Residence-time distributions for chaotic flows in pipes
- Creators
- Mezić, Igor
- Wiggins, Stephen
- Betz, David
Abstract
In this paper we derive two rigorous properties of residence-time distributions for flows in pipes and mixers motivated by computational results of Khakhar et al. [Chem. Eng. Sci. 42, 2909 (1987)], using some concepts from ergodic theory. First, a curious similarity between the isoresidence-time plots and Poincaré maps of the flow observed in Khakhar et al. is resolved. It is shown that in long pipes and mixers, Poincaré maps can serve as a useful guide in the analysis of isoresidence-time plots, but the two are not equivalent. In particular, for long devices isoresidence-time sets are composed of orbits of the Poincaré map, but each isoresidence-time set can be comprised of many orbits. Second, we explain the origin of multimodal residence-time distributions for nondiffusive motion of particles in pipes and mixers. It is shown that chaotic regions in the Poincaré map contribute peaks to the appropriately defined and rescaled axial distribution functions.
Additional Information
Copyright © 1999 American Institute of Physics. Received 13 April 1998; accepted for publication 30 December 1998. This research was partially supported by ONR. Grant No. N00014-98-1-0056 and AFOSR Grant No. F49620-97-1-0293 to I.M. and ONR Grant No. N00014-97-1-0071 to S.W.Files
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Additional details
- Eprint ID
- 1705
- Resolver ID
- CaltechAUTHORS:MEZchaos99
- Created
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2006-02-13Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field