on the velocity, temperature and concentration profiles, skin-friction, rate of heat, and mass transfer coefficients. The present study has several applications in coating and suspensions, paper production, heat exchangers technology, materials processing exploiting, drying, evaporation at the surface of water body, etc.


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