Instability of Plane Poiseuille Flow in Viscous Compressible Gas
Instability of Plane Poiseuille Flow in Viscous Compressible Gas
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DOI：
10.1007/s00021-014-0191-4
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发表时间：
2015-03-01
影响因子：
1.3
通讯作者：
Nishida, Takaaki
中科院分区：
文献类型：
--
作者：
Kagei, Yoshiyuki;Nishida, Takaaki
研究了粘性可压缩气体中平面Poiseuille流动的不稳定性。给出了平面Poiseuille流不稳定的雷诺数和马赫数的条件。结果表明，当马赫数较大时，当雷诺数远小于不可压缩流动的临界雷诺数时，平面Poiseuille流动是不稳定的。用解析摄动理论证明了当满足雷诺数和马赫数的不稳定性条件时，平面Poiseuille流周围的线性化算子具有实部为正的特征值。
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.