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

摘要

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, Grash of 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.