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Parametric internal waves in a compressible fluid

Kausik S Das1,3, Stephen W Morris1 and A Bhattacharyay2

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Recommended by D Lohse

We describe the effect of vibration on a confined volume of fluid which is density stratified due to its compressibility. We show that internal gravity-acoustic waves can be parametrically destabilized by the vibration. The resulting instability is similar to the classic Faraday instability of surface waves, albeit modified by the compressible nature of the fluid. It may be possible to observe experimentally near a gas–liquid critical point.


PACS

47.40.-x Compressible flows; shock and detonation phenomena

47.35.Bb Gravity waves

47.20.-k Hydrodynamic stability

47.35.Rs Sound waves

MSC

76Q05 Hydro- and aero-acoustics

76Nxx Compressible fluids and gas dynamics, general

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction (See also 35Q30, 35Q53)

76E17 Interfacial stability and instability

Subjects

Fluid dynamics

Dates

Issue 12 (December 2009)

Received 21 February 2009, in final form 5 October 2009

Published 13 November 2009



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