Magnetohydrodynamic Flow in a Rotating System Over Horizontal Parallel Plates with Mass Transfer in a Porous Media.
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Date
2023-12
Authors
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Publisher
Kenyatta University
Abstract
MHD as a field has got range of applications in real-life situations such as engineering and
industries, polymer processing, glass fibre production, metallurgy, paper production glass
blowing, purifying molten metal and non-metal inclusion, solar energy harvesting, paper
production, cooling the nuclear reactant, and plastic film. This work investigated MHD flow in a
rotating system over horizontal parallel plates with mass transfer in a porous media. The flow is
considered steady and at the same time, the porous plates are stationary. The sheet along the z
direction was considered infinite. The governing equations and the boundary conditions were non dimensionalised. The non-dimensional numbers obtained were; modified Grashof number,
magnetic parameter, Rotational number, and permeability parameter. The resulting equations were
then transformed using the FD method resulting in algebraic matrices that were solved by
computer software (MATLAB) and then analysed for velocity and concentration profile. The
numerical data on concentration and velocity profiles were recorded and presented graphically for
interpretation and discussion. Some of the results revealed that velocity decreases when the
magnetic parameter and Grashof number increase and an increase in Grashof values leads to a
decrease in velocity.
Description
A Research Project Submitted in Partial Fulfilment of the Requirements for the Award of
The Degree of Masters of Science in Applied Mathematics in the School of Pure and
Applied Sciences of Kenyatta University
December, 2023
Supervisor
Dr. Lawrence Njau
Department of Mathematics and Actuarial Science
Kenyatta University
Dr. Maurine Wafula
School of Science and Technology
United States International University