The effect of the slip condition on flows of an Oldroyd 6-constant fluid

Authors:
T. Hayat;Masood Khan;M. Ayub
Affiliations:
Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan;Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan;Department of Mathematics, Quaid-i-Azam University, 45320 Islamabad, Pakistan
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 2
Cited 4

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Pertrubations: theory and methods
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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.