New exact solutions of stokes' second problem for an MHD second grade fluid in a porous space

• Main Authors: Ali, F., Mustapha, Norzieha, Shafie, Sharidan, Khan, I., Hayat, T.
• Format: Article
• Published: Elsevier 2012
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/32962/; http://dx.doi.org/10.1016/j.ijnonlinmec.2011.09.027
• Institution: Universiti Teknologi Malaysia

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.