## 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 language | English (US) |
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Pages (from-to) | 253-262 |

Number of pages | 10 |

Journal | Advances in Fluid Mechanics |

Volume | 37 |

State | Published - Aug 5 2004 |

## ASJC Scopus subject areas

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