A NONLINEAR MIXED CONVECTIVE OSCILLATORY FLOW OVER A SEMI-INFINITE VERTICAL PLATE THROUGH POROUS MEDIUM UNDER UNIFORM MAGNETIC FIELD

The objective of the present work is to study the MHD mixed convection flow of an unsteady two-dimensional, laminar, viscous, incompressible fluid along a semi-infinite porous plate embedded in a porous medium with the presence of pressure gradient, thermal radiation field and uniform vertical magnetic field. The governing equations are obtained for the above physical configuration using conservation of mass, momentum and energy. The natures of these equations are non-linear and coupled with each other. Approximate solutions for nonlinear partial differential equations are solved using an analytical approach by double regular perturbation technique. During simplification it is assumed that the free stream consists of a mean velocity and temperature over which are superimposed an exponentially varying with time. The behavior of the velocity and temperature are discussed in detail for various non-dimensional parameters present in the problem. The values are found to be in good agreement with known results.