• UNSTEADY MAGNETOHYDRODYNAMIC FREE CONVECTIVE RADIATING VISCOUS DISSIPATIVE FLUID FLOW ALONG A SEMI INFINITE VERTICAL POROUS PLATE WITH HEAT SOURCE

MAMTA THAKUR*

Abstract


An unsteady hydromagnetic flow of free convective radiating, viscous dissipative fluid along a semi infinite vertical plate embedded in a porous medium with heat source has been investigated. The fluid is considered to be a gray, absorbing emitting but non – scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The dimensionless governing coupled, non – linear boundary layer partial differential equations are solved by an efficient finite element method. The effects of flow parameters like, thermal Grashof number, solutal Grashof number, Hartmann number, Permeability parameter, thermal radiation parameter, Prandtl number, Schmidt number, Heat source parameter and Eckert number on the velocity, temperature and concentration are illustrated graphically. The forms of the wall shear stress, Nusselt number and Sherwood number are derived and the results are shown through graphical representations. This present problem finds applications in magnetic pumps, controlled fusion research, crystal growing, MHD Couples and Bearings, Plasma Jets, Chemical Synthesis, etc.


Keywords


MHD, Thermal radiation, Free convection, Porous medium, Viscous dissipation, Heat source and Finite element method.

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