### Abstract

Asymptotic solutions are presented for Stokes flow near circular rims in three-dimensional geometries. Using nonstandard toroidal coordinates, asymptotic analytical expressions are derived for different corner angles. In comparison to the two-dimensional case, an extra critical corner angle value is derived, below which the swirling behaviour of a particle is absent. Illustrations of the motion of a particle near a rim in a three-dimensional fluid flow are given for different corner angles.

Original language | Undefined |
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Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 1999 |

### Publication series

Name | |
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Publisher | Department of Applied Mathematics, University of Twente |

No. | 1497 |

ISSN (Print) | 0169-2690 |

### Keywords

- EWI-3317
- MSC-32S05
- MSC-41A60
- MSC-76D07
- IR-65685

## Cite this

Driesen, C. H., & Kuerten, J. G. M. (1999).

*Singularities at rims in three-dimensional fluid flow*. Enschede: University of Twente, Department of Applied Mathematics.