Abstract
A survey of experimental and analytical results is used to show that detonation-deflagration transition, direct or blast initiation as well as the steady propagation of detonation waves all involve explosions within explosions. Even the steady propagation of a detonation is shown to be an inherently unsteady process. The Zel’dovitch criterion for direct initiation is used to show how combustible mixtures can become sensitized by gas dynamic and physical processes until even a small random disturbance is sufficient to set off an explosion within an explosion which, in turn, can lead to the initiation of a detonation. The ability to predict the onset of detonation requires a more complete understanding of the “Explosion within an explosion”.
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References
Lee,J.H.S., “Initiation of Gaseous Detonation”, Ann. Rev.Phvs.Chem.-v.28. 75–104, (1977)
Zel’dovitch, Y.B., Kogarko, S.M., and Simonov, N.N., “An experimental investigation of spherical detonation of gases”, Sov. Phvs. Tech. Phvs.. V.l, 1698, (1956)
Sedov, L.I, L.I., “Similarity and Dimensional Methods in Mechanics”, 4th edn., Academic Press, N.Y., (1959).
Sichel, M., “A simple analysis fo the blast initiation of detonations”, Acta Astronautica.V. 4, 409 – 424, (1977)
Guirao, C.M., Knystautas, R., and Lee, J.H.S., “A Summary of Hydrogen-Air Detonation Experiments”, Rept. NUREG/CR-4961, prepared at McGill University for the U.S. Nuclear Regulatory Commission, May, (1989).
Sichel, M., “Modeling of Gaseous and Heterogeneous Detonation Phenomena”, Transactions of the Twenty-Seventh Conference of Army Mathematicians, ARO Report 82 - 1, (1982).
Sichel, M, M., “The Detonation of Sprays: Recent Results”, pp.265–301, Fuel Air Explosions. Univ. of Waterloo Press, (1982).
Veyssiere, B., “Double-Front Detonations in Gas-Solid Paticles Mixtures”.pp.264–276.Dynamics of Explosions.Vol. 114, Progress in Astronautics and Aeronautics, AIAA, (1988).
Lin, Z.C., Nicholls, J.A., Tang, M.J., Kauffman,C.W., and Sichel, M., “Vapor Pressure and Sensitization Effects in Detonation of a Decane Sprav”.pp. 1709–1716. Proceedings of the 20th Symposium ttnternationan on Combustion. The Combustion Institute, (1984).
Kauffman C.W., Wolanski, P., Arisoy, A., Adams, P.R., and Maker, B.N., “Dust, Hybrid, and Dusty Detonations”, pp. 221–240, Dynamics of Shock Waves. Explosions, and Detonations. Vol. 94, Progress in Astronautics and Aeronautics, AIAA, (1984)
Dabora, E.K., Ragland, K.W., and Nicholls, J.A., “Drop Size Effects in Spray Detonations”, Proceedings of the Twelfth Svmpsium (International on Combustion. The Combustion Institute, (1969).
Bar Or,R., Sichel, M., and Nicholls, J.A, J.A., “The Propagation of Cylindrical Detonations in Monodisperse Sprays”, Proceedings of the Eighteenth Svmpsium (International on Combustion. The Combustion Institute, (1981).
Zhang, F., and Gronig, H., “Detonation Structure of Corn Starch Particles-Oxygen Mixture”, presented at 12th International Colloquium on the Dynamics of Explosions and Reactive Systems, Ann Arbor, MI, July (1989).
Oran, E.S, Boris, J.P., Young, T., Burks, T., and Picone, M., pp. 1641–1649, 18th Symposium flnteniationan on Combustion. The Combustion Institute, (1982).
Taki, S., and Fujiwara, T, T., “Numerical Simulation of Triple Shock Behavior of Gaseous Detonation”, pp. 1671–1681, 18th Symposium (International) on Combustion. The Combustion Institute, (1982).
Fujiwara, T., and Reddy, K.V., “Propagation Mechanism of Detonation-Three-Dimensional Phenomena”, presented at 12th International Colloquim on the Dynamics of Explosions and Reactive Systems, Ann Arbor, MI, July (1989).
Schoffel, S.U. and Ebert, F.,pp.3–31, Dynamics of Explosions. Vol. 114, Progress in Astronautics and Aeronautics, AIAA, (1988).
Cherpanov, G.P, G.P., “The Theory of Detonations in Heterogeneous Systems”, PMTF. vol.4, Moscow, (1965).
Pierce, T.H., “Experimental and Theoretical Study of the Structure of Two Phase Detonations in Sprays”, PhD thesis, The University of Michigan, Ann Abor, (1972).
Dabora, E.K., “A Model for Spray Detonation”, Acta Astronautics, vol. 6, p. 269, (1979).
Nettleton, M.A., “Gaseous Detonations, Their Nature, Effects, and Control”, Chapman and Hall, (1987).
Bartlma, F., and Schroder, K., “The Diffraction of a Plane Detonation Wave at a Convex Corner”, Combustion and Flame, vol 66, pp. 237 – 248, (1986).
Liu, J.C., Liou, J.J., Sichel, M., Kauffman, C.W., and Nicholls, J.A.,pp. 1639–1647,“Diffraction and Transmission of a Detonation into a bounding Explosive Layer”, 21st Symposium (International on Combustion. The Combustion Institute, (1986).
Liu, J.C., Kauffman, C.W and Sichel, M., “Lateral Interaction of Detonating and Detonable Gaseous Mixtures”, pp.264–283.Dvnamics of Explosions. Vol. 114, Progress in Astronautics and Aeronautics, AIAA, (1988).
