| Инд. авторы: | Grigor'ev Yu.N., Ershov I.V. |
| Заглавие: | Asymptotic theory of neutral stability curve of the Couette flow of vibrationally excited gas |
| Библ. ссылка: | Grigor'ev Yu.N., Ershov I.V. Asymptotic theory of neutral stability curve of the Couette flow of vibrationally excited gas // Journal of Physics: Conference Series. - 2016. - Vol.722. - Iss. 1. - Art.012012. - ISSN 1742-6588. - EISSN 1742-6596. |
| Внешние системы: | DOI: 10.1088/1742-6596/722/1/012012; РИНЦ: 27094499; SCOPUS: 2-s2.0-84979288022; WoS: 000383013800012; |
| Реферат: | eng: The asymptotic theory of neutral stability curve of the supersonic plane Couette flow of vibrationally excited gas is constructed. The system of two-temperature viscous gas dynamics equations was used as original mathematical model. Spectral problem for an eighth order linear system of ordinary differential equations was obtained from the system within framework of classical theory of linear stability. Transformations of the spectral problem universal for all shear flows were carried along the classical Dunn - Lin scheme. As a result the problem was reduced to secular algebraic equation with a characteristic division on 'inviscid' and 'viscous' parts which was solved numerically. The calculated neutral stability curves coincide in limits of 10% with corresponding results of direct numerical solution of original spectral problem. |
| Издано: | 2016 |
| Физ. характеристика: | 012012 |
| Конференция: | Название: All-Russian Conference on Nonlinear Waves: Theory and New Applications Аббревиатура: WAVE16 Город: Novosibirsk Страна: Russia Даты проведения: 2016-02-29 - 2016-03-02 |
| Цитирование: | 1. Lin C C 1955 The Theory of Hydrodynamic Stability (Cambridge: Cambridge Univ. Press) 2. Nagnibeda E A and Kustova E V 2009 Nonequilibrium Reacting Gas Flows. Kinetic Theory of Transport and Relaxation Processes (Berlin: Springer-Verlag) 3. Grigor'ev Yu N and Ershov I V 2014 J. Appl. Mech. Tech. Phys. 55 258 4. Tricomi F G 1961 Differential Equations (New York: Blackie and Son Ltd) 5. Reshotko E 1960 Stability of the Compressible Laminar Boundary Layer (Pasadena: California Institute of Technology) PhD Thesis 6. Drazin P G and Reid W H 2004 Hydrodynamic Stability (Cambridge: Cambridge Univ. Press) 7. Dunn D W and Lin C C 1955 J. Aero. Sci. 22 455 8. Miles J W 1960 J. Fluid Mech. 8 593 |