Possibility of Normal Spherical Detonation in a Hydrogen-Oxygen Gas Mixture: Allowable Temperature, Mach Number, and Hydrogen Content

Authors

  • M. M. Polatayko this work is performed individually

DOI:

https://doi.org/10.15407/ujpe59.10.0980

Keywords:

spherical detonation, Chapman–Jouguet regime, hydrogen-oxygen mixture, Lewis scheme, chain reaction, critical temperature, Mach number, Jouguet point, hydrodynamic theory of detonation

Abstract

In the framework of the classical theory of detonation with the use of the previously obtained relations for spherical waves, the ranges of the allowable values of temperature, Mach number, and hydrogen content in a gas mixture, where the normal spherical detonation is possible, are determined. The critical values of parameters associated with the kinetics of chemical reactions at the blast wave front and the parameters responsible for the shock transition intensity (the minimum and the maximum of the Mach number) are calculated for the reacting medium. By analyzing the interaction between H2 and O2, the intervals of the critical temperature, the temperature of detonation in a stationary medium, and the hydrogen content in the mixture, at which the spherical detonation is possible, are determined graphically.

References

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).

Published

2018-10-25

How to Cite

Polatayko, M. M. (2018). Possibility of Normal Spherical Detonation in a Hydrogen-Oxygen Gas Mixture: Allowable Temperature, Mach Number, and Hydrogen Content. Ukrainian Journal of Physics, 59(10), 980. https://doi.org/10.15407/ujpe59.10.0980

Issue

Section

Plasmas and gases