UNSTEADY HYDROMAGNETIC COUETTE FLOW UNDER AN OSCILLATING PRESSURE GRADIENT AND UNIFORM SUCTION AND INJECTION
Jennilee Veronique1, Sreedhara Rao Gunakala2*, Victor M. Job3
1,2,3Faculty of Science and Technology, The University of the West Indies, Trinidad
1Email: jennilee.veronique@my.uwi.edu
2Email: Sreedhara.rao@sta.uwi.edu *(Corresponding author)
3Email: victor.job@sta.uwi.edu (Corresponding author)
Abstract:
In this paper, we consider the unsteady hydromagnetic Couette flow of a viscous incompressible flow between two infinitely-long horizontal parallel plates under an oscillating pressure gradient. We apply a constant magnetic field which is perpendicular to the plates, and there is uniform suction and injection through the plates. The governing equation for fluid motion within the channel is discretized with the help of the Galerkin Finite Element Method. The effects of the Suction parameter , Hartmann number , Reynolds number , the amplitude of the pressure gradient and the oscillation frequency of the pressure gradient on the velocity distribution are investigated.
Keywords: Couette Flow; Finite Element Analysis; Hydromagnetics; Oscillatory Flow; Flow with Suction and Injection.
https://doi.org/10.47412/JCLZ2920
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