Effects of Variable Pressure Gradient on Magnetohydrodynamic flow Between Parallel Plates Considering Variable Transverse Magnetic Fields
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Date
2022
Authors
Kimanthi, Priscilla
Journal Title
Journal ISSN
Volume Title
Publisher
Kenyatta University
Abstract
Analysis of the effects of applying a variable pressure gradient to a magnetohydrodynamic fluid flowing between two parallel plates under the influence of variable transverse magnetic fields was investigated. The study involved a steady, incompressible hydromagnetic fluid flowing through parallel plates. The upper plate was considered porous, moving opposite the fluid flow, while the lower plate remained immovable. The equations governing the flow include the conservation of mass, energy, Navier-Stokes, and electromagnetic equations. The equations were made dimensionless and then solved using the Finite Difference Method. Matrix laboratory (R2018b) was used to solve and analyze the finalized equations for velocity and temperature profiles for various thermo-physical parameters. The final results were illustrated graphically and discussed quantitatively. The results indicated that Reynold's number is inversely proportional to velocity distribution and temperature profile. The increasing magnetic parameter led to increased fluid temperature and decreased velocity profile. Eckert number and Prandtl parameter did not affect velocity profiles. Also, increasing the suction parameter yielded decreased velocity and increased temperature profile. When the pressure gradient was increased, velocity decreased as temperature increased. The temperature of the fluid increased when the Eckert number was increased and decreased as the Prandtl parameter increased. An increase in Hartmann's number yielded a higher temperature profile. The results obtained in this research provide valuable information to different fields, especially in designing and modeling systems in dyeing industries, cooling of automobile moving parts, and extraction of metal industries. Moreover, the findings apply to Magnetodydrodynamic flow through a porous medium, widely used in magnetohydrodynamic power generators, aerodynamic heating, and separation of matter from liquids mixed using a centrifugal separator.
Description
A Research Project Submitted in Partial Fulfillment 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, November 2022.
Keywords
Variable Pressure Gradient, Magnetohydrodynamic, Parallel Plates, Variable Transverse Magnetic, Fields