Engineering Transactions, 44, 3-4, pp. 307-319, 1996

A Case of Reflection of Simple Wave From a Contact Discontinuity

A.V. Kononov
Odessa State University, Odessa
Ukraine

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.

Full Text: PDF

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.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland