Darcy's Law for Yield Stress Fluids

被引:15
|
作者
Liu, Chen [1 ]
De Luca, Andrea [2 ]
Rosso, Alberto [3 ]
Talon, Laurent [1 ]
机构
[1] Univ Paris Saclay, CNRS, FAST, Univ Paris Sud, F-91405 Orsay, France
[2] Univ Oxford, Theoret Phys, Parks Rd, Oxford OX1 3PU, England
[3] Univ Paris Saclay, Univ Paris Sud, CNRS, LPTMS, F-91405 Orsay, France
基金
欧盟地平线“2020”;
关键词
FLOW-THROUGH; DIRECTED POLYMERS; POROUS-MEDIA; FLUCTUATIONS;
D O I
10.1103/PhysRevLett.122.245502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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-T-c 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.
引用
收藏
页数:5
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