Abstract
Thermal vibrational convection is considered for an acoustic wavelength at the vibration frequency comparable with the dimensions of the cavity. Equations of the pulsatory and average motions of a medium that generalize the well-known equations of thermovibrational convection are obtained. Effective boundary conditions for average fields on rigid boundaries are formulated. The quasi-equilibrium stability problem for a plane horizontal layer heated from below and executing high-frequency oscillations is solved. It is shown that the compressibility effects can be significant even when the acoustic wavelength substantially exceeds the length of the layer. A destabilizing compressibility effect which can lead to instability of the layer even under conditions of weightlessness is established.
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Additional information
Perm’, e-mail: lyubimov@psu.ru. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 28–36, March–April, 2000.
The work was carried out with partial financial support from the Program of State Support for Leading Science Schools (project No. 96-015-96084).
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Lyubimov, D.V. Thermal convection in an acoustic field. Fluid Dyn 35, 177–184 (2000). https://doi.org/10.1007/BF02831424
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DOI: https://doi.org/10.1007/BF02831424