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Hydrodynamic scattering theory of flow about a sphere

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  • Felderhof, B.U.
  • Jones, R.B.

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.

Suggested Citation

  • Felderhof, B.U. & Jones, R.B., 1986. "Hydrodynamic scattering theory of flow about a sphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 77-98.
    • Handle: RePEc:eee:phsmap:v:136:y:1986:i:1:p:77-98
    DOI: 10.1016/0378-4371(86)90043-9
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    Cited by:

    1. Palaniappan, D. & Daripa, Prabir, 2001. "Interior Stokes flows with stick-slip boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(1), pages 37-63.

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