Numerical investigation of an unsteady magnetohydrodynamic boundary layer flow over a permeable surface with suction and chemical reaction

Abstract

This work investigates an unsteady magnetohydrodynamics(MHD) of an electrically conducting boundary layer flow over a permeable vertical surface with suction and chemical reaction. Appropriate similarity variables are used to transform the time-dependent system of partial differential equations governing the fluid flow to a boundary value problem of coupled ordinary differential equations and the problem is solved numerically using a fourth order Runge-Kutta-Fehlberg integration scheme with shooting method. The influence of various thermophysical parameters in the flow field on velocity and temperature profiles, Skin friction, Nusselt number, suction and chemical reaction are presented graphically and discussed quantitatively. The computational results of the Skin friction and nusselt number for this work are in excellent agreement with extended work in literature. Results show that increase in suction parameter decrease the momentum boundary layer with the profile tending asymptotically to free stream value away from the plate thereby increasing the fluid motion in the boundary layer region. The fluid concentration is highest at the surface and decreases exponentially to the free stream zero value satisfying the prescribed far field boundary condition.