Instability of Plane Poiseuille Flow in Viscous Compressible Gas

被引：9

作者：

Kagei, Yoshiyuki ^{[1
]}

Nishida, Takaaki ^{[2
]}

机构：

[1] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 8190395, Japan

[2] Kyoto Univ, Dept Appl Complex Syst, Sakyo Ku, Kyoto 6068317, Japan

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 01期

关键词：

Compressible Navier-Stokes equation; Poiseuille flow; instability;

D O I：

10.1007/s00021-014-0191-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Instability of plane Poiseuille flow in viscous compressible gas is investigated. A condition for the Reynolds and Mach numbers is given in order for plane Poiseuille flow to be unstable. It turns out that plane Poiseuille flow is unstable for Reynolds numbers much less than the critical Reynolds number for the incompressible flow when the Mach number is suitably large. It is proved by the analytic perturbation theory that the linearized operator around plane Poiseuille flow has eigenvalues with positive real part when the instability condition for the Reynolds and Mach numbers is satisfied.

引用

页码：129 / 143

页数：15

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