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
Otieno, O (2021). Numerical Computation Of Steady Buoyancy Driven Mhd Heat And Mass Transfer Past An Inclined In_Nite Flat Plate With Sinusoidal Surface Boundary Conditions. Afribary. Retrieved from https://afribary.com/works/numerical-computation-of-steady-buoyancy-driven-mhd-heat-and-mass-transfer-past-an-inclined-in-nite-flat-plate-with-sinusoidal-surface-boundary-conditions
Otieno, Opiyo "Numerical Computation Of Steady Buoyancy Driven Mhd Heat And Mass Transfer Past An Inclined In_Nite Flat Plate With Sinusoidal Surface Boundary Conditions" Afribary. Afribary, 05 May. 2021, https://afribary.com/works/numerical-computation-of-steady-buoyancy-driven-mhd-heat-and-mass-transfer-past-an-inclined-in-nite-flat-plate-with-sinusoidal-surface-boundary-conditions. Accessed 29 Apr. 2024.
Otieno, Opiyo . "Numerical Computation Of Steady Buoyancy Driven Mhd Heat And Mass Transfer Past An Inclined In_Nite Flat Plate With Sinusoidal Surface Boundary Conditions". Afribary, Afribary, 05 May. 2021. Web. 29 Apr. 2024. < https://afribary.com/works/numerical-computation-of-steady-buoyancy-driven-mhd-heat-and-mass-transfer-past-an-inclined-in-nite-flat-plate-with-sinusoidal-surface-boundary-conditions >.
Otieno, Opiyo . "Numerical Computation Of Steady Buoyancy Driven Mhd Heat And Mass Transfer Past An Inclined In_Nite Flat Plate With Sinusoidal Surface Boundary Conditions" Afribary (2021). Accessed April 29, 2024. https://afribary.com/works/numerical-computation-of-steady-buoyancy-driven-mhd-heat-and-mass-transfer-past-an-inclined-in-nite-flat-plate-with-sinusoidal-surface-boundary-conditions