New exact solutions of stokes' second problem for an MHD second grade fluid in a porous space
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 a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
Elsevier
2012
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/32962/ http://dx.doi.org/10.1016/j.ijnonlinmec.2011.09.027 |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | 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. |
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