Parametric instabilities of a stratified shear layer

نویسندگان

چکیده

A Boussinesq fluid inside a stably thermally stratified square container whose walls are inclined ${45}^{\circ }$ with respect to gravity, two opposite kept at constant temperatures and the other insulated is nearly isothermal in regions above below horizontal diagonal. The flow concentrated wall boundary layers shear layer centred about equilibrium maintained by balance between dissipation layers, heat fluxes temperature walls, induced resulting from no-flux condition walls. dynamical response of vertical oscillations studied over range forcing frequencies. For small amplitude viscosity-dependent cutoff frequency, this exhibits modal cellular structure localized layer. With increasing amplitude, experiences instabilities, here numerically frequency that similar those encountered Faraday wave problem, such as parametric subharmonic instability, triadic resonance resonant collapse.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2021

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2021.373