permeability coefficient in Darcy's filtration law

被引：1

作者：

Bushlanov, V. P. ^{[1
]}

Bushlanov, I. V. ^{[1
]}

Sentyakova, E. N. ^{[1
]}

机构：

[1] Admiral Ushakov Maritime State Univ, Novorossijsk 353925, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2013年 / 54卷 / 04期

关键词：

Darcy's law; permeability coefficient; specific surface area;

D O I：

10.1134/S0021894413040111

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Using the equation of living forces averaged over the volume of the filter and obtained from the Navier-Stokes equations of an incompressible fluid, an analytical formula for the permeability coefficient in the classical Darcy problem is derived to within the principal terms of the Poiseuille number. It is shown that the resulting permeability coefficient is inversely proportional to the square of the specific surface area and the dimensionless average dissipation rate of the kinetic fluid energy in the filter.

引用

页码：608 / 611

页数：4