粗糙度对微细圆管内流动特性影响的摄动分析  

A PERTURBATION ANALYSIS OF WALL ROUGHNESS EFFECTS ON FLOW IN MICROTUBE

作　　者：张春平[1] 唐大伟[1] 韩鹏[1] 祝捷[1] 

机构地区：[1]中国科学院工程热物理研究所,北京100080

出　　处：《工程热物理学报》2008年第5期849-852,共4页Journal of Engineering Thermophysics

基　　金：国家高技术研究发展专项经费资助项目(No.2006AA05Z225)

摘　　要：本文以粗糙度为小参数,采用正则摄动法求解了微细圆管内的层流流动.计算结果表明,壁面相对粗糙度和粗糙元的无量纲间距是影响微细通道内部流场的主要因素.壁面相对粗糙度仅影响扰动流函数的峰值但不影响流场受扰区域的大小;而粗糙曲线空间波数对扰动流函数的峰值和扰动区域的大小都有影响.当粗糙度相同增大空间波数时.流函数的扰动峰值和受扰区域都将减小,这为合理设计粗糙元同时抑制摩擦阻力增大提供了理论依据。By choosing relativity roughness as the small parameter, a regular perturbation method was used to analyze the laminar flow in microtubes. The computing results show that the main factors affecting the flow regime are wall relative roughness and non-dimensional spatial interval of rough cell. The peak of the disturbed stream function is affected by the relative roughness but the disturbed area in flow field is invariable. Both the peak of disturbed stream function and disturbed area in flow field are affected by the spatial wave number. If the relative roughness keep constant and the spatial wave number increased, both the peak of disturbed stream function and disturbed area in flow field decreased simultaneously, the theory bases are provided for designing roughness cell logically and controlling flow friction synchronously.

关 键 词：粗糙度 正则摄动 微细通道 

分 类 号：TK124[动力工程及工程热物理—工程热物理]