Strong pinning of propagation fronts in adverse flow - Laboratoire de Physique Théorique de l'Ecole Normale Supérieure Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2014

Strong pinning of propagation fronts in adverse flow

Résumé

Reaction fronts evolving in a porous medium exhibit a rich dynamical behaviour. In presence of an adverse flow, experiments show that the front slows down and eventually gets pinned, displaying a particular sawtooth shape. Extensive numerical simulations of the hydrodynamic equations confirm the experimental observations. Here we propose a stylized model, predicting two possible outcomes of the experiments for large adverse flow: either the front develops a sawtooth shape, or it acquires a complicated structure with islands and overhangs. A simple criterion allows to distinguish between the two scenarios and its validity is reproduced by direct hydrodynamical simulations. Our model gives a better understanding of the transition and is relevant in a variety of domains, when the pinning regime is strong and only relies on a small number of sites.
Fichier principal
Vignette du fichier
1402.3416.pdf (607.23 Ko) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-01006644 , version 1 (25-01-2024)

Identifiants

Citer

Thomas Gueudré, Awadhesh Kumar Dubey, Laurent Talon, Alberto Rosso. Strong pinning of propagation fronts in adverse flow. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 89, pp.041004. ⟨10.1103/PhysRevE.89.041004⟩. ⟨hal-01006644⟩
187 Consultations
2 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More