The entry of an elliptical paraboloid into a liquid at variable velocity

Korobkin, A.A. ORCID: https://orcid.org/0000-0003-3605-8450 (2002) The entry of an elliptical paraboloid into a liquid at variable velocity. Journal of Applied Mathematics and Mechanics, 66 (1). pp. 39-48.

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Abstract

Within framework of the Wagner approximation, an exact solution is constructed for the problem of an elliptical paraboloid entering an ideal, incompressible liquid at variable velocity. It is shown that the region of contact of the liquid with the body is elliptical for any law of penetration. The loads experienced by a freely falling three-dimensional body upon impact with the liquid surface are determined. It is shown that the maximum acceleration of the penetrating body is governed by a single parameter which depends on the conditions of impact and the shape of the body.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
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
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 10:25
Last Modified:	14 Dec 2022 14:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20610
DOI:	10.1016/S0021-8928(02)00006-0

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