Hydrodynamic scattering theory of flow about a sphere

B.U. Felderhof and R.B. Jones

Physica A: Statistical Mechanics and its Applications, 1986, vol. 136, issue 1, 77-98

Abstract: We formulate the solution of the linear Navier-Strokes equations for time-dependent incompresible flow about a spherical particle in terms of a scattering formalism. The solution is written as an expansion in terms of incident and scattered waves. The amplitudes of the outgoing waves are related to a set of spherical force multipoles which themselves can be found from the amplitudes of the incident waves with the help of a resistance matrix. The resistance matrix is evaluated explicitly for hard spheres with mixed slip-stick boundary conditions. Transformation equations are given which relate the time-dependent solutions found here to previously studied solutions for the time-independent steady flow case.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:136:y:1986:i:1:p:77-98

DOI: 10.1016/0378-4371(86)90043-9

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