Abstract
Plane vortex-free sub- and supersonic gas flow is considered without taking account of viscosity and heat conduction. For the system of equations of motion of the mixed elliptic-hyperbolic type in the potential plane, a particular solution is found which corresponds to gas motion in a nozzle with a curved sonic line. The system of equations used to construct the solution is neatly homogeneous, which made it possible to separate the principal part of the solution in the transonic region. The validity of the simplifications made is well confirmed by comparison with calculation, using the method of characteristics, and with experiment.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S. V. Fal'kovich, “On the theory of Laval nozzles,” PMM, vol. 10, no. 4, 1946.
R. Courant and D. Hilbert, Methods of Mathematical Physics [Russian translation], vol. 2, Gostekhizdat, 1951.
N. E. Kochin, I. A. Kibel, and N. V. Roze, Theoretical Hydromechanics [in Russian], vol. 1, Gostekhizdat, 1948.
O. N. Katskova, A. N. Naumova, Yu. D. Shmyglevskii, and N. P. Shulishnina, Experience in Calculating Plane and Axisymmetric Supersonic Gas Flows by the Method of Characteristics [in Russian], VTs AN SSSR, 1961.
Author information
Authors and Affiliations
Additional information
The author wishes to thank S. V. Fal'kovich for valuable comment on this study.
Rights and permissions
About this article
Cite this article
Luk'yanov, N.A. Calculation of mixed sub- and supersonic gas flow in a plane pressure nozzle. Fluid Dyn 1, 29–32 (1966). https://doi.org/10.1007/BF01013809
Issue Date:
DOI: https://doi.org/10.1007/BF01013809