气体在任意截面形状微尺度槽道中的滑移流动  

ANALYSIS OF GAS FLOW IN MICROCHANNEL OF ARBITRARY SHAPE IN SLIP FLOW REGIME

作　　者：朱恂[1] 辛明道[1] 廖强[1] 

机构地区：[1]重庆大学工程热物理研究所,重庆400044

出　　处：《化工学报》2003年第7期902-906,共5页CIESC Journal

基　　金：国家自然科学基金"九五"重大资助项目(No 5 9995 5 5 0 3 )~~

摘　　要：利用正交函数法对气体在具有任意截面形状的微尺度槽道内的充分发展层流滑移流动特性进行了理论分析 ,获得了任意截面形状微槽道内的速度分布和流动阻力特性的分析解 ,并以矩形微槽为例分析了微槽截面上的速度分布和阻力特性 .结果表明 :随Kn数的增加 ,由于壁面处滑移流动的影响 ,气体流经微槽的流动阻力常数小于大尺度理论预测值 ;理论分析解的结果与实验结果吻合较好 ,表明在一定的Kn数范围内Navier Stokes方程在考虑了速度滑移后可以描述微通道内的气体流动过程 ;正交函数法在微槽内滑移流动的分析中是可行的 .Theoretical analysis for laminar flow in the microchannels of arbitrary shape in slip flow regime is presented. The momentum equation with the one-order slip boundary conditions is solved by using a computation-oriented method of the orthonormal function analysis for the fully developed laminar flow of the incompressible fluid in the microchannels. The dimensionless velocity profiles and the friction factors in the microchannels are obtained. The performance of the flow in the rectangle microchannel is calculated and compared with the experimental results. The agreement between analytic solutions and existing experimental results. It shows that in a definite extension of Knudsen number the traditional Navier-Stokes equations with the slip boundary conditions can govern the gas flow mechanisms in microchannels, and the orthonormal function method is available to study the slip flow characteristics in the microchannel of arbitrary shape. Slip flow occurs at the wall of the microchannel in the slip flow regime. The slip velocity of fluid on the channel wall increases as the Kn number increases, and the friction coefficient is substantially reduced for slip flow compared with the no-slip flow. The aspect affects the dimensionless drag coefficient at a fixed Kn number in the rectangle microchannel.

关 键 词：滑移流区 任意截面形状微槽道 气体流动 阻力特性 

分 类 号：TK124[动力工程及工程热物理—工程热物理]