Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

Grégoire Allaire; Robert Brizzi; Andro Mikelić; Andrey Piatnitski

doi:10.1016/j.ces.2009.09.010

Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

Grégoire Allaire
, Robert Brizzi
, Andro Mikelić
, Andrey Piatnitski

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

Abstract

In this work we study reactive flows through porous media. We suppose dominant Péclet's number, dominant Damköhler's number and general linear reactions at the pore boundaries. Our goal is to obtain the dispersion tensor and the upscaled model. We introduce the multiple scale expansions with drift for the problem and use this technique to upscale the reactive flow equations. Our result is illustrated with numerical simulations for the dispersion tensor.

Original language	English
Pages (from-to)	2292-2300
Number of pages	9
Journal	Chemical Engineering Science
Volume	65
Issue number	7
DOIs	https://doi.org/10.1016/j.ces.2009.09.010
Publication status	Published - 1 Jan 2010

Keywords

High Damköhler number
High Péclet number
Multiple scale expansions with drift
Reactive flows through porous media
Taylor's dispersion

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10.1016/j.ces.2009.09.010

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title = "Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media",

abstract = "In this work we study reactive flows through porous media. We suppose dominant P{\'e}clet's number, dominant Damk{\"o}hler's number and general linear reactions at the pore boundaries. Our goal is to obtain the dispersion tensor and the upscaled model. We introduce the multiple scale expansions with drift for the problem and use this technique to upscale the reactive flow equations. Our result is illustrated with numerical simulations for the dispersion tensor.",

keywords = "High Damk{\"o}hler number, High P{\'e}clet number, Multiple scale expansions with drift, Reactive flows through porous media, Taylor's dispersion",

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AU - Allaire, Grégoire

AU - Brizzi, Robert

AU - Mikelić, Andro

AU - Piatnitski, Andrey

PY - 2010/1/1

Y1 - 2010/1/1

N2 - In this work we study reactive flows through porous media. We suppose dominant Péclet's number, dominant Damköhler's number and general linear reactions at the pore boundaries. Our goal is to obtain the dispersion tensor and the upscaled model. We introduce the multiple scale expansions with drift for the problem and use this technique to upscale the reactive flow equations. Our result is illustrated with numerical simulations for the dispersion tensor.

AB - In this work we study reactive flows through porous media. We suppose dominant Péclet's number, dominant Damköhler's number and general linear reactions at the pore boundaries. Our goal is to obtain the dispersion tensor and the upscaled model. We introduce the multiple scale expansions with drift for the problem and use this technique to upscale the reactive flow equations. Our result is illustrated with numerical simulations for the dispersion tensor.

KW - High Damköhler number

KW - High Péclet number

KW - Multiple scale expansions with drift

KW - Reactive flows through porous media

KW - Taylor's dispersion

UR - https://www.scopus.com/pages/publications/77649117913

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DO - 10.1016/j.ces.2009.09.010

M3 - Article

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SN - 0009-2509

VL - 65

SP - 2292

EP - 2300

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 7

ER -

Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

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Keywords

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