Plane Detonation Wave

Neumann s Classical Theory of the Plane Detonation Wave. See Detonation, Classical Theory of Plane Detonation Wave in Vol 4, D237-R... 

Plane Detonation Waves with Finite.Reactions. 

Structure of a steady-state plane detonation wave with finite reaction zone) (It is an analytical elaboration of von Neumann s model of detonation wave)... 

For example, when a plane detonation wave is used to push a metal plate in contact with the condensed explosive, the plate receives most of the energy from the initial... 

Theory. If p is pressure, v - specific volume, e - specific internal energy, D detonation velocity, u - particle velocity, C - sound velocity, y - adiabatic exponent and q -specific.detonation energy, the velocity of propagation and particle velocity immediately behind any plane detonation wave in an explosive, defined by initial conditions, pD, v0, eQ, and uQ, are given by the first two Rankine-Hugoniot relations ... 

B.D. Lambourn P.W. Wright, "Mach Interaction of Two Plane Detonation Waves , Ibid, pp 142-51 9) Anon, "Military Ex-... 

Detonation, Shock Transmission from Explosive to Metal Plate. Accdg to Cook (Ref 3, p 1H)> R.W. Goranson is credited with suggesting that it is possible to determine the p(x), W(x) and p(x) distribution in the detonation wave by studying the characteristics of the shock wave transmitted from the explosive into a thin metal plate in shock loading of the plate by a detonation wave. In this theory, when a plane detonation wave strikes a metal plate at normal incidence, a shock wave is transmitted into the plate and another is reflected back into the incident wave such. as to give a pressure-distance profile like that illustrated in Fig 5.17 [reproduced by Cook from the paper of Walsh Christian (Ref 1)]. 

See Detonation, Classical Theory of Plane Detonation Wave in Section 2... 

After the discussion of reflection phenomena at boundaries, a method was described for the calcn of the initial shock wave velocity for a shock wave initiated by a plane deton wave. It was also shown that the Riemann r (See our eq... 

Kistiakowsky Zinman (Ref 4, p 87, as quoted in Ref 8, p 209) found that velocities of plane deton waves in gaseous mixts confined in straight tubes fall off with decrease in tube diam. The same effect was observed by Edwards 8t Williams (Ref 5, as quoted in Ref 8, p 209) who offered evidence that it is due to rarefaction waves which form at the tube wall and travel inward at sonic velocity, lowering the temp, the chemical reaction and, in some cases, the deton pressure... 

At the C-J point, the pressure (p) and temp (T) are of the order of 200000 atm and 4000° C, respectively. For a plane detonation wave of infinite extent, p, T, a and D (deton velocity) have definite values for a given expl and depend principally on the physical and chemical properties of the unreacted expl and its deton products, as well as on the density of loading, p... 

In the experiments of Holland et al (Ref 46a ),as cited by Dunkle (Ref 51, pp 202 284), a large single crystal of PETN was initiated by a plane deton wave generated... 

Some of the results of the paper, entitled "Structure of a Steady-State Plane Detonation Wave with Finite Reaction Rate," listed here as Ref 36 were used in that work (See p D726)... 

Definition of a plane detonation wave is given in this writeup under "Detonation Wave, Plane while the definition of a steady-state detonation wave is given under Detonation Wave, Steady (Steady- State) and Nonsteady (Unsteady). These waves are discussed in Refs 15, 23, 24, 28, 36, 51, 52 ... 

Taylor (Ref 26, pp 65ff), under the heading "Elementary Theory of the Steady Plane Detonation Wave gives a comprehensive description which we follow here in a slightly abbreviated form... 

Setting aside for the moment consideration of the mechanism by which stability is realized, Taylor assumes a plane deton wave to have been established in any expl medium. 

Note The above discussion on "Steady-State, Plane Detonation Wave taken from the book of Taylor contains some equations which are listed under DETONATION (AND EX. PLOSION) THEORIES and also at the beginning of this Section entitled DETONATION (AND EXPLOSION) WAVES. Although it is realized that these equations are repetitions, they are not eliminated but just referred in order to preserve the cohesion of the description... 

Detonation Wave, Theories of. An elementary theory of the steady plane detonation wave... 

Taylor (1952), pp 4- 9 (The propagation of the detonation wave) 65- 9 (Elementary theory of the steady plane deton wave) ... 

Plane-Detonation Waves with Finite Reaction Velocity , 4th SympCombstn (1953), pp 450- 57 28a) L. Deffet, et al,... 

J.G.. Kirkwood W..W. Wood, JChemPhys 22, 1915- 19 (1954) CA 49, 2073 (1955) (Structure of a steady-state plane detonation wave with finite reaction rate) 36a) W.W.Wood J.G. Kirkwood, JChemPhys 22, 1920-24... 

P.W. Wright, "Max Interaction of Two Plane Detonation Waves, 4th ONRSympDeton... 

Detonation, classical theory of plane detonation wave 4 D237... 

A. N. Dremin discovered and studied the phenomenon of detonation spin in condensed explosives as well. In liquid explosives the detonation front is also sometimes non-ideally smooth, as was proved in work by Ya.B. and his colleagues in which the smoothness was judged by reflecting light off of the wave front. One of the fundamental questions in the theory of detonation is this why is a plane detonation wave unstable K. I. Shchelkin proposed a theoretical explanation of the instability based on the strong temperature dependence of the reaction rate in a gas which leads to intensification of the pressure perturbation caused by the bending of the leading shock wave. 

Ya.B., together with R. M. Zaidel, showed23 that nonlinear perturbations may also cause one-dimensional instability, i.e., lead to a pulsating detonation wave even without its being bent. Numerical calculations of the process of establishing the structure of a plane detonation wave also indicated one-dimensional instability.24,25... 

An investigation of stability of a plane detonation wave with a distributed chemical reaction with respect to spatial perturbations was performed by V. V. Pukhnachev and J. Erpenbeck27 who considered a supercompressed detonation... 

The Plane Detonation Wave with Finite Reaction Zone... 

Bartlma, F., and K. Schroder. 1986. The diffraction of a plane detonation wave at a convex corner. Combustion Flame 66 237-48. 

While one has reservations about the theoretical methods discussed, the weight of experimental and theoretical evidence suggests that the 8 km/sec value does not correspond to a steady, one-dimensional, plane detonation wave. 

According to the ZND model of detonation, a steady-state plane detonation wave has the pressure-time profile shown in Figure 4.32. 

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