Chaotic advection in three-dimensional unsteady incompressible laminar flow

Julyan H.E. Cartwright, Mario Feingold, Oreste Piro

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

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.

Original languageEnglish
Pages (from-to)259-284
Number of pages26
JournalJournal of Fluid Mechanics
Volume316
DOIs
StatePublished - 10 Jun 1996

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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