Nonlinear Sloshing in a Spherical Tank

Author:

Faltinsen Odd M.1,Timokha Alexander N.1

Affiliation:

1. Norwegian University of Science & Technology, Trondheim, Norway

Abstract

Steady-state resonant sloshing in a spherical rigid tank due to horizontal harmonic excitations at the lowest natural frequency is classified by combining the nonlinear multimodal method with the Moiseev-Narimanov asymptotics. The theoretical results are validated by comparison with experiments of Sumner & Stofan (1963) and other already published model tests. A good agreement is found for the depth-to-tank radius ratios 0.2 ≤ h ≲ 1 but, when 1 ≲ h ≲ 2, secondary resonance and splashing limits the applicability of the constructed weakly-nonlinear modal theory.

Publisher

American Society of Mechanical Engineers

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Measuring the Volume of Spherical Tank Using Load Cell;2023 International Conference on Energy, Materials and Communication Engineering (ICEMCE);2023-12-14

2. Swirling Effects and Occurrence in Chamfered Prismatic Tanks with Partially Loaded Condition;Journal of the Japan Society of Naval Architects and Ocean Engineers;2017

3. Sloshing and swirling in a spherical LNG tank;Journal of the Japan Society of Naval Architects and Ocean Engineers;2017

4. Multimodal Method in Sloshing;Journal of Mathematical Sciences;2016-12-16

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