International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 45-48, Pages 2525-2535
doi:10.1155/S0161171204309105
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. Kogă\ln iceanu Street, Cluj-Napoca 3400, Romania
Abstract
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).