101. The Critical Conditions for Coalescence in Phase Field Simulations of Colliding Dropletsin Shear.
- Author
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Shardt, Orest, Mitra, Sushanta K., and Derksen, J. J.
- Subjects
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COALESCENCE (Chemistry) , *DROPLETS , *INTERFACES (Physical sciences) , *SHEAR (Mechanics) , *BOLTZMANN'S equation , *SIMULATION methods & models , *IMPACT (Mechanics) - Abstract
Simulationshave been performed using the free-energy binary-liquidlattice Boltzmann method with sufficient resolution that the criticalcapillary number for coalescence was determined for collisions betweendroplets in simple shear with a small initial offset in the sheargradient direction. The simulations were used to study the behaviorof the interacting interfaces and the film between them during collisionsover a wide range of capillary numbers with emphasis on near-criticalconditions. From these three-dimensional simulations with deforminginterfaces, several features of the evolution of the film betweenthe drops were observed. The critical film thickness was determinedto be similar to the interface thickness, a power law described thedependence of the minimum film thickness on the capillary number incollisions without coalescece, and an inflection point was found inthe dynamics of the minimum distance between drops that eventuallycoalesce. The rotation of the film and the flow in it were also studied,and a reversal in the flow was found to occur before coalescence.The mobility of the phase field was therefore important in the continuedthinning of the film at the points of minimum thickness after theflow reversal. A comparison of the critical capillary number and criticalfilm thickness in the simulations with the values for experimentsin confined simple shear indicated that the effective physical radiusof the simulated droplets was on the order of several micrometers.The results are significant for simulations of droplet interactionsand emulsion flows in complex geometries and turbulence because theydemonstrate the necessary scale of the computations and how parameters,such as the interface thickness and phase field mobility, should beselected for accurate results. [ABSTRACT FROM AUTHOR]
- Published
- 2014
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