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Oscillations of an ideal liquid acted upon by subface-tension forces. Case of a doubly connected free surface

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Abstract

Many articles have appeared on the problems of small oscillations of an ideal liquid acted upon by surface-tension forces. Oscillations of a liquid with a single free surface are treated in [1, 2]. Oscillations of an arbitrary number of immiscible liquids bounded by equilibrium surfaces on which only zero volume oscillations are assumed possible are investigated in [3], We consider below the problem of the oscillations of an ideal liquid with two free surfaces on each of which nonzero volume disturbances are kinematically possible. The disturbances satisfy the condition of constant total volume. A method of solution is presented. The problem of axisymmetric oscillations of a liquid sphere in contact with the periphery of a circular opening is considered neglecting gravity. The first two eigenfrequencies and oscillatory modes are found.

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Literature cited

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Authors and Affiliations

  1. Moscow

    V. R. Orel

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  1. V. R. Orel
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 64–71, May–June, 1976.

In conclusion, the author thanks F. L. Chernous'ko for posing the problem and for his attention to the work.

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Orel, V.R. Oscillations of an ideal liquid acted upon by subface-tension forces. Case of a doubly connected free surface. J Appl Mech Tech Phys 17, 349–355 (1976). https://doi.org/10.1007/BF00853568

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  • DOI: https://doi.org/10.1007/BF00853568

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