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Dispersion Coefficients by a Field-Theoretic Renormalization of Fluid Mechanics

Michael W. Deem·Jeong-Man Park
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Abstract

We consider subtle correlations in the scattering of fluid by randomly placed obstacles, which have been suggested to lead to a diverging dispersion coefficient at long times for high Peclet numbers, in contrast to finite mean-field predictions. We develop a new master equation description of the fluid mechanics that incorporates the physically relevant fluctuations, and we treat those fluctuations by a renormalization group procedure. We find a finite dispersion coefficient at low volume fraction of disorder and high Peclet numbers.

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Michael W. Deem, Jeong-Man Park. 2001-09-10. Dispersion Coefficients by a Field-Theoretic Renormalization of Fluid Mechanics. https://doi.org/10.1103/physrevlett.87.174503

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