Abstract
The problem of determining the slow motion of a particle of arbitrary shape near a plane boundary, rigid or not, in a viscous fluid is formulated exactly as a system of linear Fredholm integral equations of the second kind, by completing the deficient range of a double layer potential and using the adequate image system needed to satisfy the boundary or matching conditions at the boundary. It is shown that this system of integral equations possesses a unique continuous solution when the boundary of the particle is a Lyapunov surface and the velocity data on the boundary surface is continuous and this system is used as the basis of a numerical model that uses standard boundary element techniques.
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© 1992 Computational Mechanics Publications
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Power, H., Febres de Power, B. (1992). The Complete Double Layer Boundary Integral Equation Method for Particles Moving Close to Boundaries. In: Brebbia, C.A., Partridge, P.W. (eds) Boundary Elements in Fluid Dynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2876-6_8
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DOI: https://doi.org/10.1007/978-94-011-2876-6_8
Publisher Name: Springer, Dordrecht
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