Numerical Computation of Steady Buoyancy Driven MHD Heat and Mass Transfer Past An Inclined Infinite Flat Plate with Sinusoidal Surface Boundary Conditions

Abstract

In this paper we study the e ects of magnetohydrodynamics (MHD)

uid ow on a two dimensional boundary layer ow of a steady free convection heat and mass transfer on an inclined plate in which the angle of inclination is varied. The uid is taken as viscous, incom- pressible, electrically conducting. The mathematical formulation yields a set of governing partial di erential equations (PDEs) under a set of appropriate boundary conditions. The PDEs are transformed into ordi- nary di erential equations (ODEs) by some similarity transformation. The ODEs are solved using the shooting method with the fourth or- der Runge-Kutta numerical method together with the Secant technique of root nding to determine their solutions. Graphical representation of the temperature, concentration and velocity elds and various other pertinent parameters such as Schmidt number Sc, Grashof number Gr, Eckert number Er for both mass and heat ow, and angle of inclination 712 Opiyo Richard Otieno, Alfred W. Manyonge and Jacob K. Bitok are presented and discussed. This study established that the ow eld and other quantities of physical interest are signi cantly in uenced by these parameters. In particular, it is found that the velocity increases with an increase in the thermal and solutal Grashof numbers. The ve- locity and concentration of the uid decreases with an increase in the Schmidt number.