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Stokes Flow about a Slip Arbitrary-Shaped Particle

A. Sellier

Computer Modeling in Engineering & Sciences 2012, 87(2), 157-176. https://doi.org/10.3970/cmes.2012.087.157

Abstract

A new approach is proposed to accurately compute at a reasonable cpu time cost the hydrodynamic net force and net torque exerted on a slip and arbitrarily-shaped solid particle experiencing a prescribed slow rigid-body migration in a quiescent Newtonian liquid. The advocated method appeals to a boundary formulation which makes it possible to reduce the task to the treatment of a relevant regularized boundary-integral equation on the particle slipping surface. This integral equation is numerically inverted by implementing a boundary element collocation method. In addition to benchmark tests against analytical and numerical results available in the literature, numerical results for volume-equivalent ellipsoids and open torus are given and discussed.

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Cite This Article

Sellier, A. (2012). Stokes Flow about a Slip Arbitrary-Shaped Particle. CMES-Computer Modeling in Engineering & Sciences, 87(2), 157–176.



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