Effects of thermal radiation heat transfer on flame acceleration and transition to detonation in particle-cloud hydrogen flames

Abstract The current work examines regimes of the hydrogen–oxygen flame propagation and ignition of mixtures heated by radiation emitted from the flame. The gaseous phase is assumed to be transparent for the radiation, while the suspended particles of the dust cloud ahead of the flame absorb and reemit the radiation. The radiant heat absorbed by the particles is then lost by conduction to the surrounding unreacted gaseous phase so that the gas phase temperature lags that of the particles. The direct numerical simulations solve the full system of two phase gas dynamic time-dependent equations with a detailed chemical kinetics for a plane flames propagating through a dust cloud. It is shown that depending on the spatial distribution of the dispersed particles and on the value of radiation absorption length the consequence of the radiative preheating of the mixture ahead of the flame can be either the increase of the flame velocity for uniformly dispersed particles or ignition either new deflagration or detonation ahead of the original flame via the Zel'dovich gradient mechanism in the case of a layered particle-gas cloud deposits. In the latter case the ignited combustion regime depends on the radiation absorption length and correspondingly on the steepness of the formed temperature gradient in the preignition zone that can be treated independently of the primary flame. The impact of radiation heat transfer in a particle-laden flame is of paramount importance for better risk assessment and represents a route for understanding of dust explosion origin.

[1]  S. Dorofeev,et al.  DDT in a smooth tube filled with a hydrogen–oxygen mixture , 2005 .

[2]  Atsumi Miyake,et al.  Risk assessment for liquid hydrogen fueling stations , 2009 .

[3]  C. Proust.  A few fundamental aspects about ignition and flame propagation in dust clouds , 2006 .

[4]  Richard A. Gentry,et al.  An Eulerian differencing method for unsteady compressible flow problems , 1966 .

[5]  Robert W. Dibble,et al.  Combustion: Physical and Chemical Fundamentals, Modelling and Simulation, Experiments, Pollutant Formation , 1996 .

[6]  G. M. Makhviladze,et al.  The Mathematical Theory of Combustion and Explosions , 2011 .

[7]  R. Lindstedt,et al.  Ignition of fuel/air mixtures by radiatively heated particles , 2013 .

[8]  M. P. Burke,et al.  Flame acceleration and the transition to detonation of stoichiometric ethylene/oxygen in microscale tubes , 2007 .

[9]  M. F. Ivanov,et al.  Flame acceleration and DDT of hydrogen–oxygen gaseous mixtures in channels with no-slip walls , 2011 .

[10]  A. Bleyer,et al.  OVERVIEW ON HYDROGEN RISK RESEARCH AND DEVELOPMENT ACTIVITIES: METHODOLOGY AND OPEN ISSUES , 2015 .

[11]  B. Deshaies,et al.  On Radiation-Affected Flame Propagation in Gaseous Mixtures Seeded with ln´ert Particles , 1986 .

[12]  M. Liberman.  Unsteady Combustion Processes Controlled by Detailed Chemical Kinetics , 2015 .

[13]  T. Elperin,et al.  Tangling clustering instability for small particles in temperature stratified turbulence , 2013, 1302.0646.

[14]  M. Liberman,et al.  Mechanisms of ignition by transient energy deposition : Regimes of combustion wave propagation , 2013, 1302.5271.

[15]  Hans J. Pasman,et al.  Challenges to improve confidence level of risk assessment of hydrogen technologies , 2011 .

[16]  Andreas Acrivos,et al.  Heat and Mass Transfer from Single Spheres in Stokes Flow , 1962 .

[17]  S. P. Gill,et al.  Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena , 2002 .

[18]  G. Joulin,et al.  Radiation-dominated propagation and extinction of slow, particle-laden gaseous flames , 1989 .

[19]  Rolf K. Eckhoff,et al.  Understanding dust explosions. The role of powder science and technology , 1997 .

[20]  Clustering of aerosols in atmospheric turbulent flow , 2007, physics/0702125.

[21]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[22]  Ritsu Dobashi,et al.  Detailed analysis of flame propagation during dust explosions by UV band observations , 2006 .

[23]  Minggao Yu,et al.  Methane–air explosion characteristics with different obstacle configurations , 2015 .

[24]  P. Olla.  Preferential concentration versus clustering in inertial particle transport by random velocity fields. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  John B. Heywood,et al.  Internal combustion engine fundamentals , 1988 .

