On sloshing modes in a circular tank

On sloshing modes in a circular tank

Employing the multipole-type functions given by Faltinsen & Timokha (J. Fluid Mech., vol. 665, 2010, pp. 457–479), we derive a Trefftz-type representation of the velocity potential for the liquid sloshing problem in a two-dimensional circular tank. This representation defines a continuation of t...

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Veröffentlicht in:Journal of fluid mechanics 2012-03, Vol.695, p.467-477
Hauptverfasser: Faltinsen, Odd M., Timokha, Alexander N.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Drying
Exact sciences and technology
Fluid dynamics
Fluid flow
Fluid mechanics
Fluids
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Mathematical analysis
Mathematical functions
Mathematical problems
Physics
Representations
Tanks
Velocity potential
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Zusammenfassung:Employing the multipole-type functions given by Faltinsen & Timokha (J. Fluid Mech., vol. 665, 2010, pp. 457–479), we derive a Trefftz-type representation of the velocity potential for the liquid sloshing problem in a two-dimensional circular tank. This representation defines a continuation of the velocity potential into the ‘air’ area confined by the ‘dry’ tank surface. Its usage facilitates an effective approximation of the natural sloshing modes for all tank fillings.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2012.38