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Hydrodynamics in weak gravitational fields two-dimensional oscillations of an ideal fluid in a rectangular channel

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Abstract

The two-dimensional problem of determining the frequencies and modes of small natural osciliations of an ideal fluid in a rectangular channel under near-weightless conditions is considered. It is assumed that a weak gravitational field acts parallel to the vertical walls of the channel. The Ritz method is employed for the variational problem, which is equivalent to the problem of oscillations of a fluid under weightless conditions [1, 2].

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Literature Cited

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Khar'kov. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 3–13, September–October, 1972.

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Kopachevskii, N.D. Hydrodynamics in weak gravitational fields two-dimensional oscillations of an ideal fluid in a rectangular channel. Fluid Dyn 7, 705–714 (1972). https://doi.org/10.1007/BF01205747

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  • DOI: https://doi.org/10.1007/BF01205747

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