One-dimensional problem of a shock in a gas

The self-similar problem of the motion of a cold gas subjected to an instantaneous impulse is considered. A solution is constructed in the neighborhood of the known exact solution for a gas with a specific heat ratio =1.4 1–4]. An analytic expression is obtained in this neighborhood for the dependence of the index of self-similarity n on the parameter h, which is related to the adiabatic index by h=(+1)/(–1). The results of a numerical calculation of n versus h are compared with the analytic expression.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 74–78, November–December, 1973.