Conditions for Spherical Detonation in Hydrogen-Oxygen Mixture


  • M. M. Polatayko -



gas dynamics, a strong point explosion, blast, detonation, the system of Hugoniot equations, Semenov formula, Chapman–Jouguet regime, hydrogen-oxygen mixture, Haber scheme, Lewis scheme, kinetics of chemical reactions


Initial detonation conditions required for fast chemical reactions to take place at the front of a spherical explosive wave have been determined. A simple relation describing the critical detonation temperature for various pressures in the hydrogen-oxygen mixture was obtained. Using the known formulas for a shock transition, the critical temperature was coupled with the initial conditions in a static environment, such as the pressure, temperature, and hydrogen content in the mixture.


S.G. Andreev, A.V. Babkin, and F.A. Baum, Physics of Explosion (Fizmatlit, Moscow, 2004) (in Russian).

Ch. Mader, Numerical Modeling of Detonation (Univ. of California, Berkeley, 1979).

A.V. Fedorov, D.A. Tropin, and I.A. Bedarev, Fiz. Goren. Vzryva 46, 103 (2010).

M.M. Polatayko, Ukr. Fiz. Zh. 57, 606 (2012).

M.M. Polatayko, Ukr. Fiz. Zh. 58, 963 (2013).

R.I. Soloukhin, Shock Waves and Detonations in Gases (Mono Books, Baltimore, 1966).

N.N. Semenov, Chemical Kinetics and Chain Reactions (Clarendon Press, Oxford, 1935).

N.N. Semenov, Some Problems of Chemical Kinetics and Reactivity, Vols. 1 and 2 (Princeton Univ. Press, Princeton, NJ, 1959).

A.N. Matveev, Molecular Physics (Mir Publ., Moscow, 1985).

N.N. Sysoev and F.V. Shugaev, Shock Waves in Gases and Condensed Media (Moscow State Univ., Moscow, 1987) (in Russian).

N.M. Baron, A.M. Ponomareva, A.A. Ravdel', and Z.N. Timofeeva, A Brief Handbook of Physicochemical Values (Khimiya, Leningrad, 1983) (in Russian).



How to Cite

Polatayko, M. M. (2018). Conditions for Spherical Detonation in Hydrogen-Oxygen Mixture. Ukrainian Journal of Physics, 58(10), 962.



Plasmas and gases