DROP FORMATION IN A ONE-DIMENSIONAL APPROXIMATION OF THE NAVIER-STOKES EQUATION

Authors
EGGERS J DUPONT TF
Citation
J. Eggers et Tf. Dupont, DROP FORMATION IN A ONE-DIMENSIONAL APPROXIMATION OF THE NAVIER-STOKES EQUATION, Journal of Fluid Mechanics, 262, 1994, pp. 205-221
Citations number
24
Categorie Soggetti
Mechanics,"Phsycs, Fluid & Plasmas
Journal title
Journal of Fluid Mechanics → ACNP
ISSN journal
00221120
Volume
262
Year of publication
1994
Pages
205 - 221
Database
ISI
SICI code
0022-1120(1994)262:<205:DFIAOA>2.0.ZU;2-X
Abstract
We consider the viscous motion of a thin axisymmetric column of fluid with a free surface. A one-dimensional equation of motion for the velo city and the radius is derived from the Navier-Stokes equation. We com pare our results with recent experiments on the breakup of a liquid je t and on the bifurcation of a drop suspended from an orifice. The equa tions form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.