Abstract.
The assumption that a fluid adheres to a solid boundary (‘no-slip’ boundary condition) is one of the central tenets of the 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. The three non-linear problems are solved using homotopy analysis method (HAM). The results for the velocity profiles are presented and discussed.
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Received: January 13, 2004; revised: September 7, 2004
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Hayat, T., Khan, M. & Ayub, M. On non-linear flows with slip boundary condition. Z. angew. Math. Phys. 56, 1012–1029 (2005). https://doi.org/10.1007/s00033-005-4006-6
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DOI: https://doi.org/10.1007/s00033-005-4006-6