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Zbl 1147.76550
Hayat, T.; Khan, Masood; Ayub, M.
The effect of the slip condition on flows of an Oldroyd 6-constant fluid.
(English)
[J] J. Comput. Appl. Math. 202, No. 2, 402-413 (2007). ISSN 0377-0427

Summary: 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.
MSC 2000:
*76A05 Non-Newtonian fluids

Keywords: Oldroyd 6-constant fluid; analytic solution; boundary value problems; slip condition; homotopy analysis method

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