The solution of a paradoxical slow flow problem using a boundary element method

L. Elliott; D. B. Ingham; T. B.A. El Bashir

doi:10.1016/0955-7997(95)00004-8

The solution of a paradoxical slow flow problem using a boundary element method

L. Elliott, D. B. Ingham^*, T. B.A. El Bashir

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

By relating the coefficients of some of the terms in the asymptotic expansion of the streamfunction to the force components and the torque on a body, together with the imposition of an integral constraint, enables the boundary element method to provide a closed system of equations for the steady slow flow generated by a rotlet in the presence of a circular cylinder. Excellent agreement is obtained between the numerical results and previous analytical expressions and some new results relating to forces and torques on the cylinder are presented.

Original language	English
Pages (from-to)	29-35
Number of pages	7
Journal	Engineering Analysis with Boundary Elements
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/0955-7997(95)00004-8
Publication status	Published - 1995
Externally published	Yes

Keywords

Boundary element method
cylinder
paradox
slow flow

ASJC Scopus subject areas

Analysis
Engineering(all)
Computational Mathematics
Applied Mathematics

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10.1016/0955-7997(95)00004-8

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keywords = "Boundary element method, cylinder, paradox, slow flow",

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AU - Elliott, L.

AU - Ingham, D. B.

AU - El Bashir, T. B.A.

PY - 1995

Y1 - 1995

N2 - By relating the coefficients of some of the terms in the asymptotic expansion of the streamfunction to the force components and the torque on a body, together with the imposition of an integral constraint, enables the boundary element method to provide a closed system of equations for the steady slow flow generated by a rotlet in the presence of a circular cylinder. Excellent agreement is obtained between the numerical results and previous analytical expressions and some new results relating to forces and torques on the cylinder are presented.

AB - By relating the coefficients of some of the terms in the asymptotic expansion of the streamfunction to the force components and the torque on a body, together with the imposition of an integral constraint, enables the boundary element method to provide a closed system of equations for the steady slow flow generated by a rotlet in the presence of a circular cylinder. Excellent agreement is obtained between the numerical results and previous analytical expressions and some new results relating to forces and torques on the cylinder are presented.

KW - Boundary element method

KW - cylinder

KW - paradox

KW - slow flow

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The solution of a paradoxical slow flow problem using a boundary element method

Abstract

Keywords

ASJC Scopus subject areas

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