Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 47, Issue 5, Pages 521-525Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2011.09.027
Keywords
Stokes' second problem; Exact solutions; Porous space; MHD fluid
Categories
Funding
- Research Management Centre - UTM [03J62, Q.J130000.7126.03J54]
- UTM
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We investigate a problem describing the oscillating flow of an incompressible magnetohydrodynamic (MHD) second grade fluid in a porous half space. Exact solutions for sine and cosine oscillations are developed by applying the Laplace transform method. The total obtained solution is a sum of steady and transient solutions. Particular attention is given to the effects of magnetic and porous medium parameters on the velocity. It is shown that previous results for a non-porous medium and hydrodynamic fluid are the limiting cases of the present problem. The results for velocity are plotted and discussed carefully. (C) 2011 Elsevier Ltd. All rights reserved.
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