Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation
Fluid Dynamics
2009-11-07 v1
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-Stokes equation. We compare 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.
Keywords
Cite
@article{arxiv.physics/0110081,
title = {Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation},
author = {Jens Eggers and Todd F. Dupont},
journal= {arXiv preprint arXiv:physics/0110081},
year = {2009}
}