Critical behavior of drops in linear flows. I. Phenomenological theory for drop dynamics near critical stationary states
Abstract
The dynamics of viscous drops in linear creeping flows are investigated near the critical flow strength at which stationary drop shapes cease to exist. According to our theory the nearcritical behavior of drops is dominated by a single slow mode evolving on a time scale that diverges at the critical point with exponent 1/2. The theory is based on the assumption that the system undergoes a saddlenode bifurcation. The predictions have been verified by numerical simulations for drops in axisymmetric straining flow and in twodimensional flows with less vorticity than in shear flow. Application of our theory to the accurate determination of critical parameters is discussed.
 Publication:

Physics of Fluids
 Pub Date:
 August 2002
 DOI:
 10.1063/1.1485076
 Bibcode:
 2002PhFl...14.2709B
 Keywords:

 drops;
 critical phenomena;
 twophase flow;
 viscosity;
 creeping flow;
 shear flow;
 Creep Properties;
 Critical Flow;
 Drop Size;
 Drops (Liquids);
 Flow Stability;
 Fluid Dynamics;
 Multiphase Flow;
 Phase Transformations;
 Shear Flow;
 Two Phase Flow;
 Viscosity;
 Viscous Flow;
 47.55.Kf;
 47.20.k;
 47.55.Dz;
 64.60.i;
 Fluid Mechanics and Thermodynamics;
 Particleladen flows;
 Flow instabilities;
 General studies of phase transitions