International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 47, Pages 2525-2535

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

Mirela Kohr

Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 1 M. Kogălniceanu Street, Cluj-Napoca 3400, Romania

Received 11 September 2003

Copyright © 2004 Mirela Kohr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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).