Abstract
The unsteady unidirectional flow of an incompressible fourth grade fluid over an infinite porous plate is studied. The flow is induced due to the motion of the plate in its own plane with an arbitrary velocity. Symmetry reductions are performed to transform the governing nonlinear partial differential equations into ordinary differential equations. The reduced equations are then solved analytically and numerically. The influence of various physical parameters of interest on the velocity profile are shown and discussed through several graphs. A comparison of the present analysis shows excellent agreement between analytical and numerical solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 9187-9195 |
| Number of pages | 9 |
| Journal | Applied Mathematics and Computation |
| Volume | 219 |
| Issue number | 17 |
| DOIs | |
| State | Published - 2013 |
| Externally published | Yes |
Bibliographical note
Funding Information:We thank the referees for valuable comments. T. Aziz gratefully acknowledges financial support from the School of Computational and Applied Mathematics and the Financial Aid and Scholarships Office, University of the Witwatersrand.
Keywords
- Fourth grade fluid
- Suction/injection
- Symmetry reductions
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics