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Chaotic advection in three-dimensional unsteady incompressible laminar flow

Published online by Cambridge University Press:  26 April 2006

Julyan H. E. Cartwright ,
Mario Feingold  and
Oreste Piro
Julyan H. E. Cartwright
Affiliation:
Departament de Física, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain; email julyan@hp1.uib.es; piro@hp1.uib.es Centre de Càlcul i Informatització, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain
Mario Feingold
Affiliation:
Department of Physics, Ben-Gurion University, Beer-Sheva 84105, Israel; email mario@bgumail.bgu.ac.il
Oreste Piro
Affiliation:
Departament de Física, Universitat de les Illes Balears, 07071 Palma de Mallorca, Spain; email julyan@hp1.uib.es; piro@hp1.uib.es Institut Mediterrani d’Estudis Avançats (CSIC–UIB), 07071 Palma de Mallorca, Spain
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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 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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 316 , 10 June 1996 , pp. 259 - 284
Copyright
© 1996 Cambridge University Press

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