Effect of Radiation on Unsteady MHD Flow of a Chemically Reacting Fluid Past a Hot Vertical Porous Plate: A Finite Difference Approach

Abstract

The paper deals with the effect of radiation on unsteady free convention flow of a viscous, incompressible, electrically conducting fluid past an infinite hot vertical porous plate embedded in porous medium. A magnetic field of uniform strength is applied normal to the fluid flow. Chemical reaction, viscous dissipation and Heat generation/absorption effects are included. Temperature of the plate is assumed to be span wise cosinusoidally fluctuating with time. In order to establish a mathematical convenience of converging the solution at a finite point ( ), the governing equations of the problem are transformed to a new system of co-ordinates and then resulting equations are reduced to coupled non-linear ordinary differential equations of zeroth and first order, using appropriate perturbation technique. These zeroth and first order equations are solved numerically by making use of finite difference method and the simulation is carried out by coding in C-Program. Graphical results for velocity, temperature and concentration fields are presented and discussed at various parametric conditions. A research finding of this study, achieved that the temperature and velocity profiles are observed to be decreasing with the increasing values of radiation parameter.