Nonlinear aspects of high Reynolds number channel flows

This paper considers the flow in a two-dimensional channel at high Reynolds number, with wall deformations which can lead to flow separation. An asymptotic model is proposed by using the successive complementary expansion method with generalized asymptotic expansions. In particular, the model emphas...

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Bibliographic Details
Published in:European journal of mechanics, B, Fluids B, Fluids, 2010-07, Vol.29 (4), p.295-304
Main Authors: Cathalifaud, P., Mauss, J., Cousteix, J.
Format: Article
Language:English
Subjects:
Asymmetry
Asymptotic analysis
Asymptotic expansions
Asymptotic properties
Channel flow
Channels
Engineering Sciences
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fluid mechanics
Fluids mechanics
Fundamental areas of phenomenology (including applications)
High Reynolds number
High-reynolds-number turbulence
Interactive boundary layer
Mathematical models
Mechanics
Navier-Stokes equations
Physics
Separation
Turbulent flows, convection, and heat transfer
Walls
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Summary:This paper considers the flow in a two-dimensional channel at high Reynolds number, with wall deformations which can lead to flow separation. An asymptotic model is proposed by using the successive complementary expansion method with generalized asymptotic expansions. In particular, the model emphasizes the asymmetry of the channel geometry by introducing a change of variables. It is shown that the model is more general than the models developed with the method of matched asymptotic expansions. Comparisons with Navier–Stokes solutions show that the model is well founded and enables us to treat original problems.
ISSN:0997-7546
1873-7390
DOI:10.1016/j.euromechflu.2010.02.002