@article{38886, keywords = {systems, transport, expansion, separation, laminar, stokes-flow}, author = {Barkley and Karniadakis and Kevrekidis and ZH SHEN and Smits}, title = {CHAOTIC ADVECTION IN A COMPLEX ANNULAR GEOMETRY}, abstract = { 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. }, year = {1991}, journal = {Physics of Fluids a-Fluid DynamicsPhysics of Fluids a-Fluid Dynamics}, volume = {3}, pages = {1063-1067}, month = {05/1991}, isbn = {0899-8213}, language = {English}, }