4.7 Article

A spectral method for axisymmetric Stokes flow past a particle

期刊

JOURNAL OF FLUID MECHANICS
卷 936, 期 -, 页码 -

出版社

CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2022.76

关键词

colloids; general fluid mechanics

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  1. University of Akron

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A non-perturbative mesh-free spectral method is proposed in this study for the axisymmetric scenario of a radially highly deformed sphere in Stokes flow. By using spectra of harmonic and biharmonic Stokes flow modes, a general algebraic spectral solution to axisymmetric Stokes flow is provided. The method is demonstrated on two specific problems and compared with the boundary element method, showing good agreement in results.
We present a non-perturbative mesh-free spectral method for the axisymmetric scenario of a radially highly deformed sphere in Stokes flow. Spectra of harmonic and biharmonic Stokes flow modes are used to provide a general algebraic spectral solution to axisymmetric Stokes flow. A solution for the flow field around a sphere with prescribed surface velocity field is presented, and is used to obtain the velocity field around a deformed sphere. The method is demonstrated on two problems: hydrodynamic radii of radially deformed spheres for a range of strength and angular dependence of the deformation, with results in good agreement with the boundary element method; and self-phoretic velocity of spheroids with surface flux of the driving field in a source/sink or source/inert configuration.

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