Steady-state sloshing in an orbitally-forced square-base tank
The paper conducts a series of analytical studies on the resonant steady-state sloshing in a rigid square base container, which have been originated by Faltinsen & Timokha who derived and applied the Narimanov-Moiseev—type nonlinear modal equations for investigation in the sloshing problem. The modal equations, which consist on nine-dimensional system of ordinary differential equations, should be applicable for sway/pitch/surge/roll periodic excitations but, due to, basically, mathematical difficulties, the previous papers exclusively concentrated on the reciprocating (longitudinal, oblique and diagonal) motions of the container. This article is showed that the steady-state waves caused by this kind of forcing are asymptotically identical to those occurring when the tank performs horizontal orbital motions. We generalize the previous results by Faltinsen & Timokha to classify the steady-state wave regimes versus the semi-axes ratio of the forcing ellipse in the tank which is filled by a liquid with a finite depth.
Key words: sloshing, damping, steady-state waves.
Pages of the article in the issue: 210-213
Language of the article: English
FALTINSEN, O. M. & ROGNEBAKKE, O. F. & TIMOKHA, A.N. (2003) Resonant threedimensional nonlinear sloshing in a square base basin. Journal of Fluid Mechanics. 387.p. 1-42.
RAYNOVSKYY, I. & TIMOKHA, A. (2018) Damped steady-state resonant sloshing in a circular base container. Fluid Dynamics Research. 50. Article ID 5487178.—p. 1-8.
FALTINSEN, O. M. & TIMOKHA, A.N. (2001) Adaptive multimodal approach to nonlinear sloshing in a rectangular rank. J. Fluid Mech. 432, 167–200.
MOISEYEV, N. N. & RUMYANTSEV, V. V. 1968 Dynamic Stability of Bodies Containing Fluid. Springer
How to Cite
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).