An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section

We study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by Power (1990) in order to sol...

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Main Author: Mirela Kohr
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204309105
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author Mirela Kohr
author_facet Mirela Kohr
author_sort Mirela Kohr
collection DOAJ
description We study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by Power (1990) in order to solve the resulting inner (or Stokes) problems with the completed double-layer boundary integral equation method (CDLBIEM) due to Power and Miranda (1987). We will solve these problems by the boundary integral method developed by Hsiao and Kress (1985).
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institution Kabale University
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-2ca0b37bc8fb43738b7fbce6c1999a9d2025-02-03T01:23:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004472525253510.1155/S0161171204309105An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross sectionMirela Kohr0Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Street, Cluj-Napoca 3400, RomaniaWe study the low Reynolds number flow of an incompressible Newtonian fluid of infinite expanse past a cylinder of arbitrary cross section by using the method of matched asymptotic expansions. The analysis that will be made in this paper is equivalent to that developed by Power (1990) in order to solve the resulting inner (or Stokes) problems with the completed double-layer boundary integral equation method (CDLBIEM) due to Power and Miranda (1987). We will solve these problems by the boundary integral method developed by Hsiao and Kress (1985).http://dx.doi.org/10.1155/S0161171204309105
spellingShingle Mirela Kohr
An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
International Journal of Mathematics and Mathematical Sciences
title An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
title_full An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
title_fullStr An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
title_full_unstemmed An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
title_short An application of the method of matched asymptotic expansions for low Reynolds number flow past a cylinder of arbitrary cross section
title_sort application of the method of matched asymptotic expansions for low reynolds number flow past a cylinder of arbitrary cross section
url http://dx.doi.org/10.1155/S0161171204309105
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