微直通道内气体滑移流动的二维理论和数值研究

计算物理 ›› 2006, Vol. 23 ›› Issue (6): 685-691.

微直通道内气体滑移流动的二维理论和数值研究

张根烜¹, 刘明侯², 陈义良², 王璐¹

1. 中国电子科技集团公司第三十八研究所, 安徽合肥 230031;
2. 中国科学技术大学热科学和能源工程系, 安徽合肥 230027

收稿日期:2005-08-04 修回日期:2005-11-21 出版日期:2006-11-25 发布日期:2006-11-25
作者简介:张根烜(1982-),男,江苏淮安,博士生,从事微小尺度流动与燃烧研究,中国电子科技集团公司第三十八研究所结构部230031.
基金资助:
国家自然科学基金(No.50376060,No.10372099)资助项目

Two-dimensional Theoretical and Numerical Investigation of Gaseous Slip Flows in a Micro-channel

ZHANG Gen-xuan¹, LIU Ming-hou², CHEN Yi-liang², WANG Lu¹

1. The 38th Research Institute of CETC, Hefei 230031, China;
2. Thermal Science & Energy Engineering Department, University of Science & Technology of China, Hefei 230027, China

Received:2005-08-04 Revised:2005-11-21 Online:2006-11-25 Published:2006-11-25

摘要/Abstract

摘要： 以微直通道内气体滑移流动为例,采用扰动分析方法,结合不同阶滑移条件,得出N-S方程的理论解.采用不同滑移模型,对不同进出口压比、长宽比、工质的微通道流进行理论和数值分析,着重研究稀薄效应、热蠕动效应以及不同滑移条件对计算结果的影响.计算表明,努森数是表征稀薄效应的特征参数,而热蠕动效应的强弱依赖于雷诺数.在极大长宽比的低速流工况下,理论和数值结果与实验吻合很好.

关键词: 微通道, 滑移模型, 扰动分析, 数值研究, 努森数

Abstract: In a perturbation analysis,a two-dimensional theoretical solution based on Navier-Stokes equations is constructed for gaseous slip flows in a micro-channel with different slip conditions.The micro-channel flow is investigated theoretically and numerically at various inlet pressure ratios,aspect ratios and fluid cases with several slip models.The influence of the rarefaction effect,thermal creep effect and slip conditions is emphasized.Simulations show that Kn is a key parameter in determining the magnitude of rarefaction effects while Re is a key parameter indicating the thermal creep.Excellent agreements with experimental results are observed in both theoretical and numerical results of low-velocity micro-channel flows at very large aspect ratios.

Key words: micro-channel, slip model, perturbation analysis, numerical investigation, Knudsen number

中图分类号:

O356

张根烜, 刘明侯, 陈义良, 王璐. 微直通道内气体滑移流动的二维理论和数值研究[J]. 计算物理, 2006, 23(6): 685-691.

ZHANG Gen-xuan, LIU Ming-hou, CHEN Yi-liang, WANG Lu. Two-dimensional Theoretical and Numerical Investigation of Gaseous Slip Flows in a Micro-channel[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(6): 685-691.

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