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 languageUndefined
Place of PublicationEnschede
PublisherDepartment of Applied Mathematics, University of Twente
StatePublished - 1999

Publication series

Name
PublisherDepartment of Applied Mathematics, University of Twente
No.1497
ISSN (Print)0169-2690

Fingerprint

Flow of fluids
Geometry

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: Department of Applied Mathematics, University of Twente.

Driesen, C.H.; Kuerten, Johannes G.M. / Singularities at rims in three-dimensional fluid flow.

Enschede : Department of Applied Mathematics, University of Twente, 1999.

Research output: Other research outputReport

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title = "Singularities at rims in three-dimensional fluid flow",
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.",
keywords = "EWI-3317, MSC-32S05, MSC-41A60, MSC-76D07, IR-65685",
author = "C.H. Driesen and Kuerten, {Johannes G.M.}",
note = "Imported from MEMORANDA",
year = "1999",
publisher = "Department of Applied Mathematics, University of Twente",
number = "1497",

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Driesen, CH & Kuerten, JGM 1999, Singularities at rims in three-dimensional fluid flow. Department of Applied Mathematics, University of Twente, Enschede.

Singularities at rims in three-dimensional fluid flow. / Driesen, C.H.; Kuerten, Johannes G.M.

Enschede : Department of Applied Mathematics, University of Twente, 1999.

Research output: Other research outputReport

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T1 - Singularities at rims in three-dimensional fluid flow

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AU - Kuerten,Johannes G.M.

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PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

KW - EWI-3317

KW - MSC-32S05

KW - MSC-41A60

KW - MSC-76D07

KW - IR-65685

M3 - Report

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Driesen CH, Kuerten JGM. Singularities at rims in three-dimensional fluid flow. Enschede: Department of Applied Mathematics, University of Twente, 1999.