Dynamics of ellipsoidal cavities in fluid |
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Authors: | V N Buivol |
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Institution: | (1) Institute of Computer Technologies of National Aviation University, Kiev, Ukraine |
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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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Translated from Prikladnaya Mekhanika, Vol. 42, No. 2, pp. 24–31, February 2006. |
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Keywords: | hydrodynamics cavity gravity surface tension viscosity hydrodynamic characteristics development of cavity |
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