INFLUENCE OF TURBULENCE ON THE FORMATION
OF DETONATION COMBUSTION OF A GAS IN TUBES

Yu. V. Tunik

UDC 532.517.4+536.463+533.27

Conditions for transition of the slow combustion of a 
gas to detonation are determined based on the solution of the problem 
on propagation of turbulent combustion initiated at the end wall of 
a semiinfinite tube. The combustion zone is modeled by an infinitely 
thin flame front. It is assumed that the turbulence develops ahead 
of the flame in the flow behind the shock wave formed. Simplified 
Reynolds equations underlie a mathematical description of turbulent 
flow. The assumptions made of the local isotropy of turbulence in 
the flow core and the hypotheses for the generation and dissipation 
of pulsation energy make it possible to close the considered system 
of equations in the one-dimensional case.

Institute of Mechanics, Moscow State University, 1 Michurinskii 
Prospekt, Moscow, 119192, Russia; email: tunik@imec.msu.ru. Translated 
from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 5, pp. 78-88, 
September-October, 2007. Original article submitted March 29, 
2006; revision submitted November 3, 2006.