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Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation

Jens Eggers·Todd F. Dupont
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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-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.

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Jens Eggers, Todd F. Dupont. 2001-10-28. Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation. https://doi.org/10.1017/s0022112094000480

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