Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642918 | Journal of Computational and Applied Mathematics | 2007 | 12 Pages |
Abstract
The steady flows of a non-Newtonian fluid are considered when the slippage between the plate and the fluid is valid. The constitutive equations of the fluid are modeled by those for an Oldroyd 6-constant fluid. They give rise to non-linear boundary value problems. The analytical solutions are obtained using powerful, easy-to-use analytic technique for non-linear problems, the homotopy analysis method. It is shown that solutions exist for all values of non-Newtonian parameters. The solutions valid for no-slip condition for all values of non-Newtonian parameters can be derived as the special cases of the present analysis. Finally, graphs are plotted and critical assessment is made for the cases of slip and no-slip conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
T. Hayat, Masood Khan, M. Ayub,