Water entry of a body which moves in more than six degrees of freedom

Scolan, Y. M. and Korobkin, A. A. ORCID: https://orcid.org/0000-0003-3605-8450 (2015) Water entry of a body which moves in more than six degrees of freedom. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (2177). ISSN 1364-5021

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The water entry of a three-dimensional smooth body into initially calm water is examined. The body can move freely in its 6 d.f. and may also change its shape over time. During the early stage of penetration, the shape of the body is approximated by a surface of double curvature and the radii of curvature may vary over time. Hydrodynamic loads are calculated by the Wagner theory. It is shown that the water entry problem with arbitrary kinematics of the body motion, can be reduced to the vertical entry problem with a modified vertical displacement of the body and an elliptic region of contact between the liquid and the body surface. Low pressure occurrence is determined; this occurrence can precede the appearance of cavitation effects. Hydrodynamic forces are analysed for a rigid ellipsoid entering the water with 3 d.f. Experimental results with an oblique impact of elliptic paraboloid confirm the theoretical findings. The theoretical developments are detailed in this paper, while an application of the model is described in electronic supplementary materials.

Item Type: Article
Uncontrolled Keywords: free body motion,hydrodynamic loads,three-dimensional flow,water impact
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
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Depositing User: Pure Connector
Date Deposited: 19 Jan 2016 00:05
Last Modified: 22 Oct 2022 00:40
URI: https://ueaeprints.uea.ac.uk/id/eprint/56629
DOI: 10.1098/rspa.2015.0058


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