Numerical solution of Stokes flow generated by vortices

Part 1: Around an elliptical cylinder

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, the Stokes flow outside a two-dimensional elliptical cylinder is considered for a highly viscous, incompressible fluid flow, driven by a pair of vortices placed at different positions. Relating the coefficients of some of the terms in the asymptotic expansion of the stream function to the force components and the torque on the combined system, together with the imposition of integral constraints, enables the boundary element method to provide a closed system of equations. It is found that excellent agreement is obtained between the numerical results for a single vortex and all the previous analytical expressions. Some new results relating to forces and torques on the elliptical cylinder are presented. The analytical closed-form expression for the single vortex is provided.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalActa Mechanica
Volume223
Issue number1
DOIs
Publication statusPublished - Jan 2012

Fingerprint

Vortex flow
Torque
Boundary element method
Flow of fluids

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computational Mechanics

Cite this

Numerical solution of Stokes flow generated by vortices : Part 1: Around an elliptical cylinder. / El Bashir, T. B A.

In: Acta Mechanica, Vol. 223, No. 1, 01.2012, p. 1-14.

Research output: Contribution to journalArticle

@article{8bcfa380e69e458a8581a888ddc71058,
title = "Numerical solution of Stokes flow generated by vortices: Part 1: Around an elliptical cylinder",
abstract = "In this paper, the Stokes flow outside a two-dimensional elliptical cylinder is considered for a highly viscous, incompressible fluid flow, driven by a pair of vortices placed at different positions. Relating the coefficients of some of the terms in the asymptotic expansion of the stream function to the force components and the torque on the combined system, together with the imposition of integral constraints, enables the boundary element method to provide a closed system of equations. It is found that excellent agreement is obtained between the numerical results for a single vortex and all the previous analytical expressions. Some new results relating to forces and torques on the elliptical cylinder are presented. The analytical closed-form expression for the single vortex is provided.",
author = "{El Bashir}, {T. B A}",
year = "2012",
month = "1",
doi = "10.1007/s00707-011-0542-7",
language = "English",
volume = "223",
pages = "1--14",
journal = "Acta Mechanica",
issn = "0001-5970",
publisher = "Springer Wien",
number = "1",

}

TY - JOUR

T1 - Numerical solution of Stokes flow generated by vortices

T2 - Part 1: Around an elliptical cylinder

AU - El Bashir, T. B A

PY - 2012/1

Y1 - 2012/1

N2 - In this paper, the Stokes flow outside a two-dimensional elliptical cylinder is considered for a highly viscous, incompressible fluid flow, driven by a pair of vortices placed at different positions. Relating the coefficients of some of the terms in the asymptotic expansion of the stream function to the force components and the torque on the combined system, together with the imposition of integral constraints, enables the boundary element method to provide a closed system of equations. It is found that excellent agreement is obtained between the numerical results for a single vortex and all the previous analytical expressions. Some new results relating to forces and torques on the elliptical cylinder are presented. The analytical closed-form expression for the single vortex is provided.

AB - In this paper, the Stokes flow outside a two-dimensional elliptical cylinder is considered for a highly viscous, incompressible fluid flow, driven by a pair of vortices placed at different positions. Relating the coefficients of some of the terms in the asymptotic expansion of the stream function to the force components and the torque on the combined system, together with the imposition of integral constraints, enables the boundary element method to provide a closed system of equations. It is found that excellent agreement is obtained between the numerical results for a single vortex and all the previous analytical expressions. Some new results relating to forces and torques on the elliptical cylinder are presented. The analytical closed-form expression for the single vortex is provided.

UR - http://www.scopus.com/inward/record.url?scp=84856057734&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856057734&partnerID=8YFLogxK

U2 - 10.1007/s00707-011-0542-7

DO - 10.1007/s00707-011-0542-7

M3 - Article

VL - 223

SP - 1

EP - 14

JO - Acta Mechanica

JF - Acta Mechanica

SN - 0001-5970

IS - 1

ER -