Generalized Newtonian fluid flow through a porous medium

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:433

Article

Ervin, V. J.¹  Lee, Hyesuk¹  Salgado, A. J.² 

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

[2] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

关键词: Darcy equation;    Generalized Newtonian fluid;   

DOI  :  10.1016/j.jmaa.2015.07.054

来源: Elsevier

【 摘 要 】

We present a model for generalized Newtonian fluid flow through a porous medium. In the model the dependence of the fluid viscosity on the velocity is replaced by a dependence on a smoothed (locally averaged) velocity. With appropriate assumptions on the smoothed velocity, existence of a solution to the model is shown. Two examples of smoothing operators are presented in the appendices. A numerical approximation scheme is presented and an a priori error estimate derived. A numerical example is given illustrating the approximation scheme and the a priori error estimate. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free