Investigation of liquid sloshing in the tank closed with the movable rigid plate

Authors: Polyukhin A.S.
Published in issue: #6(23)/2018
DOI: 10.18698/2541-8009-2018-6-335
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body
Keywords: oscillation, ideal fluid, potential flow, Lagrange-Cauchy integral, hydroelasticity, velocity potential, Fourier method, linear model, natural oscillation frequency
Published: 21.06.2018

The article considers the linear approximation of the plane problem of the ideal fluid small oscillation in the rectangular tank, whose lateral rigid wall can turn about the horizontal axis. Because of the selected assumptions we have constructed a simplified linearized model of the examined system. Such model can be used as the simplest form of the river dam or tanker with a flexible wall. The authors have constructed an approximate solution of the boundary value problem of fluid small oscillation in the rigid rectangular tank closed on one side with the rigid spring-loaded wall. We have obtained an equation allowing us to determine the natural oscillation frequency of the considered system in linear approximation.

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