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Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall

Journal of the Egyptian Mathematical Society • 2014
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Publication Information
Authors Kh.S. Mekheimer;A.M. Salem;A.Z. Zaher
Keywords Peristaltic transport;Boundary layer with peristalsis;Induced MHD Flow;Wavy walls;Porous medium
Journal Journal of the Egyptian Mathematical Society
Publisher sciencedirect
Volume 22
Issue 1
Pages 9
publication.type International
Paper Link Open Link
Supplementary Materials Not Available
Abstract
The influences of Hall current and slip condition on the MHD flow induced by sinusoidal
peristaltic wavy wall in two dimensional viscous fluid through a porous mediumf or moderately large
Reynolds number is considered on the basis of boundary layer theory in the case where the thickness of
the boundary layer is larger than the amplitude of the wavy wall . Solutions are obtained in terms of a
series expansion with respect to small amplitude by a regular perturbation method. Graphs of velocity
components, both for the outer and inner flows for various values of the Reynolds number, slip parameter, Hall and magnetic parameters are drawn. The inner and outer solutions are matched by the
matching process. An interesting application of the present results to mechanical engineering may
be the possibility of the fluid transportation without an external pressure.