高雷诺数下平面Poiseuille流稳定性渐近分析

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Asymptotic Analysis of Stability Problem of Plane Poiseuille Flow for High Reynolds Number

摘要: 本文主要讨论高雷诺数下平面Poiseuille流稳定性问题.应用多层结构分析理论,求出了描述该流体稳定性的Orr-Sommerfeld方程特征值的较为合理的逼近式及相应的特征函数的渐近解析解.

Abstract: A study of the stability of plane Poiseuille flow at higher Reynolds number is made. Within a "triple-deck" structural framework, the qualitative behaviour of the eigenvalue of Orr-Sommerfeld equation is analytically obtained. The corresponding eigenfunction is formulated approximately.

[1]	Abramowitz,M.and I.A.Stegun,Handbook of Mathematics,Dover Publication,U.S.A.(1972).
[2]	Davey,A.,A simple numerical method for solving Orr-Sommerfeld problems,Quart.J.Mech.Appl.Math.,26 (1973),401-411.
[3]	Drazin,P.G.and W.H.Reid,Hydrodynamic Stability,Cambridge Univeristy Press (1982).
[4]	Hall,P.and F.T.Smith,A suggested mechanism for nonlinear wall roughness effects on high Reynolds number flow stability,Studies in Appl.Math.,86 (1982),241-265.
[5]	Stuart,J.T.,Laminar Turbulent Transition,ed.R.Eppler and H.fasel,Springer Verlag Berlin Heidelberg Press (1980).

点击查看大图