Stability of a deforned finite length inviscid liquid column

1996 ◽  
Vol 33 (6) ◽  
pp. 887-889
Author(s):  
M. J. Lyell
1988 ◽  
Vol 58 (4) ◽  
pp. 276-284 ◽  
Author(s):  
W. Eidel ◽  
H. F. Bauer

1999 ◽  
Vol 134 (1-2) ◽  
pp. 45-60
Author(s):  
L. Zhang ◽  
M. J. Lyell

1969 ◽  
Vol 91 (3) ◽  
pp. 341-351 ◽  
Author(s):  
F. J. Tarantine ◽  
W. T. Rouleau

An investigation has been made of the pressure attenuation that can be obtained through the application of a rigid tapered section located immediately upstream of a quick-closing valve or other surge-generating device. The model taken was that of an inviscid liquid flowing through the rigid tapered tube terminated by either a very long uniform line or a finite-length line and reservoir. This paper presents an outline of a theoretical method for solving the given problem, along with some practical solutions. A description and the results of experimental work performed to substantiate the theory are also included.


2013 ◽  
Vol 723 ◽  
pp. 653-664 ◽  
Author(s):  
A. Torres ◽  
A. Medina ◽  
F. J. Higuera ◽  
P. D. Weidman

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.


Sign in / Sign up

Export Citation Format

Share Document