Инд. авторы:	Grigor’ev Y.N., Ershov I.V.
Заглавие:	Asymptotic theory of neutral stability of the Couette flow of a vibrationally excited gas
Библ. ссылка:	Grigor’ev Y.N., Ershov I.V. Asymptotic theory of neutral stability of the Couette flow of a vibrationally excited gas // Journal of Applied Mechanics and Technical Physics. - 2017. - Vol.58. - Iss. 1. - P.1-16. - ISSN 0021-8944. - EISSN 1573-8620.
Внешние системы:	DOI: 10.1134/S0021894417010011; SCOPUS: 2-s2.0-85015612586; WoS: 000396460700001;
Реферат:	eng: An asymptotic theory of the neutral stability curve for a supersonic plane Couette flow of a vibrationally excited gas is developed. The initial mathematical model consists of equations of two-temperature viscous gas dynamics, which are used to derive a spectral problem for a linear system of eighth-order ordinary differential equations within the framework of the classical linear stability theory. Unified transformations of the system for all shear flows are performed in accordance with the classical Lin scheme. The problem is reduced to an algebraic secular equation with separation into the “inviscid” and “viscous” parts, which is solved numerically. It is shown that the thus-calculated neutral stability curves agree well with the previously obtained results of the direct numerical solution of the original spectral problem. In particular, the critical Reynolds number increases with excitation enhancement, and the neutral stability curve is shifted toward the domain of higher wave numbers. This is also confirmed by means of solving an asymptotic equation for the critical Reynolds number at the Mach number M ≤ 4. © 2017, Pleiades Publishing, Ltd.
Ключевые слова:	Shear flow; critical Reynolds number; linear stability theory; neutral stability curve; vibrationally excited gas; Asymptotic analysis; Channel flow; Differential equations; Gas dynamics; Linear systems; Ordinary differential equations; Reynolds number; Stability; Supersonic aerodynamics; Asymptotic equation; Asymptotic theories; Critical Reynolds number; Excitation enhancement; Linear stability theory; Neutral stability; Vibrationally excited; Numerical solution;
Издано:	2017
Физ. характеристика:	с.1-16