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Second Thermal and Fluids Engineering  Conference

ISSN: 2379-1748
ISBN: 978-1-56700-430-4

A criterion for Darcy and non-Darcy flow in porous media

Jinsui Wu
North China Institute of Science and Technology, Beijing 101601, P.R.China

Dezhi Hu
North China Institute of Science and Technology, Beijing 101601, P.R.China

Wenjun Li
North China Institute of Science and Technology, Beijing 101601, P.R.China

Xuexi Chen
North China Institute of Science and Technology, Beijing 101601, P.R.China

Jianguo Luo
North China Institute of Science and Technology, Beijing 101601, P.R.China

Abstract

This paper further studied the pore throat model, by comparing the Ergun_wu and Forchheimer equations, obtained the analytical expressions of Darcy permeability, non-Darcy equivalent permeability, total equivalent permeability, and the ratio of non-Darcy equivalent permeability and Darcy permeability. Darcy permeability is the function of porosity, average particle size, is not the function of Reynolds number, the conclusion is consistent with the permeability definition that permeability is related to medium skeleton and has nothing to do with the fluid flow in the medium. Non-Darcy equivalent permeability is a function of the Reynolds number and decrease with the increase of Reynolds number; it is the same with dimensionless results of Barree and Conway's. Using dimensionless form for non-Darcy equivalent permeability, get the ratio of non-Darcy equivalent permeability and Darcy permeability, This paper get the critical Reynolds number of Darcy and non-Darcy flow in porous media is 0.1. When Reynolds number is less than 0.1, the fluid flow in the porous medium is Darcy flow; When Reynolds number is greater than 0.1, the fluid flow in the porous medium is non-Darcy flow.

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