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Dispersion coefficients from a field-theoretic renormalization of fluid mechanics
1Chemical Engineering Department, University of California, Los Angeles, California 90095-1592, USA.
Physical Review Letters
|November 3, 2001
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 Péclet 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 Péclet numbers.