Numerical Computation of Steady Buoyancy Driven MHD Heat and Mass Transfer Past An Inclined Infinite Flat Plate with Sinusoidal Surface Boundary Conditions
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2007Author
Manyonge, Alfred W
Otieno, Opiyo R
Bitok, Jacob K
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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.