小黏性气体振动特征值的二阶摄动解  

Secondary order perturbation solution of slightly viscous gas vibration

作　　者：王可升[1] 

机构地区：[1]西安石油大学理学院,陕西西安710065

出　　处：《西安石油大学学报（自然科学版）》2004年第2期86-88,共3页Journal of Xi’an Shiyou University（Natural Science Edition）

摘　　要：探讨了求一类满足边界平坦性条件的有界域内小黏性气体微振动的单特征值的更高阶摄动解 .利用边界层展开法 ,匹配特征值所满足的内场和外场微分方程 ,得到特征值的二阶摄动解 。To get higher order perturbation solutions of slightly viscous gas vibration within a bounded domain, which satisfies a special kind of flat boundary condition, a boundary expansion method is used in matching the inner and the out field differential equation. Consequently, the secondary order perturbation solution is obtained, and this provides a reasonable way to solve such kind of vibration eigen value problems.

关 键 词：小黏性气体 振动特征 摄动方法 边界层展开法 微分方程 二阶摄动解 

分 类 号：O353.1[理学—流体力学]