Chaotic advection in three-dimensional unsteady incompressible laminar flow

07071 Palma de Mallorca; Beer-Sheva 84105; Ben-Gurion University; Israel); Julyan H. E. Cartwright(1); Mario Feingold(2); Oreste Piro(1) ((1)Departament de F\'isica; Spain. (2)Department of Physics; Universitat de les Illes Balears

arxiv: chao-dyn/9504012 · v2 · pith:OKIERRSKnew · submitted 1995-04-18 · chao-dyn · nlin.CD· physics.flu-dyn

Chaotic advection in three-dimensional unsteady incompressible laminar flow

Julyan H. E. Cartwright(1) , Mario Feingold(2) , Oreste Piro(1) ((1)Departament de F\'isica , Universitat de les Illes Balears , 07071 Palma de Mallorca , Spain. (2)Department of Physics , Ben-Gurion University , Beer-Sheva 84105

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classification chao-dyn nlin.CDphysics.flu-dyn

keywords flowadvectionincompressiblelaminarthree-dimensionalunsteadychaoticdispersion

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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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Chaotic advection in three-dimensional unsteady incompressible laminar flow

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