【作者】 宋付权；

【Author】 SONG Fu-quan (College of mathematics,physics and information Engineering, Zhejiang Normal University,Jinhua,Zhejiang 321004)

【机构】 浙江师范大学数理与信息工程学院；

【摘要】 在微尺度下液体的流动研究表明:流动在固壁边界附近存在滑移现象,以及由此引起的流动阻力减小。在液体流过多孔介质的实验也表明,水在疏水性表面流动时,具有流动边界速度滑移现象。首先根据文献,假定滑移长度和壁面的润湿角成正比。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;最后通过图形方法,分析了滑移长度对流速剖面和流量的影响,本研究对于微尺度结构中的流动减阻具有理论指导价值。更多还原

【Abstract】 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 slip length is more important for flow slip effect.更多还原