An ellipsoidal droplet model for dilute emulsions: Application to complex mixing flows

C. L. Tucker, C. A. Florek, T. Pham

Research output: Contribution to journalArticlepeer-review

Abstract

A compact droplet model and numerical simulation are used to examine the behavior of multiphase fluids in complex mixing flows. The two-dimensional, time-periodic fluid between eccentric cylinders is used as a prototypical chaotic mixing flow. The multiphase fluid is a dilute dispersion of Newtonian droplets in a Newtonian matrix. The droplets are assumed to be much smaller than the mixer dimensions, and to have no interfacial tension, a situation for which there is an exact, yet compact, model for droplet deformation. We examine the spatial distribution of droplet stretching, as well as global stretching statistics, for a variety of droplet-to-matrix viscosity ratios. Chaotic flows are able to stretch high-viscosity droplets (which cannot be stretched in simple shear flow), and many features of the stretching statistics follow the "universal" laws for chaotic mixing of passive fluids.

Original languageEnglish (US)
Pages (from-to)253-262
Number of pages10
JournalAdvances in Fluid Mechanics
Volume37
StatePublished - Aug 5 2004

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Mechanical Engineering

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