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Waves in a heavy two-layer liquid excited by an oscillating sphere

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Abstract

An approximate solution of an initial-boundary-value problem appropriate for the semiaxist>0 (t is time) is constructed for a system of integrodifferential equations which describes the waves excited in an initially stationary unbounded heavy two-layer fluid by a vertically oscillating sphere located at a distance from the interface that is significantly greater than its radius. The shape of the steady-state wave is found by passing to the limit as time increases indefinitely. The wave resistance experienced by the sphere during the transient process and in the steady-state regime is studied as a function of frequency.

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Authors
  1. O. A. Gil’man
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  2. I. M. Mindlin
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Additional information

Nizhnii Novgorod. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 120–133, March–April, 1998.

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Gil’man, O.A., Mindlin, I.M. Waves in a heavy two-layer liquid excited by an oscillating sphere. Fluid Dyn 33, 252–263 (1998). https://doi.org/10.1007/BF02698710

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  • DOI: https://doi.org/10.1007/BF02698710

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