UNSTEADY MAGNETOHYDRODYNAMIC CHEMICALLY REACTING FLUID FLOW PAST AN INCLINED VERTICAL PERMEABLE MOVING PLATE

Convergence analysis and grid independence of the finite element method on unsteady two-dimensional magnetohydrodynamic, viscous, incompressible, electrically conducting fluid flow past a vertically inclined semi-infinite permeable moving plate in the presence of chemical reaction is studied. It is assumed that, in the direction of the fluid flow, the plate is moving with an unvarying velocity. The fundamental dimensionless governing coupled nonlinear partial differential equations are solved by using an efficient finite element method. With the help of nondimensional pertinent parameters, the numerical results of velocity, temperature, and concentration distributions of the fluid as well as skin-friction, rate of heat, and mass transfer coefficients are discussed and displayed graphically. The chemical reaction parameter decreases the velocity and concentration profiles, whereas the temperature of the fluid is not significant with an increase of chemical reaction parameter. As a result of radiation absorption, the temperature and velocity profiles enhance rapidly. The influence of Prandtl number and heat source are opposite on velocity and temperature fields. The rate of convergence and grid independence study of the finite element method are discussed through tabular forms. Comparisons with previously published work on special cases of the problem are obtained and are observed to be in accord.