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On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions

Published online by Cambridge University Press:  07 May 2015

O. M. Faltinsen  and
A. N. Timokha
O. M. Faltinsen*
Affiliation:
Centre for Autonomous Marine Operations and Systems, Department of Marine Technology, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway
A. N. Timokha
Affiliation:
Centre for Autonomous Marine Operations and Systems, Department of Marine Technology, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., Kiev-4, 01601, Ukraine
*
†Email address for correspondence: odd.faltinsen@ntnu.no
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Abstract

Based on a similarity between piston-mode sloshing in a two-dimensional rectangular moonpool and a small-amplitude oscillatory flow through a slot in a slatted screen, a pressure discharge in the moonpool opening is theoretically quantified. This makes it possible, by changing the dynamic free-surface condition inside the moonpool, to account for the vortex-induced damping and thereby to modify the inviscid potential flow statement. The present paper is an important addition to Faltinsen et al. (J. Fluid Mech., vol. 575, 2007, pp. 359–397), where a discrepancy between the potential flow theory and model tests was reported. New calculations are supported by the earlier model tests of the authors as well as numerical data obtained by means of viscous solvers.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 772 , 10 June 2015 , R1
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Copyright
© 2015 Cambridge University Press 

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