Mezić, Igor and Wiggins, Stephen (1994) On the dynamical origin of asymptotic t^2 dispersion of a nondiffusive tracer in incompressible laminar flows. Physics of Fluids, 6 (6). pp. 2227-2229. ISSN 1070-6631. http://resolver.caltech.edu/CaltechAUTHORS:MEZpof94
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Using an elementary application of Birkhoff's ergodic theorem, necessary and sufficient conditions are given for the existence of asymptotically t^2 dispersion of a distribution of nondiffusive passive tracer in a class of incompressible laminar flows. Nonergodicity is shown to be the dynamical mechanism giving rise to this behavior.
|Additional Information:||Copyright © 1994 American Institute of Physics (Received 17 December 1993; accepted 24 February 1994) We would like to thank John Brady for a critical reading of this note. This work was supported by an NSF Presidential Young Investigator Award, ONR Grant No. N00014-89-J-3023, and AFOSR Grant No. AFOSR910241.|
|Subject Keywords:||INCOMPRESSIBLE FLOW; LAMINAR FLOW; TRACER TECHNIQUES; ERGODIC HYPOTHESIS; ASYMPTOTIC SOLUTION; CHAOTIC SYSTEMS; TRANSPORT PROCESSES; DYNAMICAL SYSTEMS; VELOCITY FIELDS|
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|Deposited On:||08 Dec 2006|
|Last Modified:||26 Dec 2012 09:21|
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