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Impulsive impact of a submerged body

Published online by Cambridge University Press:  25 May 2021

Y.A. Semenov*
Affiliation:
National Academy of Sciences of Ukraine, Institute of Hydromechanics, 8/4 Marii Kapnist Street, Kyiv03057, Ukraine
Y.N. Savchenko
Affiliation:
National Academy of Sciences of Ukraine, Institute of Hydromechanics, 8/4 Marii Kapnist Street, Kyiv03057, Ukraine
G.Y. Savchenko
Affiliation:
National Academy of Sciences of Ukraine, Institute of Hydromechanics, 8/4 Marii Kapnist Street, Kyiv03057, Ukraine
*
Email address for correspondence: [email protected]

Abstract

An analytical solution of the impulsive impact of a cylindrical body submerged below a calm water surface is obtained by solving a free boundary problem. The shape of the cross-section of the body is arbitrary. The integral hodograph method is applied to derive the complex velocity potential defined in a parameter plane. The boundary-value problem is reduced to a Fredholm integral equation of the first kind in the velocity magnitude on the free surface. The velocity field, the impulsive pressure on the body surface and the added mass are determined in a wide range of depths of submergence for various cross-sectional shapes, such as a flat plate, a circular cylinder and a rectangle.

Type
JFM Rapids
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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