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Dynamics of ellipsoidal cavities in fluid

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Abstract

A mathematical model of the hydrodynamics of free closed surfaces in a fluid is expounded. It is used for studying the dynamics of ellipsoidal cavities during their development. The model is based on a system of differential equations that accounts for the influence exerted on the dynamics of cavities by various perturbations such as gravity, surface tension, viscosity, and geometrical features of the cavity. Solving this system makes it possible to determine the hydrodynamic characteristics of the flow around the cavity and to plot cavity shapes depending on time and flow regimes. Characteristic features of the development of such cavities under gravity and surface tension are established

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Authors and Affiliations

  1. Institute of Computer Technologies of National Aviation University, Kiev, Ukraine

    V. N. Buivol

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  1. V. N. Buivol
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 24–31, February 2006.

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Buivol, V.N. Dynamics of ellipsoidal cavities in fluid. Int Appl Mech 42, 145–151 (2006). https://doi.org/10.1007/s10778-006-0069-0

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  • DOI: https://doi.org/10.1007/s10778-006-0069-0

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