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Alad’ev, I. T.; Ganzhelo, A. N.

Solution of the direct problem of a Laval nozzle working with a two-phase medium. (English. Russian original) Zbl 0526.76100

Fluid Dyn. 18, 310-312 (1983); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1983, No. 2, 164-166 (1983).
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MSC:

76T99 Multiphase and multicomponent flows
76M99 Basic methods in fluid mechanics

Keywords:

ordinary differential equations; two-phase medium in Laval nozzle; one- dimensional; direct problem; law of variation of area of transverse section; functional relationships between entrance parameters
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References:

[1] W. S. Bailey, E. N. Nilson, R. A. Serra, and T. F. Zupnik, ?Gas particle flow in axisymmetric nozzle,? ARS J.,31, 793 (1961).
[2] Glautz, ?Mixed subsonic and supersonic flow of gas with solid particles,? ARS J.,32, No. 5 (1962).
[3] Soo Sao-Lee, Fluid Dynamics of Multiphase Systems, Blaisdell, Waltham, Mass. (1967). · Zbl 0173.52901
[4] G. V. Tsiklauru, V. S. Danilin, and L. I. Seleznev, Adiabatic Two-Phase Flows [in Russian], Atomizdat, Moscow (1973), p. 448.
[5] J. Emanuel, ?Application of a method of numerical integration in the presence of a singularity in the form of a saddle point to the calculation of a one-dimensional nonequilibrium flow in a nozzle,? [Russian translation], Ékspress-Informatsiya, Astronavtika i Raketodinamika, No. 41, 5 (1965).
[6] L. E. Sternin, Fundamentals of the Gas Dynamics of Two-Phase Flows in Nozzles [in Russian], Mashinostroenie, Moscow (1975), p. 212.
[7] R. I. Nigmatulin, ?Methods of continuum mechanics for the description of multiphase mixtures,? Prikl. Mat. Mekh.,34, 1097 (1970). · Zbl 0226.76036
[8] V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations [in Russian], Gostekhizdat, Moscow?Leningrad (1947), p. 448. · Zbl 0089.29502
[9] I. Petrowsky, ?Über das Verhalten der Integralkurven eines Systems gewöhnlicher Differentialgleichungen in der Nähe eines singulären Punktes,? Mat. Sb.,41, 107 (1934). · Zbl 0009.35201
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