Hydrodynamic interactions between a sphere and a number of small particles

Maria L. Ekiel-Jezewska; B. U. Felderhof

doi:10.1063/1.4904981

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arXiv · 1408.1844

Hydrodynamic interactions between a sphere and a number of small particles

Maria L. Ekiel-Jezewska·B. U. Felderhof

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Abstract

Exact expressions are derived for the pair and three-body hydrodynamic interactions between a sphere and a number of small particles immersed in a viscous incompressible fluid. The analysis is based on the Stokes equations of low Reynolds number hydrodynamics. The results follow by a combination of the solutions for flow about a sphere with no-slip boundary condition derived by Stokes and Kirchhoff, and the result derived by Oseen for the Green tensor of Stokes' equations in the presence of a fixed sphere.

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Maria L. Ekiel-Jezewska, B. U. Felderhof. 2014-08-08. Hydrodynamic interactions between a sphere and a number of small particles. https://doi.org/10.1063/1.4904981

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