The Asymptotic Scaling Behavior of Mixing Induced by a Random Velocity Field

Q. Zhang

doi:10.1006/aama.1995.1002

The Asymptotic Scaling Behavior of Mixing Induced by a Random Velocity Field

Q. Zhang

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

16 Citations (Scopus)

Abstract

The asymptotic scaling behavior of the mixing region induced by a random velocity field is determined by applying Corrsin′s hypothesis in both the Eulerian and Lagrangian pictures. Both pictures lead to the same results for the asymptotic scaling exponent of the mixing region. Both longitudinal and transverse diffusion are asymptotically non-Fickian (Fickian) when the correlation function of the random field decays more slowly (rapidly) than r^-1 at large length scales. © 1995 Academic Press. All rights reserved.

Original language	English
Pages (from-to)	23-58
Journal	Advances in Applied Mathematics
Volume	16
Issue number	1
DOIs	https://doi.org/10.1006/aama.1995.1002
Publication status	Published - Mar 1995
Externally published	Yes

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AB - The asymptotic scaling behavior of the mixing region induced by a random velocity field is determined by applying Corrsin′s hypothesis in both the Eulerian and Lagrangian pictures. Both pictures lead to the same results for the asymptotic scaling exponent of the mixing region. Both longitudinal and transverse diffusion are asymptotically non-Fickian (Fickian) when the correlation function of the random field decays more slowly (rapidly) than r-1 at large length scales. © 1995 Academic Press. All rights reserved.

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The Asymptotic Scaling Behavior of Mixing Induced by a Random Velocity Field

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