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
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)