Linear and nonlinear sloshing in a circular conical tank
Open Access
- 31 December 2005
- journal article
- Published by IOP Publishing in Fluid Dynamics Research
- Vol. 37 (6), 399-429
- https://doi.org/10.1016/j.fluiddyn.2005.08.004
Abstract
Linear and nonlinear fluid sloshing problems in a circular conical tank are studied in a curvilinear coordinate system. The linear sloshing modes are approximated by a series of the solid spheric harmonics. These modes are used to derive a new nonlinear modal theory based on the Moiseyev asymptotics. The theory makes it possible to both classify steady-state waves occurring due to horizontal resonant excitation and visualise nonlinear wave patterns. Secondary (internal) resonances and shallow fluid sloshing (predicted for the semi-apex angles α > 60°) are extensively discussed.Keywords
This publication has 35 references indexed in Scilit:
- Resonant three-dimensional nonlinear sloshing in a square-base basin. Part 2. Effect of higher modesJournal of Fluid Mechanics, 2005
- Resonant three-dimensional nonlinear sloshing in a square-base basinJournal of Fluid Mechanics, 2003
- Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depthJournal of Fluid Mechanics, 2002
- Recent Advances in Liquid Sloshing DynamicsApplied Mechanics Reviews, 2001
- Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depthJournal of Fluid Mechanics, 2000
- Capillarity effects on surface gravity waves in a cylindrical container: wetting boundary conditionsJournal of Fluid Mechanics, 1991
- Non-linear liquid motion in conical containersActa Mechanica, 1988
- Internally resonant surface waves in a circular cylinderJournal of Fluid Mechanics, 1984
- Flüssigkeitsschwingungen in KegelbehälterformenActa Mechanica, 1982
- Resonant surface wavesJournal of Fluid Mechanics, 1973