牛顿流体在充满多孔介质圆管内的结构流特征

Structural flow characteristic of Newtonian fluid flowing in a pipe filling with porous medium

引入研究多孔介质流体流动的体积平均方法和体均原理,采用Darcy阻力经验公式和Forch-heimer修正,得到了多孔介质内流体流动的Brinkman-Forchheimer广义Darcy定律.提出了牛顿流体在充满多孔介质管道内的结构流概念,并通过边界层动量积分计算证实了流核的存在,获得了流核流速和流核半径的计算结果;分析了Darcy数和惯性参数对速度剖面的影响程度.

The volume averaging method and volume averaging principle for studying fluid flowing in porous media are presented.The generalized Darcy law for describing fluid flowing in porous media is obtained based on the empirical formula of Darcy resistance and Forchheimer revision.The concept of the structural flow of a Newtonian fluid flowing in a pipe filling with saturated porous medium with is introduced.The existence of the flow core of the structural flow is verified by computing the thickness of boundary layer,and the formulas for calculating the flow velocity and radii of the flow core are presented.The influences of Darcy number and inertia parameter on the velocity profile of the structural flow are analyzed,and it is shown that the velocity profile becomes evener with Darcy number decreasing and the inertia parameter increasing.