Peristatcally induced MHD slip flow in a porous medium due to a surface acoustic wavy wall |
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Institution: | 1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt;2. Mathematics Department, Faculty of Science, Taif University, Hawia, 888 Taif, Saudi Arabia;3. Department of Science, Faculty of Computers and Information, Suez Canal University, Egypt;4. Mathematics and Physics Engineering Department, Faculty of Engineering-Shubra-Benha University, Egypt |
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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 medium for 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. |
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Keywords: | Peristaltic transport Boundary layer with peristalsis Induced MHD Flow Wavy walls Porous medium 76D 76S05 76W 76Z05 |
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