General Solutions for Hydromagnetic Flow of Viscous Fluids between Horizontal Parallel Plates through Porous Medium
Publication: Journal of Engineering Mechanics
Volume 146, Issue 6
Abstract
Analytical solutions for the hydromagnetic flow of incompressible viscous fluids between two infinite horizontal parallel plates, with the lower plate moving in its plane with an arbitrary velocity, are established in the presence of porous effects. For illustration, different motions with technical relevance are examined, and combined magnetic and porous effects, as well as the influence of Reynolds number on the dimensionless velocity and shear stress fields, are graphically depicted and discussed for motions persuaded by a suddenly moved or constantly accelerating plate. The solutions for oscillatory motions are expressed as the sum of permanent (steady state) and transient components, and the necessary time to attain the steady state is established graphically. It was found that this time is lower for motions due to cosine oscillations of the plate. Moreover, the steady state is rather obtained under the effect of a magnetic field or for flows through a porous medium.
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Data Availability Statement
No data, models, or code were generated or used during the study.
Acknowledgments
The authors would like to thank reviewers for their useful suggestions with respect to the first version of this paper.
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Published In
Journal of Engineering Mechanics
Volume 146 • Issue 6 • June 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Jun 23, 2019
Accepted: Jan 9, 2020
Published online: Apr 9, 2020
Published in print: Jun 1, 2020
Discussion open until: Sep 9, 2020
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