Prandtl steady rotary current in an upright cylindrical container

TitlePrandtl steady rotary current in an upright cylindrical container
Publication TypeJournal Article
Year of Publication2018
AuthorsTimokha, AN
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.08.045
Issue8
SectionMechanics
Pagination45-51
Date Published8/2018
LanguageEnglish
Abstract

The quantifying of the experimentally-known (Prandtl, 1949) steady rotary current during the swirl-type sloshing is first given. The current is treated as the sum of the mean wave (pseudo-) momentum through the meridional cross-section  and  the  mean  wave  Eulerian  flow,  which  is  governed  by  the  Craik—Leibovich  equation. The  constructed analytical inviscid theory is supported by existing experimental data.

KeywordsCraik—Leibovich equation, sloshing, Stokes drift, swirling wave
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