Linear Stability of Stratified Flow of Two Viscous Fluids

被引：0
|
作者：
Logvinov, O. A. [1 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Chair Gas & Wave Dynam, Moscow, Russia
来源：
MOSCOW UNIVERSITY MECHANICS BULLETIN | 2022年 / 77卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
stratified flow; linear stability; Orr-Sommerfeld equation; INSTABILITIES; CHANNEL;
D O I：
10.3103/S0027133022040021
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Stability to small perturbations of two-layered parabolic flow in a plane channel is analyzed. The dispersion relation between a disturbance wavelength and its growth rate is valid in the whole range of wavenumbers and for moderately large Reynolds numbers. The results coincide with known asymptotic theory conclusions. Besides, a new effect for flows not only with viscosity stratification but also with density stratification is revealed. The agreement with experimental data is acceptable.
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页码：117 / 126
页数：10
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