A Case of Reflection of Simple Wave From a Contact Discontinuity
An exact analytical solution is presented for the wave system describing a one-dimensional unsteady process of nonlinear reflection of an arbitrary simple wave from a contact discontinuity dividing two ideal perfect gases of constant values of adiabatic indices k and k0 which equal 3, and an arbitrary γ > 1, respectively. We suppose that the incident simple wave propagates through the gas of adiabatic index k equal to 3. As an example, we investigate the initial state of a one-dimensional process of expansion of condensed-phase products of detonation in a medium with counterpressure.
References
G.G. CHERNYI, Gas dynamics [in Russian], Nauka, 1988.
E. KAMKE, Lösungsmethoden und Lösungen. 1 Gewöhnliche Differentialgleichungen, Leipzig 1959.
L.D. LANDAU and E.M. LIFSHITZ, Fluid mechanics, Pergamon Press, 1959.
L.D. LANDAU and K.P. STANYUKOVICH, On the study of condensed-phase detonation [in Russian], Dokl. Akad. Nauk SSSR, 46, 9, 399, 1945.
YU.A. SOZONENKO, An interaction of simple wave with contact discontinuity [in Russian], Moscow State University, Vestnik, 54, 1, 1963.
K.P. STANYUKOVICH, Unsteady motions of continuous media, Pergamon Press, 1960.
A.H. TAUB, lnteraction of progressive rarefaction waves, Annals of Math., 47, 811, 1946.