Nonlinear dynamics of anisotropic disturbances in plane Couette flow (Q2783740)
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scientific article; zbMATH DE number 1730716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear dynamics of anisotropic disturbances in plane Couette flow |
scientific article; zbMATH DE number 1730716 |
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17 April 2002
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shear flows
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critical layer
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rational-time dynamical systerm
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cross-stream scale
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streamwise scale
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asymptotic model
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two-mode interaction
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echo effect
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truncated Fourier expansion
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successive Farey fractions
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0.9118683
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0.9109311
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0.9053823
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0.8958175
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0.8925972
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0.8917495
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0.89047986
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Nonlinear dynamics of anisotropic disturbances in plane Couette flow (English)
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The dynamics of disturbances to a two-dimensional inviscid Couette flow is examined under the assumption that the disturbances have a cross-stream scale which is asymptotically smaller than their streamwise scale. The asymptotic model that the author derives in the main body of the paper is identical to that of \textit{N. Balmforth}, \textit{D. Del-Castillo-Negrete} and \textit{W. R. Young} [J. Fluid Mech. 333, 197--230 (1997; Zbl 0896.76020)], although their viewpoint is different. The author studies in detail the two-mode interaction and echo effect. Finally, a numerical method is implemented based on a truncated Fourier expansion and successive Farey fractions.
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