Chaotic advection in a complex annular geometry

Dwight Barkley, George Em Karniadakis, Ioannis G. Kevrekidis, Zhen Hua Shen, Alexander J. Smits

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


The dynamics of Lagrangian particles in a complex geometry is studied, both experimentally and through a full numerical simulation of the Navier-Stokes equations. The geometry is an annulus whose walls can be rotated independently. Stationary cylindrical rods can be positioned within the annulus in several arrangements. A variety of heteroclinic orbits are found at low Reynolds numbers, where the fluid flow is steady. As the flow becomes unsteady to a time-periodic (two-dimensional) state, it spontaneously gives rise to heteroclinic tangles that provide the organizing structure for the chaotic motion of fluid particles.

Original languageEnglish (US)
Pages (from-to)1063-1067
Number of pages5
JournalPhysics of Fluids A
Issue number5
StatePublished - 1991

All Science Journal Classification (ASJC) codes

  • General Engineering


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