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Chaotic advection in three-dimensional unsteady incompressible laminar flow

Julyan H. E. Cartwright·Mario Feingold·Oreste Piro
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Abstract

We discuss chaotic advection in three-dimensional unsteady incompressible laminar flow, and analyse in detail the most important novel advection phenomenon in these flows; the global dispersion of passive scalars in flows with two slow and one fast velocity components. We make a comprehensive study of the first model of an experimentally realizable flow to exhibit this {\it resonance-induced\/} dispersion: biaxial unsteady spherical Couette flow is a three-dimensional incompressible laminar flow with periodic time dependence derived analytically from the Navier--Stokes equations in the low-Reynolds-number limit.

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Julyan H. E. Cartwright, Mario Feingold, Oreste Piro. 1995-08-16. Chaotic advection in three-dimensional unsteady incompressible laminar flow. https://doi.org/10.1017/s0022112096000535

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