ANALYSIS OF THE EFFECTS OF A FISSURE FOR A NON-NEWTONIAN FLUID FLOW IN A POROUS MEDIUM

被引：7

作者：

Anguiano, Maria ^{[1
]}

Javier Suarez-Grau, Francisco ^{[2
]}

机构：

[1] Univ Seville, Fac Matemat, Dept Anal Matemat, POB 1160, Seville 41080, Spain

[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, POB 1160, Seville 41012, Spain

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2018年 / 16卷 / 01期

关键词：

non-Newtonian flow; Stokes equation; Darcy's law; porous medium; fissure; THIN FISSURE; HOMOGENIZATION; CONVERGENCE;

D O I：

10.4310/CMS.2018.v16.n1.a13

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solution of a non-Newtonian flow in a porous medium which characteristic size of the pores epsilon and containing a fissure of width eta epsilon. flow is described by the incompressible Stokes system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index 1 < r < +infinity. We consider the limit when size of the pores tends to zero and we obtain different models depending on the magnitude eta epsilon with respect to epsilon.

引用

页码：273 / 292

页数：20

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