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Combustion, Explosion and Shock Waves

2015 year, number 1

Initiation and Propagation of Multidimensional Detonation Waves

V. A. Levin1,2, I. S. Manuilovich1, V. V. Markov1,3
1Institute of Mechanics at the Moscow State University, Moscow, 119192 Russia
2Institute of Automation and Control Processes, Far-East Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
3Steklov Institute of Mathematics, Russian Academy of Sciences, Moscow, 119191 Russia
Keywords: Euler equations, numerical study, three-dimensional detonation, spinning detonation, channels of rectangular and circular cross sections, three-dimensional helical channel, supersonic flow, variable concentration of the fuel, detonation formation conditions

Abstract

Three-dimensional detonation in channels of different cross sections and spinning detonation in channels of circular cross sections are numerically studied. A possibility of galloping detonation in a supersonic flow of a mixture with a variable fuel concentration over a plane channel width is discussed. Conditions of detonation formation under the action of moving boundaries of the flow region due to rotation of an elliptical cylinder and in a variable-size square chamber are obtained. Formation of three-dimensional detonation in a supersonic flow in a helical channel of elliptical cross section and in a variable-size square channel is calculated.