## Abstract

Using a recently developed image representation for Stokes flow in a half-space bounded by a planar wall [Cichocki and Jones, Physica A 258, 273 (1998)], the image system is constructed for the flow field produced by a force multipole in the space bounded by two parallel walls. The image singularities are expressed in terms of products of double-reflection matrices, and the expansion is simplified using symmetries of the double-reflection operation. Our analysis yields recurrence relations for the strengths of the image multipoles. The relations are solved explicitly, and a complete image system is obtained for an arbitrary source-force multipole. Applications of our image representation for evaluating the hydrodynamic friction and mobility matrices of particles interacting with two parallel planar walls are indicated.

Original language | English |
---|---|

Pages (from-to) | 5720-5731 |

Number of pages | 12 |

Journal | Journal of Mathematical Physics |

Volume | 43 |

Issue number | 11 |

DOIs | |

State | Published - Nov 1 2002 |