Generating topological chaos in lid-driven cavity flow

by: Mark A Stremler, Jie Chen

Physics of Fluids, Vol. 19, No. 10. (2007)

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Abstract

Periodic motion of three stirrers in a two-dimensional flow can lead to chaotic transport of the surrounding fluid. For certain stirrer motions, the generation of chaos is guaranteed solely by the topology of that motion and continuity of the fluid. Work in this area has focused largely on using physical rods as stirrers, but the theory also applies when the “stirrers” are passive fluid particles. We demonstrate the occurrence of topological chaos for Stokes flow in a two-dimensional lid-driven cavity without internal rods. This approach to stirring can enhance mixing relative to a “standard” chaos-generating lid-driven cavity flow. ©2007 American Institute of Physics

@article{citeulike:1776203, abstract = {Periodic motion of three stirrers in a two-dimensional flow can lead to chaotic transport of the surrounding fluid. For certain stirrer motions, the generation of chaos is guaranteed solely by the topology of that motion and continuity of the fluid. Work in this area has focused largely on using physical rods as stirrers, but the theory also applies when the \“stirrers\” are passive fluid particles. We demonstrate the occurrence of topological chaos for Stokes flow in a two-dimensional lid-driven cavity without internal rods. This approach to stirring can enhance mixing relative to a \“standard\” chaos-generating lid-driven cavity flow. \©2007 American Institute of Physics}, author = {Stremler, Mark A. and Chen, Jie }, citeulike-article-id = {1776203}, doi = {http://dx.doi.org/10.1063/1.2772881}, journal = {Physics of Fluids}, keywords = {cavity, chaos, mixing}, number = {10}, posted-at = {2007-10-16 21:07:13}, priority = {2}, publisher = {AIP}, title = {Generating topological chaos in lid-driven cavity flow}, url = {http://dx.doi.org/10.1063/1.2772881}, volume = {19}, year = {2007} }

RIS record

TY - JOUR ID - citeulike:1776203 L3 - citeulike-article-id:1776203 TI - Generating topological chaos in lid-driven cavity flow JF - Physics of Fluids VL - 19 IS - 10 PB - AIP N2 - Periodic motion of three stirrers in a two-dimensional flow can lead to chaotic transport of the surrounding fluid. For certain stirrer motions, the generation of chaos is guaranteed solely by the topology of that motion and continuity of the fluid. Work in this area has focused largely on using physical rods as stirrers, but the theory also applies when the “stirrers” are passive fluid particles. We demonstrate the occurrence of topological chaos for Stokes flow in a two-dimensional lid-driven cavity without internal rods. This approach to stirring can enhance mixing relative to a “standard” chaos-generating lid-driven cavity flow. ©2007 American Institute of Physics KW - cavity KW - chaos KW - mixing AU - Stremler, Mark AU - Chen, Jie PY - 2007/// UR - http://dx.doi.org/10.1063/1.2772881 ER -

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