Dabora, E.K., Desbordes, D., Guerraud, C., “Oblique Detonation at High Velocities”, presented at 12th International Colloquim on the Dynamics of Explosions and Reactive Systems, Ann Arbor, MI, July (1989).
Liou, J.J., “Analysis of the Wave Interaction Between a Propagating Detonation and a Bounding Explosive Layer”, PhD thesis, The University of Michigan, Ann Arbor, MI, (1986).
Fickett, W., and Wood, W.W, W.W., “Flow Calculations for Pulsating One Dimensional Detonations”, Phvs. Fluids, Vol.9, 903, (1966), see also Fickett, W. and Davis, W.C., Detonation. Univ. of California Press, (1979).
Kailasanath, K.,and Oran, E.S., “Power-Energy Relations for the Direct Initiation of Gaseous Detonations”, pp.38–54 Dynamics of Shock Waves, Explosions, and Detonations. Vol. 94, Progress in Astronautics and Aeronautics, AIAA, (1983)
Kurylo, J., Thomsen, J.M., and Sauer, F.M., “Direct Initiation in LNG/Air Clouds”, pp.262-301, Shock Waves. Explosions, and Detonations.Vol. 87, Progress in Astronautics and Aeronautics, AIAA, (1981).
Boni, A.A., Wilson, C.W., Chapman, J., and Cook, J.L., “A Study of Detonation in Methane Air Clouds”, Acta Astron. vol 5, pp. 1153 – 1169, (1978).
Eidelman, S., and Sichel, M., “The Transitional Structure if Detonation Waves in Multi-Phase Reactive Media”, Comb.Sci. and Tech.. vol. 26, pp. 215 – 224, (1981)
Sichel, M., “Numerical Modeling of Heterogenous Detonations”, to appear as a chapter in the book Numerical Approaches to Combustion Modeling. E.S. Oran and J. Boris, eds., Amer. Inst, of Aeronaut, and Astronaut.
Jones, D.A., Sichel, M., Guirguis, R., and Oran, E.S., “Numerical Simulation of Layered Detonations”, presented at the 12th Inernational Colloquium on the Dynamics of Explosions and Reactive Systems, (and to appear in the Proceedings), Ann Arbor, MI, July (1989)
Jones, D.A., Sichel, M.,Oran, E.S., and Guirguis, R., “Detonation Transmission in Layered Explosives”, to be presented at the Twenty-third Symposium (International) on Combustion, Orleans, France, July (1990).
Lee, J.H.S., “On the Transition from Deflagration to Detonation”. Dynamics of Explosions. Vol. 106, pp.3–18, Progress in Astronautics and Aeronautics, AIAA, (1986).
Taylor, G.I., and Tankin, R.S., “Gas Dynamic Aspects of Detonation”, in Fundamentals of Gas Dynamics, vol. Ill, in the Princeton Series in High Speed Aerodynamics and Jet Propulsion, Princeton University Press, (1958).
“The rate of expansion in gases”, Phil. Trans. Rov.Soc, London A184, pp. 97–188, (1893)
Urtiew, P.A., and Oppenheim, A.K., Comb. Flame, vol. 9, p. 405, (1965).
Urtiew, P.A., and Oppenheim, A.K., Proc. Rov. Soc.. vol.A295, (1966).
Shchelkin, K.J., Soviet Phvsics JETP. vol. 2, pp. 296 – 200, (1956).
Peraldi, O., Knystautas, R. and Lee, J.H, J.H., “Criteria for Transition to Detonation in Tubes”, Twenty-first Symposium flnterpatiQnal) on Combustion, pp.1629–1637, The Combustion Institute, (1988).
Teodorczyk, A., Lee J.H.S., and Knystautas, R, R., “Propagation Mechanism of Quasi-Detonations”, Twenty-Second Symposium (International) on Combustion, pp.1723–1731, The Combustion Institute, (1989).
Gardner, B.R., Winter, R.J., and Moore, MJ, MJ., “Explosion Development and Deflagration-To-Detonation Transition in Coal Dust/Air Suspensions”, Twenty-first Symposium (International) on Combustion, pp.335–343, The Combustion Institute, (1988).
Srinath, S.R., Kauffman, C.W., Nicholls, J.A., and Sichel, M., “Flame Propagation due to Layered Combustible Dust”, Dynamics of Reactive Systems.Vol. 105, Part II, p. 196, Progress in Astronautics and Aeronautics, AIAA, (1986).
Lee, J.H.S, J.H.S., “On the Universal Role of Turbulence in the Propagation of Deflagrations and Detonations”, Computational Fluid Dvanmics and Reacting Gas Flows. Vol. 12, pp. 169–193, The IMA Volumes in Mathematics and its Applications, B. Engquist, M. Luskin, A. Majda, Eds., Springer Verlag, (1988).
Korobeinikov, V.P., and Tsitsiashvili, G.S., “On the probability of arising and propagation of coal mine explosions”, to appear in Archivum Combustions.
Zel’dovitch, Y.B., Gelfand, B.E., Tsyganov, S.A., Frolov, S.M., and Polenov, A.N., “Concentration and Temperature Nonuniformities of Combustible Mixtures as Reason for Pressure Waves Generation”, Dynamics of Explosions. Vol. 114, pp.99–123, Progress in Astronautics and Aeronautics, AIAA, (1988).
Strehlow, R.A., Combustion Fundamentals, Mc Graw Hill, (1984).
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Sichel, M. (1992). Transition to Detonation - Role of Explosion within an Explosion. In: Hussaini, M.Y., Kumar, A., Voigt, R.G. (eds) Major Research Topics in Combustion. ICASE/NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2884-4_24
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DOI: https://doi.org/10.1007/978-1-4612-2884-4_24
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