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Impulsive impact of a submerged body

Published online by Cambridge University Press:  25 May 2021

Y.A. Semenov Open the ORCID record for Y.A. Semenov [Opens in a new window] ,
Y.N. Savchenko  and
G.Y. Savchenko Open the ORCID record for G.Y. Savchenko [Opens in a new window]
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: yuriy.a.semenov@gmail.com
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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.

JFM classification

Waves/Free-surface Flows: Wave-structure interactions Waves/Free-surface Flows: Surface gravity waves Interfacial Flows (free surface): Contact lines
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 919 , 25 July 2021 , R4
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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