高压下液体微管道流动的摄动分析  

PERTURBATION ANALYSIS OF LIQUID FLOWS IN MICRO-CHANNELS DRIVEN BY HIGH PRESSURES

作　　者：李舰[1] 张劲柏[1] 李椿萱[1] 

机构地区：[1]北京航空航天大学国家计算流体力学实验室,北京100191

出　　处：《力学学报》2009年第3期289-299,共11页Chinese Journal of Theoretical and Applied Mechanics

摘　　要：应用参数摄动法对可压缩N-S方程进行渐近展开,并取其零阶近似对高压下微管道液体流动特性进行了分析.对任意截面形状和面积的微管道,在等温流动假设下将其截面形状、滑移长度等对解的贡献转化为求解该截面的格林函数,并给出等截面圆形微管道流动的零阶近似解.以此分析可压缩性、黏性以及壁面滑移等因素对高压下液体微管道流动特性的影响,进一步揭示了高压驱动下液体微管道流动偏离经典Hagen-Poiseuille(HP)理论的原因.An asymptotic expansion of compressible N-S equations were deduced via parametric expansion, and liquid flow characteristics under high driven pressures in long micro-channels with arbitrary cross sections were analyzed by solving the zeroth order equations. The contributions due to cross section, length of the wall-slip, and other related factors were taken into account by solving the Green＇s function over the cross section. A set of zeroth order solutions for circular cylinders of constant cross section were presented, and the influences of the compressibility and viscosity of the liquids, and the slip length on the flow characteristics in micro-channels under high pressure were studies.

关 键 词：渐近展开 微管道流动 参数摄动法 格林函数 经典Hagen-Poiseuille理论 

分 类 号：O363.2[理学—流体力学]