Информация о публикации

Просмотр записей
Инд. авторы: Grigoryev Y.N., Ershov I.V.
Заглавие: Asymptotic theory of neutral linear stability contours in plane shear flows of a vibrationally excited gas
Библ. ссылка: Grigoryev Y.N., Ershov I.V. Asymptotic theory of neutral linear stability contours in plane shear flows of a vibrationally excited gas // Fluid Mechanics and its Applications. - 2017. - Vol.117. - P.85-109. - ISSN 0926-5112.
Внешние системы: DOI: 10.1007/978-3-319-55360-3_4; РИНЦ: 29498604; SCOPUS: 2-s2.0-85017453376; WoS: 000424706100006; DSpace ИВТ СО РАН: https://link.springer.com/book/10.1007%2F978-3-319-55360-3#toc;
Реферат: eng: An asymptotic theory of the neutral stability curve for plane shear flows of a vibrationally excited gas is developed in the chapter. The initialmathematical 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. Unified transformations of the system for all shear flows are performed in accordance with the classical scheme. The spectral problem for the supersonic plane Couette flow with two boundary conditions, which was not considered previously even for perfect gas, is reduced to an algebraic secular equation with separation into the “inviscid” and “viscous” parts. The neutral stability curves obtained on the basis of the numerical solution of the secular equation agree well with the previously obtained results of the direct numerical solution of the original spectral problem. © Springer International Publishing AG 2017.
Ключевые слова: COUETTE-FLOW;
Издано: 2017
Физ. характеристика: с.85-109
Цитирование:
1. Lin, C.C.: The Theory of Hydrodynamic Stability. University Press, New York (1966)
2. Drazin, P.G., Reid, W.H.: Hydrodynamic Stability. Cambridge University Press, Cambridge (2004)
3. Gordiets, B.F., Osipov, A.I., Shelepin, L.A.: Kinetic Processes in Gases and Molecular Lasers. Gordon and Breach, New York (1987)
4. Reshotko, E.: Stability of the Compressible Laminar Boundary Layer, Ph.D. thesis. California Institute of Technology, Pasadena (1960)
5. Naimark, M.N.: Linear Differential Operators. Nauka, Moscow (1969) (in Russian)
6. Dunn, D.W., Lin, C.C.: On the stability of the laminar boundary layer in a compressible fluid. J. Aero. Sci. 22, 455–477 (1955)
7. Tamarkin, Ya.D.: Some General Problems of the Theory of Ordinary Differential Equations. Tipografiya M.P. Frolovoi, Petrograd (1917) (in Russian)
8. Fok, V.A.: Problems ofDiffraction and Propagation of Radiowaves. SovetskoyeRadio, Moscow (1970) (in Russian)
9. Grigor’ev, Yu. N., Ershov, I.V.: Linear stability of the Couette flow of a vibrationally excited gas. 1 Inviscid problem. J. Appl. Mech. Tech. Phys. 55, 258–269 (2014)
10. Miles, J.W.: The hydrodynamic stability of a thin film of liquid in uniform shearing motion. J. Fluid Mech. 8, 593–610 (1960)
11. Gaponov, S.A., Maslov, A.A.: Development of Perturbations in Compressible Flows. Nauka, Novosibirsk (1980) (in Russian)
12. Korn, G.A., Korn, T.M.: Mathematical Handbook for Scientists and Engineers. McGraw-Hill, New York (1961)
13. Duck, P.W., Erlebacher, G., Hussaini, M.Y.: On the linear stability of compressible plane Couette flow. J. Fluid Mech. 258, 131–165 (1994)