Prandtl steady rotary current in an upright cylindrical container

1Timokha, AN
1Institute of Mathematics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 8:45-51
Section: Mechanics
Language: English

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.

Keywords: Craik—Leibovich equation, sloshing, Stokes drift, swirling wave
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