A generalized Taylor-Aris formula and skew diffusion

Jorge M. Ramirez; Enrique A. Thomann; Edward C. Waymire; Roy Haggerty; Brian Wood

doi:10.1137/050642770

A generalized Taylor-Aris formula and skew diffusion

Jorge M. Ramirez, Enrique A. Thomann, Edward C. Waymire, Roy Haggerty, Brian Wood

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

This paper concerns the Taylor-Aris dispersion of a dilute solute concentration immersed in a highly heterogeneous fluid flow having possibly sharp interfaces (discontinuities) in the diffusion coefficient and flow velocity. The focus is twofold: (i) calculation of the longitudinal effective dispersion coefficient and (ii) sample path analysis of the underlying stochastic process governing the motion of solute particles. Essentially complete solutions are obtained for both problems.

Original language	English
Pages (from-to)	786-801
Number of pages	16
Journal	Multiscale Modeling and Simulation
Volume	5
Issue number	3
DOIs	https://doi.org/10.1137/050642770
State	Published - Sep 2006
Externally published	Yes

Keywords

Dispersion
Effective dispersion
Heterogeneous media
Skew Brownian motion

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10.1137/050642770

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AU - Haggerty, Roy

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AB - This paper concerns the Taylor-Aris dispersion of a dilute solute concentration immersed in a highly heterogeneous fluid flow having possibly sharp interfaces (discontinuities) in the diffusion coefficient and flow velocity. The focus is twofold: (i) calculation of the longitudinal effective dispersion coefficient and (ii) sample path analysis of the underlying stochastic process governing the motion of solute particles. Essentially complete solutions are obtained for both problems.

KW - Dispersion

KW - Effective dispersion

KW - Heterogeneous media

KW - Skew Brownian motion

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A generalized Taylor-Aris formula and skew diffusion

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Keywords

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