### Abstract

This article reviews the application of boundary integral methods to low Reynolds number free-boundary flows. The basic equations are developed for three prototypical problems: (i) a drop in an unbounded fluid, (ii) a rigid sphere translating towards a fluid-fluid interface, and (iii) a drop moving through an interface. The interfacial velocity field is expressed as a Fredholm integral equation of the second kind, where the integration domain is the deforming interface. This velocity coupled with the kinematic condition determines the interface evolution. A brief discussion is given of the numerical treatment of the equations, and an illustration is given of time-dependent deformation for several two-interface problems. An extensive literature review is provided.

Original language | English (US) |
---|---|

Title of host publication | International Conference on Boundary Element Technology |

Publisher | Publ by Computational Mechanics Publ |

Pages | 20-39 |

Number of pages | 20 |

ISBN (Print) | 1851667822 |

State | Published - Dec 1 1992 |

Externally published | Yes |

Event | Seventh International Conference on Boundary Element Technology - BETECH 92 - Albuquerque, NM, USA Duration: Jun 1 1992 → Jun 1 1992 |

### Other

Other | Seventh International Conference on Boundary Element Technology - BETECH 92 |
---|---|

City | Albuquerque, NM, USA |

Period | 6/1/92 → 6/1/92 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

## Fingerprint Dive into the research topics of 'Boundary integral methods for viscous free-boundary problems: deformation of single and multiple fluid-fluid interfaces'. Together they form a unique fingerprint.

## Cite this

*International Conference on Boundary Element Technology*(pp. 20-39). Publ by Computational Mechanics Publ.