Advertisement

Nonsteady radial expansion of a gas into a flooded space from a suddenly turned on steady source

  • S. F. Chekmarev
Article

Abstract

The problem of the radial expansion of a gas into a medium of low pressure from a suddenly turned on steady source with M ≥1 is examined in the report. The examination concerns mainly the unsteady flow of gas in the initial stage of expansion. The laws of motion of the surface of a powerful explosion, which determine the structure of the region of flow, are established for the initial stage of expansion with the help of a simple approximate solution of the problem. A method is proposed and a numerical solution of the problem is obtained for a viscous thermally conducting gas in a general formulation.

Keywords

Mathematical Modeling Mechanical Engineer Approximate Solution Industrial Mathematic Unsteady Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    V. N. Gusev, “On the start-up of supersonic nozzles,” Inzh. Zh., No. 1 (1961).Google Scholar
  2. 2.
    I. M. Naboko, V. A. Belavin, V. V. Golub, and A. I. Opara, “Study of the nonsteady structure of the stream during the escape of a shock-heated gas,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1973).Google Scholar
  3. 3.
    G. A. Simons, “The large time behavior of a steady spherical source expanding into an arbitrary ambient gas,” AIAA Paper, No. 70, 232 (1970).Google Scholar
  4. 4.
    G. G. Chernyi, “The problem of a point explosion,” Dokl. Akad. Nauk SSSR,112. No. 2 (1957).Google Scholar
  5. 5.
    Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Gasdynamic Phenomena [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
  6. 6.
    L. I. Sedov, Methods of Similarity and Dimensionality in Mechanics [in Russian], Nauka, Moscow (1965).Google Scholar
  7. 7.
    V. P. Korobeinikov, N. S. Mel'nikova, and E. V. Ryzanov, Theory of a Point Explosion [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
  8. 8.
    M. F. Shirokov, The Physical Bases of Gasdynamics [in Russian], Fizmatgiz, Moscow (1958).Google Scholar
  9. 9.
    A. K. Rebrov and S. F. Chekmarev, “Spherical escape of a viscous thermally conducting gas into a flooded space,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1971).Google Scholar
  10. 10.
    S. K. Godunov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • S. F. Chekmarev
    • 1
  1. 1.Novosibirsk

Personalised recommendations