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A boundary integral equations method for asymmetric Stokes fiow between two parallel planes
Arch. Mech. 49 (6), 1167-1185, 1997
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Abstract
In this paper we apply a direct boundary integral equations method to Stokes flow past a smooth obstacle, occurring between two parallel planes. The problem is formulated exactly as a system of linear Fredholm integral equations of the second kind, over the surface of the obstacle. It is shown that this system has a unique continuous solution when the boundary of the particle is a Lyapunov surface and the velocity distributions on the same boundary is continuous. The numerical results are obtained by a standard boundary element method.