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On short-wave instability of the stratified Kolmogorov flowстатья
- Автор: Kurgansky M.V.
- Журнал: Theoretical and Computational Fluid Dynamics
- Том: 36
- Номер: 4
- Год издания: 2022
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 575
- Последняя страница: 595
- DOI: 10.1007/s00162-022-00613-2
- Аннотация: The problem of the linear stability of the stratified Kolmogorov flow driven by a sinusoidal in space force in a viscous and diffusive Boussinesq fluid is re-visited using the Floquet theory, Galerkin approximations and the method of (generalized) continued fractions. Numerical and analytical arguments are provided in favorof a conjecture that an ideal stratified Kolmogorov flow is prone to short-wave instability for Richardson numbers markedly greater than the critical Richardson number Ri=¼ that appears in the Miles–Howard theorem. The short-wave instability of the stratified Kolmogorov flow is conjectured to be due to a resonance amplification of the Doppler-shifted internal gravity wave modes, in the presence of critical levels of themain flow that are ignored in the proof of the Miles–Howard theorem, but it is emphasized that the complete resolution of the above paradox is a task for future research.
- Добавил в систему: Курганский Михаил Васильевич