ON THE DERIVATION OF THE FORCHHEIMER EQUATION BY MEANS OF THE AVERAGING THEOREM
ON THE DERIVATION OF THE FORCHHEIMER EQUATION BY MEANS OF THE AVERAGING THEOREM
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DOI：
10.1007/bf01063962
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发表时间：
1992-03-01
影响因子：
2.7
通讯作者：
MA, HP
中科院分区：
文献类型：
--
作者：
RUTH, D;MA, HP
将平均定理应用于微观动量方程，得到宏观流动方程。通过研究一些非常简单的管模型的多孔介质中的流动，它表明，平均微观惯性项不能导致一个有意义的表示的非达西（Forchheimer）的影响。这些影响被证明是由于微观惯性效应扭曲的速度和压力场，从而导致的平均过程中的面积积分的变化。建议用Forchheimer数而不是雷诺数来描述非Darcian流态，并更仔细地检查Forchheimer系数β，因为它可能包含有关弯曲度的信息。
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.