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Incompressible impulsive sloshing

Published online by Cambridge University Press:  09 August 2012

Peder A. Tyvand  and
Touvia Miloh
Peder A. Tyvand*
Affiliation:
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P.O. Box 5003, 1432 Ås, Norway
Touvia Miloh
Affiliation:
School of Mechanical Engineering, Tel Aviv University, Ramat Aviv 69978, Israel
*
†Email address for correspondence: peder.tyvand@umb.no
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Abstract

The incompressible impulsive time scale for inviscid liquid sloshing in open rigid containers suddenly put into motion is defined as the intermediate time scale in between the acoustic time scale and the gravitational time scale. Surge and sway boundary-value problems for incompressible impulsive sloshing in some realistic container shapes are solved analytically to the leading order in a small-time expansion. A solution is provided for two types of horizontal cylinders: a triangular cylindrical wedge and a half-filled circular cylinder. The surface velocity and the hydrodynamic force with its corresponding virtual fluid mass are calculated. The cases of constant impulsive velocity and constant impulsive acceleration are linked by transformation equations. Flows with waterline singularities are discussed, being leading-order outer flows in terms of matched asymptotic expansions.

JFM classification

Interfacial Flows (free surface): Contact lines Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Wave-structure interactions
Type
Papers
Information
Journal of Fluid Mechanics , Volume 708 , 10 October 2012 , pp. 279 - 302
Copyright
Copyright © Cambridge University Press 2012

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