Analytical models of water impact

Korobkin, A. A. ORCID: https://orcid.org/0000-0003-3605-8450 (2004) Analytical models of water impact. European Journal of Applied Mathematics, 15 (6). pp. 821-838. ISSN 0956-7925

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Abstract

Mathematical models for the prediction of the hydrodynamic pressure distribution and the force on a body entering liquid are investigated. Particular attention is paid to analytical models which are based on the velocity potential given by the classical Wagner theory. Formal use of the Wagner theory provides the loads on an entering body, which are higher than the measured ones. To improve the predictions, the higher order terms in the Bernoulli equation are taken into account within the generalized Wagner model and the Logvinovich model. It is shown that the Logvinovich model corresponds better to the experimental data than the generalized Wagner model. A rational derivation of the Logvinovich model is given in the paper for the two-dimensional case. The analytical models are tested against both numerical and experimental results.

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:	06 Mar 2023 17:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20607
DOI:	10.1017/S0956792504005765

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