ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Chernov I. A. Treatment of sedov’s solution as series intermediate asymptotics in flow from strong blast. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 33-43. DOI: 10.18500/0869-6632-2010-18-4-33-43

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Treatment of sedov’s solution as series intermediate asymptotics in flow from strong blast

Chernov Igor Alekseevich, Saratov State University

It is offered to consider Sedov’s self-similar solution which earlier was used for exposition only an initial stage of flow from strong blast, in a role of an intermediate asymptotics of matching flow and for any medial, but not so major moment of time. Thus the index of self-similarity should be increased. The upper border of this range is certain from a condition of a constancy of an entropy behind a shock wave.

  1. Sedov LI. Motion of the air in a strong explosion. Dokl. Akad. Nauk SSSR. 1946;52(1):17–20 (in Russian).
  2. Taylor GI. The formation of a blast wave by a very intense explosion I. Theoretical discussion. Proc. Roy. Soc. A. 1950;201(1065):159–174. DOI: 10.1098/rspa.1950.0049.
  3. Sedov LI. Similarity and dimensional methods in mechanics. Ed. 5. Moscow: Nauka; 1965. 386 p. (in Russian).
  4. Korobeynikov VP, Melnikova NS, Ryazanov EV. Theory of point explosion. Moscow: Fizmatlit; 1961. 332 p. (in Russian).
  5. Korobeinikov VP. Problems of point source explosion theory. Moscow: Nauka; 1985. 400 p. (in Russian).
  6. Ovsiannikov LV. Group analysis of differential equations. Moscow: Nauka; 1978. 400 p. (in Russian).
  7. Barenblatt GI. Similarity, Self-similarity, and Intermediate Asymptotics. Leningrad: Gidrometeoizdat; 1978. 207 p. (in Russian).
  8. Chernov IA. Homentropic model of spherical shock wave reflection from the center of convergence. Izv. Saratov Univ. Math. Mech. Inform. 2010;10(3):70–76 (in Russian).
  9. Burnova NS. (Melnikova NS.) Investigation of the point explosion problem. Abstract of the dissertation of the Candidate of Physical and Mathematical Sciences. Moscow: Moscow State University; 1953. 24 p. (in Russian).
  10. Zeldovich YB, Raizer YuP. Physics of shock waves and high-temperature hydrodynamic phenomena. Moscow: Nauka; 1966. 686 p. (in Russian).
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