EFFECT OF THERMAL-DIFFUSION IN THE PRESENCE OF MAGNETIC FIELD ON THREE-DIMENSIONAL POROUS FLOW
KOTAGIRI SRIHARI *
Department of Mathematics, Mahatma Gandhi Institute of Technology, Gandipet, Hyderabad, Telangana State, India.
Sreyas Institute of Technology, Bandlaguda Hyderabad, Telangana State, India.
*Author to whom correspondence should be addressed.
The present article addresses the effect of Soret number variation in the presence of magnetic field on free-convection flow of a viscous incompressible fluid through a porous medium bounded by an infinite vertical porous plate with periodic permeability. A magnetic field is applied normal to the flow. Obtaining closed form solution for this type of 3-D flow problems is very difficult due to its high degree of non-linearity. So the problem is solved using finite difference and perturbation methods, for which numerical code is executed using C-Program. The results obtained for velocity, temperature and concentration are discussed and analyzed graphically. It is observed that the velocity and the Solutal boundary layer thickness increase for increasing values of Soret number. Soret effect greatly influences the temperature profile in the solutal boundary layer. The velocity decreases in the presence of magnetic field.
Keywords: Thermal-diffusion, porous medium, periodic permeability, finite deference method