UNSTEADY MHD POISEUILLE FLOW THROUGH A POROUS CHANNEL UNDER AN OSCILLATING PRESSURE GRADIENT AND UNIFORM SUCTION/INJECTION
Judith N. Balkissoon1*, Sreedhara Rao Gunakala2 and Victor M. Job3
1,2,3Faculty of Science and Technology, The University of the West Indies, Trinidad
1Email: judith.balkissoon@my.uwi.edu *(Corresponding author)
2Email: Sreedhara.Rao@sta.uwi.edu
3Email: victor.job@sta.uwi.edu
Abstract:
The unsteady magnetohydrodynamic Poiseuille flow of a viscous, incompressible, hydromagnetic fluid through a porous channel, bounded by two horizontal plates under an oscillating pressure gradient, is studied. The Brinkman's equation is used to model the flow and the Galerkin Finite Element Method is used to solve the governing equations. The values of Hartmann number, frequency of oscillation, suction/injection parameter, the permeability parameter, time and the amplitude of the pressure gradient are discussed. The results obtained are in good agreement with the existing literature.
Keywords: MHD Poiseuille Flow; Suction/Injection; Oscillatory flow; Brinkman Equation; Finite Element Analysis
https://doi.org/10.47412/XEWX3906
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