Skip to main content
Log in

Structure of weak shock waves with phase transitions of the first kind

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. Ya. B. Zel'dovich, “Propagation of shock waves in a gas with reversible chemical reactions,” Zh. Eksp. Teor. Fiz.,16, No. 4 (1946).

  2. Yz. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Scripta Technica, New York (1967).

    Google Scholar 

  3. P. E. Stepanov, “Relaxation phenomena in a shock wave in a gas,” Zh. Eksp. Teor. Fiz.17, No. 5 (1947).

  4. G. Rudinger, “Some properties of shock relaxation in gas flows carrying small particles,” Phys. Fluids,7, No. 5 (1964).

  5. R. Panton and A. K. Oppenheim, “Shock relaxation in a particle-gas mixture with mass transfer between phases,” AIAA J.,6, No. 11 (1968).

  6. 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).

  7. 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).

  8. H. Stadtke, “Speed of sound and shock waves in two-phase flows,” Electr. MHD,3, No. 191, Vienna (1968).

  9. S. P. D'yakov, “Shock waves in a relaxing medium,” Zh. Eksp. Teor. Fiz.,27, No. 6(12) (1954).

  10. 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).

  11. L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media [in Russian], Gostekhizdat, Moscow (1954).

    Google Scholar 

  12. G. M. Arutyunyan, “Structure of weak shock waves in relaxing media,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1969).

  13. G. M. Arutyunyan, “Weak shock waves in a thermally relaxing medium,” Dokl. Akad. Nauk SSSR,185, No. 4 (1969).

  14. L. D. Landau and E. M. Lifshitz, Statistical Physics, Pergamon, London (1958).

    Google Scholar 

  15. 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).

  16. N. B. Vargaftik, Handbook of Thermophysical Properties of Gases and Liquids [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  17. M. P. Bukalovich, Tables of Thermodynamic Properties of Water and Water Vapor [in Russian], Gosenergoizdat, Moscow (1963).

    Google Scholar 

  18. N. N. Kochurova, “On the coefficient of condensation,” Inzh.-Fiz. Zh., No. 3 (1964).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 55–62, July–August, 1980.

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01089609

Keywords

Navigation