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Chaotic advection in three-dimensional unsteady incompressible laminar flow

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.

preprint1995arXivOpen access
Julyan H. E. CartwrightMario FeingoldOreste Piro
chao-dynnlin.CDphysics.flu-dyn
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Julyan H. E. CartwrightMario FeingoldOreste Piro

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