1995/05/01 by Jens Eggers
Engineering · Mathematics · Physics and Astronomy · #Continuation #Drop (telecommunication) #Equations of motion #Fluid Dynamics and Thin Films #Fluid dynamics #Fluid dynamics and aerodynamics studies #Fluid motion #Navier-Stokes equation solutions #Rotational symmetry #Scaling #Surface (topology) #Zero (linguistics) #physics.flu-dyn
paper · pdf · doi:10.1063/1.868570
published as Physics of Fluids 7, 941-953 (1994)
openalex publication_date 1995/05/01 · arxiv created 2001/11/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The motion of an axisymmetric column of Navier–Stokes fluid with a free surface is considered. 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. The asymptotic solutions of the Navier–Stokes equation are calculated, both before and after the singularity. The solutions have scaling form, characterized by universal exponents as well as universal scaling functions, which are computed without adjustable parameters.