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二维Woods-Burnett方程的稳定性分析

魏淑惠 包福兵 朱赠好

空气动力学学报2012,Vol.30Issue(1):90-94,5.
空气动力学学报2012,Vol.30Issue(1):90-94,5.

二维Woods-Burnett方程的稳定性分析

Linearized stability analysis of two-dimensional Woods-Burnett equations

魏淑惠 1包福兵 2朱赠好2

作者信息

  • 1. 东北石油大学数学科学与技术学院,黑龙江大庆163318
  • 2. 中国计量学院流体检测与仿真研究所,浙江杭州310018
  • 折叠

摘要

Abstract

The linearized stability analysis of two-dimensional Woods-Burnett equations was studied for the first time. The characteristic stability equation of this equation was first derived and the characteristic curve was achieved. The two-dimensional Woods-Burnett equations are not stable against small perturbations. The critical perturbation wave frequency is 0. 642 and the corresponding critical Knudsen number is 0. 130. This value is smaller than that of one-dimension equations, which is 0. 184. The two-dimensional Woods-Burnett equations are more unstable than one-dimensional Woods-Burnett equations.

关键词

Woods-Burnett方程/线性稳定性分析/临界努森数/稀薄气体流动

Key words

Woods-Burnett equations/ linearized stability analysis/ critical Knudsen number/ rarefied gas flow

分类

航空航天

引用本文复制引用

魏淑惠,包福兵,朱赠好..二维Woods-Burnett方程的稳定性分析[J].空气动力学学报,2012,30(1):90-94,5.

基金项目

国家自然科学基金(10902104)和浙江省自然科学基金(Y6090589)资助 (10902104)

空气动力学学报

OA北大核心CSCDCSTPCD

0258-1825

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