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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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| Published in: | European journal of mechanics, B, Fluids B, Fluids, 2010-07, Vol.29 (4), p.295-304 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c468t-c2021482071a8354f97d28ae00893fba3ca7a6f7687edbc22d29c5b4eab0ea63 |
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| cites | cdi_FETCH-LOGICAL-c468t-c2021482071a8354f97d28ae00893fba3ca7a6f7687edbc22d29c5b4eab0ea63 |
| container_end_page | 304 |
| container_issue | 4 |
| container_start_page | 295 |
| container_title | European journal of mechanics, B, Fluids |
| container_volume | 29 |
| creator | Cathalifaud, P. Mauss, J. Cousteix, J. |
| description | 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. |
| doi_str_mv | 10.1016/j.euromechflu.2010.02.002 |
| format | article |
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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. 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| identifier | ISSN: 0997-7546 |
| ispartof | European journal of mechanics, B, Fluids, 2010-07, Vol.29 (4), p.295-304 |
| issn | 0997-7546 1873-7390 |
| language | eng |
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| source | ScienceDirect Freedom Collection |
| 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 |
| title | Nonlinear aspects of high Reynolds number channel flows |
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