ON THE DERIVATION OF THE FORCHHEIMER EQUATION BY MEANS OF THE AVERAGING THEOREM

被引:237
作者
RUTH, D
MA, HP
机构
[1] Department of Mechanical Engineering, University of Manitoba, Winnepeg, Manitoba
关键词
NON-DARCIAN FLOW; FORCHHEIMER EFFECTS; HIGH SPEED FLOW; AVERAGING THEOREM; NETWORK MODELS; TORTUOSITY;
D O I
10.1007/BF01063962
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The averaging theorem is applied to the microscopic momentum equation to obtain the macroscopic flow equation. By examining some very simple tube models of flow in porous media, it is demonstrated that the averaged microscopic inertial terms cannot lead to a meaningful representation of non-Darcian (Forchheimer) effects. These effects are shown to be due to microscopic inertial effects distorting the velocity and pressure fields, hence leading to changes in the area integrals that result from the averaging process. It is recommended that the non-Darcian flow regime be described by a Forchheimer number, not a Reynolds number, and that the Forchheimer coefficient-beta be more closely examined as it may contain information on tortuosity.
引用
收藏
页码:255 / 264
页数:10
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