This article is cited in 1 scientific paper (total in 1 paper)
Mathematical model of cavitational braking of a torus in the liquid after impact
M. V. Norkin
Southern Federal University. Department of Mathematics, Mechanics and Computer Science
The process of cavity formation under vertical impact and subsequent braking of a torus of an elliptical cross-section semisubmerged into a liquid is investigated. The solution of the problem is constructed by means of a direct asymptotic method, effective at small times. A special problem with unilateral constraints is formulated on the basis of which the initial zones of a separation and contact of liquid particles are determined, as well as perturbations of the internal and external free boundaries of the liquid at small times. Limit cases of a degenerate and a thin torus are considered. In the case of a thin torus, the flow pattern corresponds to the 2D problem of cavitation braking of an elliptical cylinder in a liquid after a continuous impact.
ideal incompressible liquid, torus of elliptical section, hydrodynamic impact, cavitation braking, asymptotics, free border, cavity, small times, Froude's number.
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Mathematical Models and Computer Simulations, 2019, 11:2, 301–308
M. V. Norkin, “Mathematical model of cavitational braking of a torus in the liquid after impact”, Matem. Mod., 30:8 (2018), 116–130; Math. Models Comput. Simul., 11:2 (2019), 301–308
Citation in format AMSBIB
\paper Mathematical model of cavitational braking of a torus in the liquid after impact
\jour Matem. Mod.
\jour Math. Models Comput. Simul.
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This publication is cited in the following articles:
M. V. Norkin, “Kavitatsionnoe tormozhenie tsilindra s peremennym radiusom v zhidkosti posle udara”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 29:2 (2019), 261–274
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