Theory of Drop Formation
Fluid Dynamics
2009-11-07 v1
Abstract
We consider the motion of an axisymmetric column of Navier-Stokes fluid with a free surface. Due to surface tension, the thickness of the fluid neck goes to zero in finite time. After the singularity, the fluid consists of two halves, which constitute a unique continuation of the Navier-Stokes equation through the singular point. We calculate the asymptotic solutions of the Navier-Stokes equation, both before and after the singularity. The solutions have scaling form, characterized by universal exponents as well as universal scaling functions, which we compute without adjustable parameters.
Cite
@article{arxiv.physics/0111003,
title = {Theory of Drop Formation},
author = {Jens Eggers},
journal= {arXiv preprint arXiv:physics/0111003},
year = {2009}
}