Misc,

Localized Shear Generates Three-dimensional Chaos

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(Aug 9, 2016)

Abstract

Understanding the mechanisms that control 3D fluid transport is central to many processes including mixing, chemical reaction and biological activity. Here a novel mechanism for 3D transport is uncovered where fluid particles are kicked between streamlines near a localized shear, which occurs in many flows and materials. This results in 3D transport similar to Resonance Induced Dispersion (RID); the new mechanism is more rapid and mutually incompatible with RID. We explore its governing impact with a simple model and model fluid flow. We show that transitions from 1D to 2D and 2D to 3D transport occur based on the relative magnitudes of streamline jumps in two transverse directions.

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