Theory of Drop Formation

Details Theory of Drop Formation Theory of Drop Formation

2001-11-02

arxiv.org/abs/physics/0111003v1

Physics of Fluids 7, 941-953 (1994)

Physics

Fluid Dynamics

Scientific paper

10.1063/1.868570

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.

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