Effective Rheology of Bi-viscous Non-newtonian Fluids in Porous Media

被引：6

作者：

Talon, Laurent ^{[1
]}

Hansen, Alex ^{[2
]}

机构：

[1] Univ Paris Saclay, CNRS, UPMC, Lab FAST,Univ Paris Sud, Orsay, France

[2] Norwegian Univ Sci & Technol, Dept Phys, PoreLab, Trondheim, Norway

来源：

FRONTIERS IN PHYSICS | 2020年 / 7卷 / 07期

关键词：

porous media; non-newtonian fluid; percolation; critical system; non-linear Darcy law; DIRECTED POLYMERS; FLOW;

D O I：

10.3389/fphy.2019.00225

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We model the flow of bi-viscous non-Newtonian fluids in porous media by a square lattice where the links obey a piece-wise linear constitutive equation. We find numerically that the flow regime, where the network transitions from all links behaving according to the first linear part of the constitutive equation to all links behaving according to the second linear part of the constitutive equation, is characterized by a critical point. We measure two critical exponents associated with this critical point, one of them being the correlation length exponent. We find that both critical exponents depend on the parameters of the model.

引用

页数：11

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