## Abstract

A boundary integral equation technique is presented for solving the low Reynolds number hydrodynamic interaction of a rigid body with a plane wall and a hole. Such a problem occurs during the process of filtration by a multipore or similar devices. The proposed technique utilizes the Green function of the Stokes equation for the infinite plane wall to eliminate all unknowns on the plane wall. A system of two integral equations is derived, for the stresses on the surface of the body and for the velocity in the hole; this system is later reduced to a single equation. The proposed technique is applicable to a hole and a body of arbitrary shape and no symmetry is required.

Original language | American English |
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Pages (from-to) | 529-543 |

Number of pages | 15 |

Journal | International Journal of Multiphase Flow |

Volume | 16 |

Issue number | 3 |

DOIs | |

State | Published - 1990 |

## Keywords

- Stokes flow
- boundary integral equation
- filtration flow