MODAL MODELLING OF THE NONLINEAR RESONANT FLUID SLOSHING IN A RECTANGULAR TANK II: SECONDARY RESONANCE

DOI10.1142/S0218202508003212zbMath1168.76005MaRDI QIDQ5505846

Martin Hermann, Alexander Timokha

Publication date: 28 January 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

bifurcationcritical depth-to-breath ratiodouble-dominant modal system

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items (6)

Asymptotic nonlinear multimodal modeling of liquid sloshing in an upright circular cylindrical tank. I: Modal equations ⋮ Subharmonic capillary–gravity waves in large containers subject to horizontal vibrations ⋮ Resonant three-dimensional nonlinear sloshing in a square base basin. Part 5. Three-dimensional non-parametric tank forcing ⋮ Sloshing of an ideal fluid in a horizontally forced rectangular tank ⋮ Secondary resonance of liquid sloshing in square-base tanks undergoing the circular orbit motion ⋮ The Narimanov–Moiseev Multimodal Analysis of Nonlinear Sloshing in Circular Conical Tanks

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