V. Ts. Gurovich, L. G. Fel, “Landau-Stanyukovich rule and the similarity parameter for converging shocks”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2009, Volume 89, Issue 1,Pages <nobr>16

This article is cited in 6 papers

PLASMA, GASES

Landau-Stanyukovich rule and the similarity parameter for converging shocks

V. Ts. Gurovich^ab, L. G. Fel^ab

^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.

PACS: 47.40.-x, 52.80.Qj

Received: 20.11.2008
Revised: 03.12.2008