Analytical study of Poiseuille flow perturbations in a channel

被引:4
作者
Hifdi, A [1 ]
Naciri, JK [1 ]
机构
[1] Fac Sci Ain Chock, Lab Mecan, Casablanca, Morocco
来源
COMPTES RENDUS MECANIQUE | 2004年 / 332卷 / 03期
关键词
fluid mechanics; flow perturbations; symmetric; antisymmetric; velocity profiles;
D O I
10.1016/j.crme.2004.01.003
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We present in this study an analytic solution, valid for intermediate Reynolds numbers, of the Poiseuille flow perturbation in a channel. We use a method based on the solution of a linearized form of perturbation equations. The analytic solutions allow us to determine the symmetric and antisymmetric eigenmodes. For any given entry velocity profile in the channel slightly perturbed from Poiseuille flow, the complete flow solution is obtained by using an appropriate orthonormalisation procedure for the bases of the two types of eigenfunctions. (C) 2004 Academie des sciences. Publie par Elsevier SAS. Tons droits reserves.
引用
收藏
页码:241 / 248
页数:8
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