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Pis'ma v Zh. Èksper. Teoret. Fiz., 2009, Volume 89, Issue 1, Pages 16–20 (Mi jetpl329)  

This article is cited in 5 scientific papers (total in 5 papers)

PLASMA, GASES

Landau-Stanyukovich rule and the similarity parameter for converging shocks

V. Ts. Gurovichab, L. G. Felab

a Department of Physics, Technion, 32000 Haifa, Israel
b Department of Civil Engineering, Technion, 32000 Haifa, Israel

Abstract: The similarity parameter α of a self-similarity problem of the second kind is determined numerically in the course of solving the basic equations. The Landau-Stanyukovich rule gives an approximate value of α close to the true one. This estimate should be refined in further numerical calculations. The determination of the status of the Landau-Stanyukovich rule and the development of this approach make it possible to find the upper and lower bounds for α(γ) for a given adiabatic index γ. The narrowness of the interval between these values makes it possible to find the value of α different from the true one by 0.01–0.02. In this case, the self-similarity problem of the second kind is actually reduced to a self-similarity problem of the first kind in which the value of α follows from the dimension analysis of the key physical parameters of the problem and does not require solving the equations.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2009, 89:1, 14–18

Bibliographic databases:

PACS: 47.40.-x, 52.80.Qj
Received: 20.11.2008
Revised: 03.12.2008

Citation: V. Ts. Gurovich, L. G. Fel, “Landau-Stanyukovich rule and the similarity parameter for converging shocks”, Pis'ma v Zh. Èksper. Teoret. Fiz., 89:1 (2009), 16–20; JETP Letters, 89:1 (2009), 14–18

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  • http://mi.mathnet.ru/eng/jetpl/v89/i1/p16

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Singh M., Singh L.P., Husain A., “Landau-Stanyukovich Rule and the Similarity Parameter of Converging Shock Waves in Magnetogasdynamics”, Control Theory Appl, 28:9 (2011), 094701  crossref  adsnasa  isi  scopus
    2. Ramsey S.D., Kamm J.R., Bolstad J.H., “The Guderley Problem Revisited”, Int. J. Comput. Fluid Dyn., 26:2 (2012), 79–99  crossref  mathscinet  isi  scopus
    3. Singh M., “Similarity Parameters for Converging Shock Waves in Non-Ideal Magnetogasdynamics by Landau-Stanyukovich Rule”, Astrophys. Space Sci., 343:2 (2013), 615–619  crossref  zmath  isi  scopus
    4. Nitishinskiy M., Efimov S., Yanuka D., Gurovich V.T., Krasik Ya.E., “Addressing the problem of uniform converging spherical shock wave in water”, Phys. Plasmas, 23:10 (2016), 103507  crossref  isi  scopus
    5. Nitishinskiy M., Efimov S., Antonov O., Yanuka D., Gurovich V.T., Bernshtam V., Fisher V., Krasik Ya.E., “Converging shock wave focusing and interaction with a target”, Phys. Plasmas, 23:4 (2016), 042705  crossref  isi  elib  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
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