Abstract
We consider the breakup of a fluid thread, neglecting the effect of the outside fluid (or air). After breakup, the solution of the fluid equations consists of two threads, receding rapidly from the point of breakup. We show that the bulk of each thread is described by a similarity solution of slender geometry (which we call the thread solution), but which breaks down near the tip. Near the tip of the thread the thread solution can be matched to a solution of Stokes' equation, which consists of a finger of constant spatial radius, rounded at the end. Very close to breakup, the thread solution balances inertia, viscosity, and surface tension (NavierStokes case). If however the fluid viscosity is large (as measured by the dimensionless Ohnesorge number), some time after breakup the thread solution consists of a balance of surface tension and viscosity only (Stokes case), and the thread profile can be described analytically.
Original language  English 

Article number  072104 
Journal  Physics of Fluids 
Volume  26 
Issue number  7 
DOIs  
Publication status  Published  2014 
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Professor Jens G Eggers
 Cabot Institute for the Environment
 Applied Mathematics
 School of Mathematics  Professor of Applied Mathematics
 Fluids and materials
Person: Academic , Member