doi: 10.7763/IJAPM.2014.V4.263
Regularity for MHD Second Grade Fluid in a Porous Space
S. Rahman
1
,
,
- 1 the Department of Applied Mathematics, Northwestern Polytechnical University, 710129, Xi'an, Shaanxi, P. R. China
- 2 the Department of Mathematics, Quaid-i-Azam University 45320 Islamabad 44000, Pakistan.
- 3 the Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Abstract
The purpose of present paper is to establish the regularity of classical solution for second grade fluid. We consider unsteady flow passing through the porous medium. The incompressible fluid is taken between two rigid plates. We apply the magnetic field of the system and Darcy's law is performed due to porous medium. In addition uniqueness of classical solution is also verified. Finally neglecting the effect of porosity we obtain a unique classical solution of MHD second grade fluid.
Keywords
- Porous medium
- second grade fluid
- classical solution
How to Cite
S. Rahman, T. Hayat, and Hamed H. Alsulami, "Regularity for MHD Second Grade Fluid in a Porous Space," International Journal of Applied Physics and Mathematics, vol. 4, no. 2, pp. 103-107, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.263
Copyright & License
Copyright © 2014 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).