Steady detonation waves for gases undergoing dissociation/recombination and bimolecular reactions

F. Conforto; M. Groppi; R. Monaco; G. Spiga
February 2004
Continuum Mechanics & Thermodynamics;Feb2004, Vol. 16 Issue 1/2, p149
Academic Journal
The one-dimensional steady propagation problem of a shock wave that models detonation as a combustion process in a mixture of reacting gases is studied. For this purpose, suitable reactive Euler equations deduced from appropriate closures of the Boltzmann-like equations holding at the mesoscopic level are used. The considered chemical reactions driving detonation are of either the dissociation/recombination or bimolecular type. After a jump discontinuity governed by the Rankine-Hugoniot conditions, the reactions proceed until chemical equilibrium is reached. The physical consistency of the solutions is discussed in terms of the relevant Hugoniot diagrams, which show different features for exothermic and endothermic processes and determine the allowed range of detonation velocities.


Related Articles

  • Theoretical and numerical study of detonation processes in gas suspensions with aluminum particles. Fedorov, A. V.; Fomin, V. M.; Khmel', T. A. // Combustion, Explosion, & Shock Waves;Nov2006, Vol. 42 Issue 6, p735 

    Some analytical and numerical results obtained by the authors in the field of mechanics of reactive heterogeneous media at the Institute of Theoretical and Applied Mechanics of the Siberian Division of the Russian Academy of Sciences during several years are summarized.

  • Effect of a nanosecond gas discharge on deflagration to detonation transition. Zhukov, V. P.; Starikovskii, A. Yu. // Combustion, Explosion, & Shock Waves;Mar2006, Vol. 42 Issue 2, p195 

    The possibility of using a high-voltage nanosecond discharge to initiate gaseous detonation was shown experimentally. The experiments were performed with C3H8 + 5O2 and C3H8/C4H10 + 5O2 + xN2 ( x = 0–10) mixtures at an initial pressure of 0.15–0.6 atm. The discharge was initiated...

  • Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules. Ohwada, Taku // Physics of Fluids A;Jan93, Vol. 5 Issue 1, p217 

    The structure of normal shock waves is investigated on the basis of the standard Boltzmann equation for hard-sphere molecules. This fundamental nonlinear problem in rarefied gas dynamics is analyzed numerically by a newly developed finite-difference method, where the Boltzmann collision integral...

  • Radiation Excited by Shock Waves in a CO[sub 2]–N[sub 2]–Ar Mixture: Experiment and Theory. Zalogin, G. N.; Kozlov, P. V.; Kuznetsova, L. A.; Losev, S. A.; Makarov, V. N.; Romanenko, Yu. V.; Surzhikov, S. T. // Technical Physics;Jun2001, Vol. 46 Issue 6, p654 

    On the basis of experimental data both published and obtained by the authors on radiation excited in CO[sub 2]-N[sub 2]-Ar mixtures by shock waves, a physicochemical model of such mixtures is developed that can be recommended for calculating the heat exchange and radiation of vehicles descending...

  • Structure of shock waves in relativistic simple gases. Cercignani, C.; Majorana, A. // Physics of Fluids (00319171);May88, Vol. 31 Issue 5, p1064 

    The method proposed by Mott-Smith [Phys. Rev. 82, 885 (1951)] to compute the structure of shock waves according to classical kinetic theory is extended to relativistic shocks. The results for the shock thickness are in remarkably good agreement with the results obtained from Eckart�s...

  • The propagation of spherical and cylindrical shock waves in real gases. Steiner, H.; Gretler, W. // Physics of Fluids;Jun94, Vol. 6 Issue 6, p2154 

    Real gas and heat transfer effects are included in the solution of the blast wave resulting from a point or line explosion. Due to the extremely high temperatures, particularly at the beginning of shock propagation, the assumption of perfect gas is not valid. The equation of state takes into...

  • A multiple translational temperature gas dynamics model. Candler, Graham V.; Nijhawan, Sandeep; Bose, Deepak; Boyd, Iain D. // Physics of Fluids;Nov94, Vol. 6 Issue 11, p3776 

    Within shock waves, the translational motion of the gas is more energetic in the direction perpendicular to the shock than in the direction parallel to the shock. To represent this translational nonequilibrium, new continuum conservation equations are developed. These equations are derived by...

  • Numerical Simulation of a Nonstationary Gas Jet Generated by a Pulsed-Gas Generator. Aul’chenko, S.; Zamuraev, V.; Zvegintsev, V.; Chirkashenko, V. // Journal of Engineering Physics & Thermophysics;Mar2005, Vol. 78 Issue 2, p360 

    The efflux of an axially symmetrical ideal-gas jet generated by a pulsed-gas generator has been mathematically simulated. The structure and parameters of nonstationary gas jets have been determined. The influence of the geometric parameters of a pulsed-gas generator and the initial pressure in...

  • Failure Analysis of Physical Explosion due to Gas Jetting from High-Pressure Pipeline. Zhang, Qi; Li, Wei; Lin, Da-Chao // Journal of Failure Analysis & Prevention;Apr2012, Vol. 12 Issue 2, p181 

    Jetting of the combustible gas with high pressure is a prelude to bringing into action of the chemistry explosion of gas cloud. Comparing with the leakage and diffusion of combustible gas and the chemistry explosion effect of gas cloud, the distribution of pressure, temperature and velocity...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics