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On nonlinear flows with slip boundary condition. (English) Zbl 1097.76007

Summary: The assumption that a fluid adheres to a solid boundary (‘no-slip’ boundary condition) is one of the central tenets of Navier-Stokes theory. However, there are situations wherein this assumption does not hold. In this communication we examine the effects of slip at the wall when an Oldroyd 6-constant fluid is considered in a channel. The slip assumed depends on the shear stress at the wall. Three nonlinear problems are solved using homotopy analysis method. The results for the velocity profiles are presented and discussed.

MSC:

76A10 Viscoelastic fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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