Title: Global Interactive Boundary Layer (GIBL) for a channel

Authors: J. Mauss, A. Dechaume, J. Cousteix

Addresses: IMFT and UPS, 118 route de Narbonne, 31062 Toulouse Cedex, France. ' Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada. ' ONERA and SUPAERO, 2 avenue Edouard Belin, 31055 Toulouse Cedex, France

Abstract: An asymptotic analysis of the structure of a two-dimensional steady, incompressible, laminar flow in a channel is presented. More precisely, for high Reynolds numbers, when the walls of the channel are slightly deformed, a new approach leads to a better understanding of possible flow separation. The starting point is to assume the structure of a Uniformly Valid Approximation (UVA) in the whole channel. The analysis is carried out with the Successive Complementary Expansion Method (SCEM). Thanks to the use of generalised asymptotic expansions, SCEM leads, with rational arguments, to a Global Interactive Boundary Layer (GIBL) theory valid in the whole channel.

Keywords: singular perturbations; asymptotic analysis; uniformly valid approximation; UVA; boundary layers; flow separation; incompressible flow; laminar flow; channels.

DOI: 10.1504/IJCSM.2007.016538

International Journal of Computing Science and Mathematics, 2007 Vol.1 No.2/3/4, pp.308 - 321

Published online: 07 Jan 2008 *

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