A note on the small oscillation regimes of rotating liquid bridges: Transition from surface to internal wave modes

2005 ◽  
Vol 17 (1) ◽  
pp. 012101-012101-6 ◽  
Author(s):  
A. M. Gañán-Calvo ◽  
J. M. Montanero
1978 ◽  
Vol 86 (3) ◽  
pp. 457-463 ◽  
Author(s):  
W. E. Scott

It is shown that the wavelets which appear on the inertial wave form of the inner free surface of a fully spun-up cylindrical mass of liquid contained in a vertical, rapidly rotating and gyrating gyrostat are capillary waves. It is further shown that the interaction between these capillary waves and the excited inertial waves is not the mechanism which effects an observed two-period collapse (‘breakdown’) and reappearance of the free-surface inertial wave form. Rather, the two-period breakdown can be explained by the conjecture that it is a beat phenomenon arising from the interaction of two differently structured inertial wave modes, which have the same frequency at small amplitudes of oscillation of the gyrostat but which, owing to the dependence of the inertial mode frequency on the amplitude of the gyrostatic motion, have slightly different frequencies at larger amplitudes of oscillation of the gyrostat.


2009 ◽  
Vol 78 ◽  
pp. S191-S204 ◽  
Author(s):  
Gaëlle Casagrande ◽  
Alex Warn Varnas ◽  
Yann Stéphan ◽  
Thomas Folégot
Keyword(s):  

1976 ◽  
Vol 74 (1) ◽  
pp. 183-192 ◽  
Author(s):  
W. H. Yang ◽  
Chia-Shun Yih

The frequencies of the first four sloshing internal wave modes in two superposed fluid layers contained in a circular channel are calculated for two positions of the free surface and for various ratios of the depths of the two layers. Flow patterns are given for the first four sloshing modes for the case in which the fluids occupy a semicircular space and the depth of the upper layer is one-quarter of the radius.It is hoped that the results obtained will provide a guide for estimating the frequencies of sloshing internal wave modes in long lakes.


2020 ◽  
Vol 5 (7) ◽  
Author(s):  
Pauline Husseini ◽  
Dheeraj Varma ◽  
Thierry Dauxois ◽  
Sylvain Joubaud ◽  
Philippe Odier ◽  
...  

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