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Stability of the Interface of a Liquid-Suspension System under High-Frequency Nonlinearly Polarized Vibration

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Abstract

The stability of the state of a two-layer system consisting of a homogeneous liquid and a solid particle suspension in the same liquid with a plane interface between them is investigated. The system performs both horizontal and vertical high-frequency vibration with an arbitrary phase shift. It is shown that a mean flow develops under the simultaneous action of both horizontal and vertical vibration; quantitative flow stability characteristics are determined numerically using the differential sweep method. It is shown that a traveling wave relief exists on the liquid-suspension interface. Transverse oscillations in phase with longitudinal oscillations destabilize the entire system. The presence of an oscillation phase shift can lead to an increase in the stability limit; the direction of motion of the wave relief can differ depending on the value of the phase shift. Instability of the system in the presence of strictly vertical vibration is observed, the crisis being associated with longwave monotonic perturbations.

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Authors
  1. N. I. Lobov
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  2. D. V. Lyubimov
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  3. T. P. Lyubimova
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Additional information

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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, 2005, pp. 3–13.

Original Russian Text Copyright © 2005 by Lobov, Lyubimov, and Lyubimova.

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Lobov, N.I., Lyubimov, D.V. & Lyubimova, T.P. Stability of the Interface of a Liquid-Suspension System under High-Frequency Nonlinearly Polarized Vibration. Fluid Dyn 40, 339–348 (2005). https://doi.org/10.1007/s10697-005-0074-8

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  • DOI: https://doi.org/10.1007/s10697-005-0074-8

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