On the ‘high spots’ of fundamental sloshing modes in a trough

DOI10.1098/RSPA.2010.0258zbMath1219.76007OpenAlexW2148373009MaRDI QIDQ3090307

Tadeusz Kulczycki, Nikolay Kuznetsov

Publication date: 28 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0258

zbMATH Keywords

eigenvaluesloshing problemfundamental eigenfunction

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (7)

Analytically approximate natural sloshing modes for a spherical tank shape ⋮ High Spots for the Ice-Fishing Problem with Surface Tension ⋮ An isoperimetric sloshing problem in a shallow container with surface tension ⋮ The shape of the fundamental sloshing mode in axisymmetric containers ⋮ On the two-dimensional sloshing problem ⋮ Coupling between resonant sloshing and lateral motions of a two-dimensional rectangular tank ⋮ A Variational Characterization of Fluid Sloshing with Surface Tension

Cites Work

• Sloshing frequencies
• Sloshing frequencies of longitudinal modes for a liquid contained in a trough
• ‘High spots’ theorems for sloshing problems
• Introduction to the Theory of Oscillations of Liquid-Containing Bodies
• On the two-dimensional sloshing problem

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