Geodesic
Impact-induced cavitation in a cylindrical container with liquid
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 1, pp. 27-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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The dynamics of liquid in a cylindrical container and the pulse action on its bottom under impact on its upper end was considered. The case with cavitation in the liquid column near the bottom was investigated. The study was performed in the conditions of the known experiments on the bottle breaking resulting from impacting on its upper end. One-dimensional models of hydrodynamics, linear acoustics, and incompressible liquid were applied. The hydrodynamic equations were solved by the Godunov method. Variation of the bottom acceleration was described by a piecewise-constant function, the cavitation was simulated by a single cavity in the form of a cylindrical layer near the bottom. It was shown that in the experiments the bottle breaks because of the water hammer pressure resulting from the cavity collapse. The influence of the waves in the liquid column on the bottom load is insignificant. With decreasing the pressure on the external liquid surface from the atmospheric value, the action on the bottom decreases. There is an optimal height to attain large pressures on the bottom.
Keywords: cylindrical container, impact on bottom, cavity, cavity collapse, gas dynamics equations, Godunov method.
Mots-clés : cavitation 
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A. A. Aganin; M. A. Ilgamov; I. N. Mustafin. Impact-induced cavitation in a cylindrical container with liquid. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 162 (2020) no. 1, pp. 27-37. http://geodesic.mathdoc.fr/item/UZKU_2020_162_1_a1/

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