Deflagration-to-detonation transition in gases in tubes with cavities

The existence of a supersonic second combustion mode — detonation — discovered by Mallard and Le Chatelier and by Berthélot and Vieille in 1881 posed the question of mechanisms for transition from one mode to the other. In the period 1959–1969, experiments by Salamandra, Soloukhin, Oppenheim, and their coworkers provided insights into this complex phenomenon. Since then, among all the phenomena related to combustion processes, deflagration-to-detonation transition is, undoubtedly, the most intriguing one. Deflagration-to-detonation transition (DDT) in gases is connected with gas and vapor explosion safety issues. Knowing mechanisms of detonation onset control is of major importance for creating effective mitigation measures addressing two major goals: to prevent DDT in the case of mixture ignition, or to arrest the detonation wave in the case where it has been initiated. A new impetus to the increase in interest in deflagration-to-detonation transition processes was given by the recent development of pulse detonation devices.The probable application of these principles to creation of a new generation of engines put the problem of effectiveness of pulse detonating devices at the top of current research needs. The effectiveness of the pulse detonation cycle turned out to be the key factor characterizing the Pulse Detonation Engine (PDE), whose operation modes were shown to be closely related to periodical onset and degeneration of a detonation wave. Those unsteady-state regimes should be self-sustained to guarantee a reliable operation of devices using the detonation mode of burning fuels as a constitutive part of their working cycle. Thus deflagration-to-detonation transition processes are of major importance for the issue. Minimizing the predetonation length and ensuring stability of the onset of detonation enable one to increase the effectiveness of a PDE. The DDT turned out to be the key factor characterizing the PDE operating cycle. Thus, the problem of DDT control in gaseous fuel–air mixtures became very acute.This paper contains results of theoretical and experimental investigations of DDT processes in combustible gaseous mixtures. In particular, the paper investigates the effect of cavities incorporated in detonation tubes at the onset of detonation in gases. Extensive numerical modeling and simulations allowed studying the features of deflagration-to-detonation transition in gases in tubes incorporating cavities of a wider cross section. The presence of cavities substantially affects the combustion modes being established in the device and their dependence on the governing parameters of the problem. The influence of geometrical characteristics of the confinement and flow turbulization on the onset of detonation and the influence of temperature and fuel concentration in the unburned mixture are discussed. It was demonstrated both experimentally and theoretically that the presence of cavities of wider cross section in the ignition part of the tube promotes DDT and shortens the predetonation length. At the same time, cavities incorporated along the whole length or in the far-end section inhibit detonation and bring about the onset of low-velocity galloping detonation or galloping combustion modes. The presence of cavities in the ignition section turns an increase in the initial mixture temperature into a DDT-promoting factor instead of a DDT-inhibiting factor.

[1]  W. Rankine On the Thermodynamic Theory of Waves of Finite Longitudinal Disturbance. [Abstract] , 1869 .

[2]  Melvin A. Cook,et al.  Deflagration to detonation transition , 1958 .

[3]  Elaine S. Oran,et al.  Numerical Simulation of Reactive Flow , 1987 .

[4]  T. V. Bazhenova,et al.  Use of Gas Detonation in a Controlled Frequency Mode (Review) , 2003 .

[5]  D. Chapman,et al.  VI. On the rate of explosion in gases , 1899 .

[6]  M. Liberman,et al.  Formation of the preheated zone ahead of a propagating flame and the mechanism underlying the deflagration-to-detonation transition , 2009 .

[7]  V. F. Nikitin,et al.  Pulse detonation engines: Technical approaches , 2009 .

[8]  Elaine S. Oran,et al.  Ignition of flamelets behind incident shock waves and the transition to detonation. Memorandum report , 1983 .

[9]  S. F. Osinkin,et al.  Direct initiation of detonation in a hydrogen-oxygen mixture diluted with nitrogen , 1992 .

[10]  A. K. Oppenheim,et al.  On the development of gaseous detonation—Analysisof wave phenomena , 1958 .

