TY - JOUR
T1 - On super free fall
AU - Torres, A.
AU - Medina, A.
AU - Higuera, F. J.
AU - Weidman, P. D.
PY - 2013/5
Y1 - 2013/5
N2 - Villermaux & 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.
AB - Villermaux & 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.
KW - interfacial flows (free surface)
UR - http://www.scopus.com/inward/record.url?scp=84880254493&partnerID=8YFLogxK
U2 - 10.1017/jfm.2013.144
DO - 10.1017/jfm.2013.144
M3 - Artículo
SN - 0022-1120
VL - 723
SP - 653
EP - 664
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -