Skip to Main content Skip to Navigation
Journal articles

The filamentary structure of mixing fronts and its control on reaction kinetics in porous media flows

Abstract : The mixing dynamics resulting from the combined action of diffusion, dispersion, and advective stretching of a reaction front in heterogeneous flows leads to reaction kinetics that can differ by orders of magnitude from those measured in well-mixed batch reactors. The reactive fluid invading a porous medium develops a filamentary or lamellar front structure. Fluid deformation leads to an increase of the front length by stretching and consequently a decrease of its width by compression. This advective front deformation, which sharpens concentration gradients across the interface, is in competition with diffusion, which tends to increase the interface width and thus smooth concentration gradients. The lamella scale dynamics eventually develop into a collective behavior through diffusive coalescence, which leads to a disperse interface whose width is controlled by advective dispersion. We derive a new approach that quantifies the impact of these filament scale processes on the global mixing and reaction kinetics. The proposed reactive filament model, based on the elementary processes of stretching, coalescence, and fluid particle dispersion, provides a new framework for predicting reaction front kinetics in heterogeneous flows.
Document type :
Journal articles
Complete list of metadatas

Cited literature [34 references]  Display  Hide  Download

https://hal-insu.archives-ouvertes.fr/insu-01053589
Contributor : Isabelle Dubigeon <>
Submitted on : Thursday, July 31, 2014 - 2:13:48 PM
Last modification on : Wednesday, August 7, 2019 - 11:44:06 AM
Long-term archiving on: : Tuesday, April 11, 2017 - 6:55:18 PM

File

DeAnna-GRL2014.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Pietro de Anna, Marco Dentz, Alexandre Tartakovsky, Tanguy Le Borgne. The filamentary structure of mixing fronts and its control on reaction kinetics in porous media flows. Geophysical Research Letters, American Geophysical Union, 2014, 41 (13), pp.4586-4593. ⟨10.1002/2014GL060068⟩. ⟨insu-01053589⟩

Share

Metrics

Record views

234

Files downloads

395