[26]  C. F. Curtiss,et al.  Molecular Theory Of Gases And Liquids , 1954 .

[27]  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.

[28]  C. Proust.  Gas flame acceleration in long ducts , 2015 .

[29]  M. Fischer,et al.  Combustion-related safety aspects of hydrogen in energy applications , 1986 .

[30]  G. Ciccarelli,et al.  Flame acceleration and transition to detonation in ducts , 2008 .

[31]  M. Bidabadi,et al.  Radiation heat transfer in transient dust cloud flame propagation , 2013 .

[32]  R. Lindstedt,et al.  Thermal radiation from vapour cloud explosions , 2015 .

[33]  A. Teodorczyk,et al.  Fast turbulent deflagration and DDT of hydrogen-air mixtures in small obstructed channel , 2009 .

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

[35]  I︠a︡. B. Zelʹdovich,et al.  Theory of detonation , 1960 .

[36]  M. Ivanov,et al.  HOT SPOT FORMATION BY THE PROPAGATING FLAME AND THE INFLUENCE OF EGR ON KNOCK OCCURRENCE IN SI ENGINES , 2006 .

[37]  A. Rangwala,et al.  Influence of Coal Dust on Premixed Turbulent Methane-Air Flames , 2013 .

[38]  M. F. Ivanov,et al.  Deflagration-to-Detonation Transition in Highly Reactive Combustible Mixtures , 2010 .

[39]  Michael A. Liberman,et al.  Dynamics and stability of premixed flames , 2000 .

[40]  M. F. Ivanov,et al.  Hydrogen-oxygen flame acceleration and deflagration-to-detonation transition in three-dimensional rectangular channels with no-slip walls , 2013 .

[41]  Elperin,et al.  Self-Excitation of Fluctuations of Inertial Particle Concentration in Turbulent Fluid Flow. , 1996, Physical review letters.

[42]  M. Liberman,et al.  Experimental Study of the Preheat Zone Formation and Deflagration to Detonation Transition , 2010 .

[43]  M. Liberman,et al.  On detonation initiation by a temperature gradient for a detailed chemical reaction models , 2011 .

[44]  Sanjeev Gupta.  Experimental investigations relevant for hydrogen and fission product issues raised by the Fukushima accident , 2015 .

[45]  R. Dobashi,et al.  Flame propagation mechanisms in dust explosions , 2015 .

[46]  Frank Pearson Lees,et al.  Loss prevention in the process industries : hazard identification, assessment, and control , 1980 .

[47]  M. Liberman,et al.  NUMERICAL MODELING OF THE PROPAGATING FLAME AND KNOCK OCCURRENCE IN SPARK-IGNITION ENGINES , 2004 .

[48]  E. Hairer,et al.  Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .

[49]  N. Tsuboi,et al.  Three-Dimensional Simulation of Deflagration-to-Detonation Transition with a Detailed Chemical Reaction Model , 2014 .

[50]  John H.S. Lee,et al.  Comments on explosion problems for hydrogen safety , 2008 .

[51]  C. Kruger,et al.  Modeling coal particle behavior under simultaneous devolatilization and combustion , 1985 .

[52]  W. Gao,et al.  Flame-propagation behavior and a dynamic model for the thermal-radiation effects in coal-dust explosions , 2014 .

[53]  M. F. Ivanov,et al.  Regimes of chemical reaction waves initiated by nonuniform initial conditions for detailed chemical reaction models. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[54]  A. A. Borisov,et al.  Pulse detonation propulsion : challenges, current status, and future perspective , 2004 .

[55]  P. Woodward,et al.  The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .

[56]  K. I. Shchelkin,et al.  Gasdynamics of combustion , 1965 .

[57]  M. F. Ivanov,et al.  Hydrogen-oxygen flame acceleration and transition to detonation in channels with no-slip walls for a detailed chemical reaction model. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[58]  R. Essenhigh,et al.  THE THERMAL RADIATION THEORY FOR PLANE FLAME PROPAGATION IN COAL DUST CLOUDS , 1963 .

[59]  A. Pekalski,et al.  Deflagration to detonation transition in a vapour cloud explosion in open but congested space: Large scale test , 2015 .

[60]  Y. Zeldovich,et al.  Regime classification of an exothermic reaction with nonuniform initial conditions , 1980 .