Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method
- 1 February 2000
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 12 (2) , 269-282
- https://doi.org/10.1063/1.870305
Abstract
A spherical drop, placed in a second liquid of the same density, is subjected to shearing between parallel plates. The subsequent flow is investigated numerically with a volume-of-fluid (VOF) method. The scheme incorporates a semi-implicit Stokes solver to enable computations at low Reynolds number. Our simulations compare well with previous theoretical, numerical, and experimental results. For capillary numbers greater than the critical value, the drop deforms to a dumbbell shape and daughter drops detach via an end-pinching mechanism. The number of daughter drops increases with the capillary number. The breakup can also be initiated by increasing the Reynolds number.Keywords
This publication has 26 references indexed in Scilit:
- Influence of Surfactant on Rounded and Pointed Bubbles in Two-Dimensional Stokes FlowSIAM Journal on Applied Mathematics, 1999
- A numerical study of periodic disturbances on two-layer Couette flowPhysics of Fluids, 1998
- Drop breakup in three-dimensional viscous flowsPhysics of Fluids, 1998
- Shear Rupturing of Droplets in Complex FluidsLangmuir, 1997
- Numerical simulation of a concentrated emulsion in shear flowJournal of Fluid Mechanics, 1996
- Dynamics of Drop Deformation and Breakup in Viscous FluidsAnnual Review of Fluid Mechanics, 1994
- An experimental investigation of drop deformation and breakup in steady, two-dimensional linear flowsJournal of Fluid Mechanics, 1986
- The Deformation of Small Viscous Drops and Bubbles in Shear FlowsAnnual Review of Fluid Mechanics, 1984
- The formation of emulsions in definable fields of flowProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934
- The viscosity of a fluid containing small drops of another fluidProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1932