Non-linear oscillations of an inviscid liquid column under zero-gravity

1988 ◽  
Vol 58 (4) ◽  
pp. 276-284 ◽  
Author(s):  
W. Eidel ◽  
H. F. Bauer
Keyword(s):  
Liquid Column ◽  
Zero Gravity ◽  
Inviscid Liquid ◽  
Non Linear

Nonlinear effects on inviscid liquid column oscillations

1999 ◽  
Vol 134 (1-2) ◽  
pp. 45-60
Author(s):  
L. Zhang ◽  
M. J. Lyell
Keyword(s):  
Nonlinear Effects ◽  
Liquid Column ◽  
Inviscid Liquid

scholarly journals On super free fall

2013 ◽  
Vol 723 ◽  
pp. 653-664 ◽  
Author(s):  
A. Torres ◽  
A. Medina ◽  
F. J. Higuera ◽  
P. D. Weidman
Keyword(s):  
Governing Equation ◽  
Free Fall ◽  
Vertical Tube ◽  
Liquid Column ◽  
Experimental Measurements ◽  
Centre Of Mass ◽  
Interface Motion ◽  
Inviscid Liquid ◽  
Conical Tube ◽  
End Point

AbstractVillermaux & Pomeau (J. Fluid Mech., vol. 642, 2010, p. 147) analysed the motion of the interface of an inviscid liquid column released from rest in a vertical tube whose area expands gradually downwards, with application to an inverted conical container for which experimental measurements were carried out. An error in the analysis is found and corrected in the present investigation, which provides the new governing equation for the super-accelerated interface motion down gradually varying tubes in general, and integrated results for interface trajectories, velocities and accelerations down a conical tube in particular. Interestingly, the error does not affect any of the conclusions given in the 2010 paper. Further new results are reported here such as the equation governing the centre of mass and proof that the end point acceleration is exactly that of gravity.

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