Convective dispersion without molecular diffusion

Kevin D. Dorfman and Howard Brenner

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 180-194

Abstract: A method-of-moments scheme is invoked to compute the asymptotic, long-time mean (or composite) velocity and dispersivity (effective diffusivity) of a two-state particle undergoing one-dimensional convective–diffusive motion accompanied by a reversible linear transition (“chemical reaction” or “change in phase”) between these states. The instantaneous state-specific particle velocity is assumed to depend only upon the instantaneous state of the particle, and the transition between states is assumed to be governed by spatially independent, first-order kinetics. Remarkably, even in the absence of molecular diffusion, the average transport of the “composite” particle exhibits gaussian diffusive behavior in the long-time limit, owing to the effectively stochastic nature of the overall transport phenomena induced by the interstate transition. The asymptotic results obtained are compared with numerical computations.

Keywords: Homogenization; Brownian motion; Macrotransport theory; Generalized Taylor dispersion (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:180-194

DOI: 10.1016/S0378-4371(03)00027-X

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