1994/10/03 by Jens Eggers, Todd F. Dupont · 3 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Aquatic and Environmental Studies #Bifurcation #Body orifice #Breakup #Classical mechanics #Coastal and Marine Dynamics #Compressibility #Drop (telecommunication) #Fluid Dynamics and Heat Transfer #Gravitational singularity #Mathematical analysis #Mathematics #Mechanics #Navier–Stokes equations #Nonlinear system #Physics #RADIUS #Rotational symmetry #Singularity #Viscous liquid #physics.flu-dyn
paper · pdf · doi:10.1017/s0022112094000480
published as published in Journal of Fluid Mechanics vol. 262, pp. 205-221 (1994)
openalex publication_date 1994/10/03 · arxiv created 2001/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.