[11]  Nickolay Smirnov,et al.  Control of detonation onset in combustible gases , 2001 .

[12]  Richard W. Hamming,et al.  Numerical Methods for Scientists and Engineers , 1963 .

[13]  V. P. Karpov,et al.  Turbulent combustion of alcohols , 1986 .

[14]  H. Markstein Nonsteady flame propagation , 1964 .

[15]  R. I. Soloukhin,et al.  Experiments in Gasdynamics of Explosions , 1973 .

[16]  G. Thomas,et al.  Experimental studies of shock-induced ignition and transition to detonation in ethylene and propane mixtures , 1999 .

[17]  Elaine S. Oran,et al.  Numerical simulation of detonation initiation in a flame brush : The role of hot spots , 1999 .

[18]  A. K. Oppenheim,et al.  Diagnostics of the exothermic process , 1976 .

[19]  Nickolay Smirnov,et al.  Unsteady-state turbulent diffusive combustion in confined volumes , 1997 .

[20]  V. P. Korobeinikov,et al.  One-dimensional unsteady flows of a combustible gas mixture allowing for finite chemical reaction rates , 1968 .

[21]  N. Marinov,et al.  A detailed chemical kinetic model for high temperature ethanol oxidation , 1999 .

[22]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[23]  A. A. Borisov On the origin of exothermic centers in gaseous mixtures , 1974 .

[24]  V. F. Nikitin,et al.  The influence of confinement geometry on deflagration to detonation transition in gases , 2002 .

[25]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[26]  V. V. Azatyan Role of chain mechanism in ignition and combustion of hydrogen-oxygen mixtures near the third explosion limit , 1996 .

[27]  M. Fong,et al.  Experimental Measurements and Theoretical Analysis of Detonation Induction Distances , 1961 .

[28]  N. Smirnov,et al.  Transitional regimes of wave propagation in metastable systems , 2008 .

[29]  R. I. Soloukhin,et al.  Gas ignition behind the shock wave , 1958 .

[30]  Nickolay Smirnov,et al.  Experimental investigation of deflagration to detonation transition in hydrocarbon-air gaseous mixtures , 1995 .

[31]  J. F. Clarke,et al.  On the direct initiation of a plane detonation wave , 1986, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[32]  O. Pironneau,et al.  Analysis of the K-epsilon turbulence model , 1994 .

[33]  Andrzej Teodorczyk,et al.  Flame acceleration and transition to detonation in benzene–air mixtures , 1998 .

[34]  V. Levin,et al.  Initiation of detonation by concentrated release of energy , 1975 .

[35]  B. Sweetman PULSE DETONATION ENGINES , 2003 .

[36]  H. Wagner,et al.  Initiation of detonation in various gas mixtures , 1970 .

[37]  Nickolay Smirnov,et al.  Investigation of Self-Sustaining Waves in Metastable Systems: Deflagration-to-Detonation Transition , 2009 .

[38]  J. F. Clarke,et al.  Detonation initiation on the microsecond time scale: DDTs , 2005 .

[39]  Elaine S. Oran,et al.  Origins of the deflagration-to-detonation transition in gas-phase combustion , 2007 .

[40]  A. Merzhanov,et al.  On critical conditions for thermal explosion of a hot spot , 1966 .

[41]  H. J. Michels,et al.  Deflagration to detonation transition in mixtures of alkane LNG/LPG constituents with O2N2 , 1988 .

[42]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[43]  A. K. Oppenheim,et al.  Experimental observations of the transition to detonation in an explosive gas , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[44]  Nickolay Smirnov,et al.  Effect of Channel Geometry and Mixture Temperature on Detonation‐to‐Deflagration Transition in Gases , 2004 .

[45]  N. Smirnov,et al.  DEFLAGRATION TO DETONATION TRANSITION IN COMBUSTIBLE GAS MIXTURES , 1995 .