Numerical Solutions for Boundary Layer Fluid Flow with Mass Transfer over a Moving Permeable Flat Plate Embedded in Porous Medium with Variable Wall Concentration in Presence of Chemical Reaction

摘要

An analysis is made to study the mass transfer in boundary layer flow past a moving permeable flat plate embedded in porous medium with variable wall concentration in presence of chemical reaction. The governing nonlinear partial differential equations are transformed into a set of ordinary differential equations by using similarity transformations. The numerical computations are carried out for several values of physical parameters involved in the transformed equations. The resulting nonlinear system of partial differential equations are solved numerically by both Keller-Box method which is an implicit finite difference method and by the numerical method based on fourth order Runge-Kutta iteration scheme with shooting method. The features of the flow and mass transfer characteristics for different values of the governing parameters are analyzed and discussed. To support the accuracy of the numerical results, a comparison is made with known results from the open literature for some particular cases of the present study and the results are found to be in excellent agreement for the used numerical methods. It is found that the existence of dual solutions exists when the surface and the fluid move in opposite directions. The results indicate that the increase of porous parameter decreases the variation of a velocity profiles and the variation of a skin friction coefficient while it increases both concentration profiles and concentration gradient at the surface. It is due to the presence of a porous medium which increases the resistance to flow resulting in decrease in the flow velocity and increase in the solute concentration.