Abstract
An analytic solution is found to the problem of the structure of weak shock waves with phase transitions of the first kind; it is based on the use of the Mandel ' shtam—Leontovich—D ' yakov concept of second viscosity. The kinetic and thermodynamic characteristics of the problem are investigated, and also the condition of applicability of the second viscosity concept. It is shown that the obtained solution simplifies considerably if the vapor phase is regarded as a perfect gas. The results of calculations for the water—water vapor system are given.
Similar content being viewed by others
Literature cited
Ya. B. Zel'dovich, “Propagation of shock waves in a gas with reversible chemical reactions,” Zh. Eksp. Teor. Fiz.,16, No. 4 (1946).
Yz. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Scripta Technica, New York (1967).
P. E. Stepanov, “Relaxation phenomena in a shock wave in a gas,” Zh. Eksp. Teor. Fiz.17, No. 5 (1947).
G. Rudinger, “Some properties of shock relaxation in gas flows carrying small particles,” Phys. Fluids,7, No. 5 (1964).
R. Panton and A. K. Oppenheim, “Shock relaxation in a particle-gas mixture with mass transfer between phases,” AIAA J.,6, No. 11 (1968).
R. I. Nigmatulin, “Equations of hydrodynamics and shock waves in a two-velocity and two-temperature continuum in the presence of phase transitions,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1967).
S. N. Borisov, V. N. Nikolaevskii, and V. P. Radchenko, “Structure of a shock front in a water-saturated ground,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1967).
H. Stadtke, “Speed of sound and shock waves in two-phase flows,” Electr. MHD,3, No. 191, Vienna (1968).
S. P. D'yakov, “Shock waves in a relaxing medium,” Zh. Eksp. Teor. Fiz.,27, No. 6(12) (1954).
L. I. Mandel'shtam amd M. A. Leontovich, “On the theory of the absorption of sound in liquids,” Zh. Eksp. Teor. Fiz.,7, No. 3 (1937).
L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], Gostekhizdat, Moscow (1954).
G. M. Arutyunyan, “Structure of weak shock waves in relaxing media,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1969).
G. M. Arutyunyan, “Weak shock waves in a thermally relaxing medium,” Dokl. Akad. Nauk SSSR,185, No. 4 (1969).
L. D. Landau and E. M. Lifshitz, Statistical Physics, Pergamon, London (1958).
G. M. Arutyunyan and S. T. Ovsepyan, “Some questions of hydrodynamics in phase transitions of the first kind,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1977).
N. B. Vargaftik, Handbook of Thermophysical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).
M. P. Bukalovich, Tables of Thermodynamic Properties of Water and Water Vapor [in Russian], Gosenergoizdat, Moscow (1963).
N. N. Kochurova, “On the coefficient of condensation,” Inzh.-Fiz. Zh., No. 3 (1964).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 55–62, July–August, 1980.
Rights and permissions
About this article
Cite this article
Arutyunyan, G.M., Ovsepyan, S.T. Structure of weak shock waves with phase transitions of the first kind. Fluid Dyn 15, 518–524 (1980). https://doi.org/10.1007/BF01089609
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01089609