滑移边界条件下的渗流基本微分方程  

Differential equation of flow through porous media with slip-boundary condition

作　　者：宋付权[1] 

机构地区：[1]浙江师范大学

出　　处：《武汉工业学院学报》2009年第3期123-125,共3页Journal of Wuhan Polytechnic University

摘　　要：首先根据牛顿流体的应力和应变的关系,以及在层流条件下,在固壁附件滑移长度和滑移速度的线性关系,得到了在层流条件下,具有滑移边界的圆管中的速度公式和流量公式;然后采用毛细管束模型,推导出了在多孔介质中具有滑移效应的渗流速度方程,和滑移渗流的基本微分方程。方程中的渗透率由非滑移渗透率和相对滑移渗透率组成,相对滑移渗透率的数值取决于毛管半径R和滑移长度b。The experiments of liquid flow through micro-structures shows that there are flow slip effects on the boundaries, and the studies also appear slip effects and flow resistance reduction for flow through low permeability porous media with hydrophobicity. Based on the relation between stress and strain of Newtonian fluid, and the linear model of slip length, the formulae of flow velocity and rate were derived for flow with slip effect; then from the model of capillary tubes, the equations of velocity and differential equation for flow in porous media with slip boundary were obtained. The permeability of porous media is consisted of no-slip permeability and slip effect permeability which is determined by the radium of capillary and slip length which is more important for flow slip effect.

关 键 词：滑移效应 滑移边界 低渗透多孔介质 减阻 流量公式 

分 类 号：TV223.4[水利工程—水工结构工程]