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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 5, Pages 34–46
(Mi pmtf2186)
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This article is cited in 14 scientific papers (total in 14 papers)
Two-dimensional problem of the impact of a vertical wall on a layer of a partially aerated liquid
A. A. Korobkin Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Science, Novosibirsk, 630090
Abstract:
The two-dimensional unsteady problem of the impact of a vertical wall on a layer of a liquid which is mixed with air near the wall and does not contain air bubbles away from the wall is solved in a linear approximation. The gas-liquid mixture is modeled by a homogeneous, ideal, and weakly compressible medium with a reduced sound velocity dependent on the air concentration in the gas-liquid mixture. Outside the gas-liquid layer, the liquid is considered ideal and incompressible. During the initial stage of the impact, the liquid flow and the hydrodynamic pressure are determined using the linear theory of the potential motion of an inhomogeneous liquid. The dependence of the amplitude of the impact pressure along the wall on the air concentration in the gas-liquid layer and on the thickness of this layer is investigated. For a small relative thickness of the layer, the thin-layer approximation is used. It is shown that the solution of the original problem tends to the approximate solution as the thickness of the layer decreases. It is shown that the presence of the gas-liquid layer leads to wall pressure oscillations. Estimates are obtained for the pressure amplitude and the oscillation period.
Keywords:
impact, aerated liquid, thin-layer approximation.
Received: 01.11.2005
Citation:
A. A. Korobkin, “Two-dimensional problem of the impact of a vertical wall on a layer of a partially aerated liquid”, Prikl. Mekh. Tekh. Fiz., 47:5 (2006), 34–46; J. Appl. Mech. Tech. Phys., 47:5 (2006), 643–653
Linking options:
https://www.mathnet.ru/eng/pmtf2186 https://www.mathnet.ru/eng/pmtf/v47/i5/p34
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