4.5 Article

Analytic solution for MHD Transient rotating flow of a second grade fluid in a porous space

Journal

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 9, Issue 4, Pages 1619-1627

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2007.04.006

Keywords

unsteady flow; rotating frame; MHD flow; Fourier sine transform; analytic solution

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This article looks into the unsteady rotating magnetohydrodynamic (MHD) flow of an incompressible second grade fluid in a porous half space. The flow is induced by a Suddenly moved plate in its own plane. Both the fluid and plate rotate ill unison with the same angular velocity. Analytic solution of the governing flow problem is obtained by using Fourier sine transform. Based on the modified Darcy's law, expression for velocity is obtained. The influence of pertinent parameters oil the flow is delineated and appropriate conclusions are drawn. Several existing Solutions of Newtonian fluid have been also deduced as limiting cases. (C) 2007 Elsevier Ltd. All rights reserved.

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