Fluid Dynamics

, Volume 11, Issue 3, pp 449–454 | Cite as

Problem concerning a plane explosion in a heterogeneous atmosphere with account taken of the post-breakthrough stage

  • Kh. S. Kestenboim
  • Z. N. Kuzina
  • A. A. Markov


The problem is considered concerning a plane explosion in an exponential and standard atmosphere. The heterogeneity of the medium exerts an extremely marked influence on the gas flow. As shown in [1], under the conditions of an exponential atmosphere the upper part of the shock-wave front recedes to an infinite distance, after a finite time. This phenomenon has received the name “breakthrough” of the atmosphere. A numerical investigation of a powerful plane explosion in an exponential atmosphere at the stage before breakthrough is contained in [2]. In [3], asymptotic boundary conditions are proposed which permit the gas flow after breakthrough to be calculated. In the present paper, a numerical solution of this problem is obtained at an interval of time which exceeds by a factor of 10–15 the time of break-through. The effect of counterpressure and gravity is studied. Some results are given for a plane explosion in a standard atmosphere.


Boundary Condition Atmosphere Numerical Investigation Finite Time Marked Influence 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. S. Kompaneets, “A point explosion in an inhomogeneous atmosphere,” Dokl. Akad. Nauk SSSR,130, No. 5 (1960).Google Scholar
  2. 2.
    Kh. S. Kestenboim and Z. N. Kuzina, “Propagation of plane shock waves in an exponential atmosphere,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5 (1971).Google Scholar
  3. 3.
    A. A. Markov, “On the last stage of the point explosion in an exponential medium and self-similar Raizer's and Hayes' solutions,” Rozpr. Inz.,22, No. 3 (1974).Google Scholar
  4. 4.
    Kh. S. Kestenboim, G. S. Roslyakov, and L. A. Chudov, A Point Explosion. Methods of Calculation. Tables [in Russian], Nauka, Moscow (1974).Google Scholar
  5. 5.
    Yu. P. Raizer, “Propagation of a shock wave in an inhomogeneous atmosphere to the side of reduction of density,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1964).Google Scholar
  6. 6.
    Yu. P. Raizer, “Motion in an inhomogeneous atmosphere caused by a brief plane shock wave,” Dokl. Akad. Nauk SSSR,153, No. 3 (1963).Google Scholar
  7. 7.
    A. A. Markov, “Investigation of the stability of certain self-similar solutions of the theory of an explosion in the atmosphere,” Akad. Nauk SSSR,206, No. 1 (1972).Google Scholar
  8. 8.
    A. A. Markov, “Asymptotic of a damped plane shock wave in an exponential atmosphere,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1974).Google Scholar
  9. 9.
    D. E. Okhotsimskii, I. L. Kondrasheva, Z. P. Vlasova, and R. K. Kazakova, “Calculation of a point explosion, taking account of counterpressure,” Tr. Mat. Inst., Akad. Nauk SSSR,50 (1957).Google Scholar
  10. 10.
    Y. M. Treve and O. P. Manley, “A point explosion in an arbitrary atmosphere,” J. Fluid Mech.,55, Pt. 4 (1972).Google Scholar
  11. 11.
    K. Ya. Kondrat'ev, Meteorological Investigations by Means of Rockets and Satellites [in Russian], Gidrometeoizdat, Moscow (1962).Google Scholar
  12. 12.
    A. A. Markov, Solutions Close to Self-Similar of the Problem of a Plane Explosion in an Exponential Atmosphere [in Russian], Preprint No. 19, Inst. Probl. Mekh. Akad. Nauk SSSR, Moscow (1972).Google Scholar
  13. 13.
    W. D. Hayes, “Self-similar strong shocks in an exponential medium,” J. Fluid Mech.,32, Pt. 2 (1968).Google Scholar
  14. 14.
    Kh. S. Kestenboim and G. S. Roslyakov, “Investigation of some problems of the theory of a point explosion by an explicit difference method,” Zh. Vychisl. Mat. Mat. Fiz.,13, No. 4 (1973).Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Kh. S. Kestenboim
    • 1
  • Z. N. Kuzina
    • 1
  • A. A. Markov
    • 1
  1. 1.Moscow

Personalised recommendations