Numerical Computation Of Steady Buoyancy Driven Mhd Heat And Mass Transfer Past An Inclined In_Nite Flat Plate With Sinusoidal Surface Boundary Conditions

Abstract

In this paper we study the eects 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 dierential equations (PDEs) under a set of

appropriate boundary conditions. The PDEs are transformed into ordi-

nary dierential 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 signicantly 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.

Keywords: Buoyancy driven

ow, Inclined plate, MHD, shooting tech-

nique, Runge-Kutta method, heat and mass transfer, viscous dissipation

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