Two-dimensional problem of the impact of a vertical wall on a layer of a partially aerated liquid

Korobkin, A. A. ORCID: https://orcid.org/0000-0003-3605-8450 (2006) Two-dimensional problem of the impact of a vertical wall on a layer of a partially aerated liquid. Journal of Applied Mechanics and Technical Physics, 47 (5). pp. 643-653. ISSN 0021-8944

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Centre for Interdisciplinary Mathematical Research (former - to 2017) Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Sustainable Energy
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:24
Last Modified:	07 Nov 2024 12:34
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20597
DOI:	10.1007/s10808-006-0100-6

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