Numerical simulation of MHD flow and heat transfer over a permeable stretching surface in a porous medium with variable parameters using FEM/EFGM

摘要

The present paper deals with the study of thermal radiation effect on unsteady flow and heat transfer characteristics of viscous fluid with variable viscosity over a porous stretching sheet placed in a porous medium in the presence of viscous dissipation. A uniform magnetic field is applied transversely to the direction of the flow. Similarity transformations are used to convert the governing time dependent nonlinear boundary layer equations into a system of non-linear ordinary differential equations which are solved numerically by finite element method (FEM) and element free Galerkin method (EFGM). The influence of unsteadiness parameter (S), temperature-dependent fluid viscosity parameter (A) and radiation parameter (R), on the velocity and temperature profiles are shown graphically. The impact of radiation parameter on heat transfer rate is also shown. The present problem finds application in polymer production, metal casting etc.