Analytically approximate natural sloshing modes and frequencies in two-dimensional tanks

DOI10.1016/j.euromechflu.2014.01.005zbMath1297.76021OpenAlexW2161477264MaRDI QIDQ464036

Alexander Timokha, Odd M. Faltinsen

Publication date: 17 October 2014

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2014.01.005

zbMATH Keywords

sloshingnatural modes and frequenciesTrefftz' solution

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (8)

Shape design optimization of cylindrical tank using B-spline curves ⋮ Nonlinear steady two-layer interfacial flow about a submerged point vortex ⋮ Effects of tank cross-section on dynamic fluid slosh loads and roll stability of a partly-filled tank truck ⋮ Analytically approximate natural sloshing modes and frequencies for an upright circular container with poles ⋮ The shape of the fundamental sloshing mode in axisymmetric containers ⋮ A harmonic polynomial cell (HPC) method for 3D Laplace equation with application in marine hydrodynamics ⋮ Generalized HPC method for the Poisson equation ⋮ Undamped eigenperiods of a sea-based gravity monotower

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• A multimodal method for liquid sloshing in a two-dimensional circular tank
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• An isoperimetric sloshing problem

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