Nonlinear effects on inviscid liquid column oscillations

Acta Mechanica ◽

10.1007/bf01170303 ◽

1999 ◽

Vol 134 (1-2) ◽

pp. 45-60

Author(s):

L. Zhang ◽

M. J. Lyell

Keyword(s):

Nonlinear Effects ◽

Liquid Column ◽

Inviscid Liquid

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

Ingenieur-Archiv ◽

10.1007/bf00535937 ◽

1988 ◽

Vol 58 (4) ◽

pp. 276-284 ◽

Cited By ~ 13

Author(s):

W. Eidel ◽

H. F. Bauer

Keyword(s):

Liquid Column ◽

Zero Gravity ◽

Inviscid Liquid ◽

Non Linear

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On super free fall

Journal of Fluid Mechanics ◽

10.1017/jfm.2013.144 ◽

2013 ◽

Vol 723 ◽

pp. 653-664 ◽

Cited By ~ 1

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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