ON NONLINEAR EFFECTS IN UNSTEADY FLOWS THROUGH POROUS-MEDIA

被引:8
|
作者
PASCAL, H
机构
[1] Department of Physics, University of Alberta, Edmonton
关键词
D O I
10.1016/0020-7462(91)90055-X
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The question of the non-linear effects on the unsteady flows of non-Newtonian fluids through porous media is addressed. The slightly compressible fluids of power law behavior are considered. The exact self-similar solutions in a closed form of the non-linear equations governing the flow, for the first boundary value problem, are presented. The implications of the non-linear effects on the propagation mechanism of pressure disturbances in a non-Newtonian fluid, flowing through a porous medium, are discussed. It is shown that these disturbances propagate with finite velocity, which is a monotonically decreasing function of time, due to the existence of a moving pressure front. This relevant result is obtained from exact analytical solutions which exhibit traveling wave characteristics in a shear thinning fluid.
引用
收藏
页码:251 / 261
页数:11
相关论文
共 50 条