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Drop formation in a one-dimensional approximation of the Navier–Stokes equation

Published online by Cambridge University Press:  26 April 2006

Jens Eggers  and
Todd F. Dupont
Jens Eggers
Affiliation:
Department of Mathematics and the James Franck Institute, the University of Chicago, 5734 University Avenue, Chicago, IL 60637, USA Present address: Universität GH Essen, FB7, 45117 Essen, Germany.
Todd F. Dupont
Affiliation:
Department of Computer Science, the University of Chicago, 1100 East 58th Street, Chicago, IL 60637, USA
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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 velocity and the radius is derived from the Navier–Strokes equation. We compare our results with recent experiments on the breakup of a liquid jet and on the bifurcation of a drop suspended from an orifice. The equations form singularities as the fluid neck is pinching off. The nature of the singularities is investigated in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 262 , 3 October 1994 , pp. 205 - 221
Copyright
© 1994 Cambridge University Press

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