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Stability of a fluid interface under tangential vibrations

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Abstract

The stability of the interface between two immiscible fluids of different density which occupy a plane horizontal layer performing harmonic horizontal oscillations is considered. Within the framework of the ideal fluid model a transformation reducing the problem of small plane perturbations to the Mathieu equation is found. Resonance instability domains associated with the formation of capillary-gravitational waves are investigated. A model which takes into account dissipation processes due to the presence of viscous friction is constructed. The role of the viscous dissipation in suppressing resonance instability is discussed.

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Authors
  1. D. V. Lyubimov
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  2. M. V. Khenner
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  3. M. M. Shotz
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Additional information

Perm’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 25–31, May–June, 1998.

The work was carried out with partial support from the Russian Foundation for Basic Research (project No. 95-01-00386).

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Lyubimov, D.V., Khenner, M.V. & Shotz, M.M. Stability of a fluid interface under tangential vibrations. Fluid Dyn 33, 318–323 (1998). https://doi.org/10.1007/BF02698179

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  • DOI: https://doi.org/10.1007/BF02698179

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