Heat and Mass Transfer in Magnetohydrodynamics Flow About a Horizontal Plate Past, a Finite Porous Plate
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Date
2020-09
Authors
Luke, Harun Mutwiri
Journal Title
Journal ISSN
Volume Title
Publisher
Kenyatta University
Abstract
An investigation of heat and mass transfer in MHD
ow about a horizontal plate
past nite plate, in a porous medium was carried out. The e ect of magnetic eld
on mass and heat transfer was investigated. The study was governed by Navier-
stokes equations, energy equation, Ohm's law and concentration equation. These
equations were formulated inform of partial di erential equations to represent the
general phenomena of mass and heat. Then, the general equations were modi ed
into speci c equations to meet the objectives of the study. The resulting speci c
operational equations of Navier -Stokes, energy and concentration were found to
be non linear hence, they were transformed into dimensionless form by substituting
the non dimensional parameters. The discretization process was carried out for the
dimensionless equations using implicit nite di erence method. The subsequent dis-
creet equations were solved using Matlab computer program which was written to
meet the purpose of the study. The results obtained were presented graphically for
various values of the physical parameters. The e ects of magnetic eld on dimen-
sionless velocity , temperature , concentration and skin friction were studied. The
values of magnetic parameter M were varied from 2 to 5 with an interval of one unit
and the corresponding e ects on mass and heat transfer obtained. We established
that magnetic eld is directly proportional to the temperature pro le, velocity pro-
le, skin-friction and increase in magnetic eld led to a decrease in concentration
pro le. The increase in magnetic parameter M had accelerated e ect on velocity
pro le, temperature pro le and skin-friction. These results can be used by engineers
and scientists in selecting appropriate materials used to design devices which involve
magnetic eld. The ndings may also be useful when designing propulsion devices
for propelling aircraft, missiles, satellites and in chilling of nuclear reactor.
Description
Department of Mathematics a Project Submitted in Partial Fulfillment of the Requirement for The Award of the Degree of Master of Science in Applied Mathematics in the School of Pure and Applied Sciences of Kenyatta University September, 2020
Keywords
Heat and Mass Transfer, Magnetohydrodynamics, Horizontal Plate Past, Finite Porous Plate