Darcy’s Law for Yield Stress Fluids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2019

Darcy’s Law for Yield Stress Fluids

Résumé

Predicting the flow of non-Newtonian fluids in a porous structure is still a challenging issue due to the interplay between the microscopic disorder and the nonlinear rheology. In this Letter, we study the case of a yield stress fluid in a two-dimensional structure. Thanks to an efficient optimization algorithm, we show that the system undergoes a continuous phase transition in the behavior of the flow, controlled by the applied pressure difference. In analogy with studies of plastic depinning of vortex lattices in high−Tc superconductors, we characterize the nonlinearity of the flow curve and relate it to the change in the geometry of the open channels. In particular, close to the transition, a universal scale-free distribution of the channel length is observed and explained theoretically via a mapping to the Kardar-Parisi-Zhang equation.
Fichier principal
Vignette du fichier
liu19 - Darcy's Law for Yield Stress Fluids.pdf (2.7 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02165315 , version 1 (16-08-2021)

Identifiants

Citer

Chen Liu, Andrea de Luca, Alberto Rosso, Laurent Talon. Darcy’s Law for Yield Stress Fluids. Physical Review Letters, 2019, 122 (24), pp.245502. ⟨10.1103/PhysRevLett.122.245502⟩. ⟨hal-02165315⟩
36 Consultations
27 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More