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Effective dispersion equations for reactive flows involving free boundaries at the microscale
Eindhoven University of Technology, Netherlands.
Eindhoven University of Technology, Netherlands.
Eindhoven University of Technology, Netherlands.
2011 (English)In: Multiscale Modeling & simulation, ISSN 1540-3459, E-ISSN 1540-3467, Vol. 9, no 1, p. 29-58Article in journal (Refereed) Published
Abstract [en]

We consider a pore-scale model for reactive flow in a thin two-dimensional strip, where the convective transport dominates the diffusion. Reactions take place at the lateral boundaries of the strip (the walls), where the reaction product can deposit in a layer with a nonnegligible thickness compared to the width of the strip. This leads to a free boundary problem, in which the moving interface between the fluid and the deposited (solid) layer is explicitly taken into account. Using asymptotic expansion methods, we derive an upscaled, one-dimensional model by averaging in the transversal direction. The result is consistent with (Taylor dispersion) models obtained previously for a constant geometry. Finally, numerical computations are presented to compare the outcome of the effective (upscaled) model with the transversally averaged, two-dimensional solution.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2011. Vol. 9, no 1, p. 29-58
National Category
Computational Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-69327DOI: 10.1137/100804553OAI: oai:DiVA.org:kau-69327DiVA, id: diva2:1253821
Available from: 2018-10-06 Created: 2018-10-06 Last updated: 2018-10-23Bibliographically approved

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Kumar, Kundan

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