Singularities at rims in three-dimensional fluid flow

C.H. Driesen; Johannes G.M. Kuerten

Singularities at rims in three-dimensional fluid flow

C.H. Driesen, Johannes G.M. Kuerten

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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
Place of Publication	Enschede
Publisher	University of Twente
Publication status	Published - 1999

Publication series

Name
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

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Cite this

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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",

language = "Undefined",

publisher = "University of Twente",

number = "1497",

address = "Netherlands",

}

TY - BOOK

T1 - Singularities at rims in three-dimensional fluid flow

AU - Driesen, C.H.

AU - Kuerten, Johannes G.M.

N1 - Imported from MEMORANDA

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

BT - Singularities at rims in three-dimensional fluid flow

PB - University of Twente

CY - Enschede

ER -