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On sloshing modes in a circular tank

Published online by Cambridge University Press:  16 February 2012

Odd M. Faltinsen  and
Alexander N. Timokha
Odd M. Faltinsen*
Affiliation:
Centre for Ships and Ocean Structures & Department of Marine Technology, Norwegian University of Science and Technology, NO-7091 Trondheim, Norway
Alexander N. Timokha
Affiliation:
Centre for Ships and Ocean Structures & Department of Marine Technology, Norwegian University of Science and Technology, NO-7091 Trondheim, Norway
*
†Email address for correspondence: [email protected]
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Abstract

Employing the multipole-type functions given by Faltinsen & Timokha (J. Fluid Mech., vol. 665, 2010, pp. 457–479), we derive a Trefftz-type representation of the velocity potential for the liquid sloshing problem in a two-dimensional circular tank. This representation defines a continuation of the velocity potential into the ‘air’ area confined by the ‘dry’ tank surface. Its usage facilitates an effective approximation of the natural sloshing modes for all tank fillings.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface)
Type
Papers
Information
Journal of Fluid Mechanics , Volume 695 , 25 March 2012 , pp. 467 - 477
Copyright
Copyright © Cambridge University Press 2012

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