Chaotic advection in three-dimensional unsteady incompressible laminar flow
- 10 June 1996
- journal article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 316, 259-284
- https://doi.org/10.1017/s0022112096000535
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 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.Keywords
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