Abstract
This paper aims at studying steady laminar flows of incompressible newtonian fluids in channels at high Reynolds numbers when wall deformations can lead to separation. Thanks to the use of generalized asymptotic expansions, cases are examined for which linearized Euler equations are a good approximation in the core flow. The extraction of the antisymmetric part of the problem leads to a new and promising approach of the flow structure understanding. Comparisons with Navier-Stokes solutions demonstrate the relevance of the proposed approach.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
References
J. Cousteix and J. Mauss. Asymptotic analysis and boundary layers, volume XVIII, Scientific Computation. Springer, Berlin, 2007.
J. Cousteix and J. Mauss. Interactive boundary layer models for channel flow. European Journal of Mechanics B: Fluids, 2008. doi:1016/j.euromechflu.2008.01.003.
P.Y. Lagrée, A. van Hirtum, and X. Pelorson. Asymmetrical effects in a 2d stenosis. European Journal of Mechanics B: Fluids, 26:83–92, 2007.
F.T. Smith. Flow through constricted or dilated pipes and channels: part 1. Quarterly Journal of Mechanics and Applied Mathematics, XXIX(Pt 3):343–364, 1976.
F.T. Smith. Flow through constricted or dilated pipes and channels: part 2. Quarterly Journal of Mechanics and Applied Mathematics, XXIX(Pt 3):365–376, 1976.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Mauss, J., Cathalifaud, P., Cousteix, J. (2009). Antisymmetric Aspects of a Perturbed Channel Flow. In: Hegarty, A., Kopteva, N., O'Riordan, E., Stynes, M. (eds) BAIL 2008 - Boundary and Interior Layers. Lecture Notes in Computational Science and Engineering, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00605-0_17
Download citation
DOI: https://doi.org/10.1007/978-3-642-00605-0_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00604-3
Online ISBN: 978-3-642-00605-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)