Abstract
The solution is presented of the problem of a two-dimensional “fountain” of a heavy liquid above a horizontal bottom. The approximate method of conformal mapping of similar regions developed by Lavrent'ev [1] and Moiseev [2] is used.
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References
M. A. Lavrent'ev, The Variational Method in Boundary-Value Problems for Systems of Equations of the Elliptical Type [in Russian], Izd-vo AN SSSR, 1962.
N. N. Moiseev, “Asymptotic methods of the narrow strip type”, collection: Some Problems of Mathematics and Mechanics [in Russian], Izd-vo AN SSSR, 1961.
T. V. Davis, “Gravity waves of finite amplitude”, collection: Surface Wave Theory [Russian translation], Izd-vo inostr. liter., 1959.
L. N. Sretenskii, “Formation of waves of finite amplitude by a liquid source”, PMM, vol. 29, no. 4, 1965.
W. E. Olmstead and S. Raynor, “Formation of a depression on an infinite liquid surface under the action of an incompressible gas jet”, collection: Mechanics [Russian translation], Izd-vo inostr. liter., 2(96), 1966.
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Many or the questions considered above were discussed with M. A. Gol'dshtik, to whom the author is very grateful.
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Petakhov, Y.I. Some two-dimensional flows of a heavy liquid. Fluid Dyn 1, 96–98 (1966). https://doi.org/10.1007/BF01022164
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DOI: https://doi.org/10.1007/BF01022164