Detonation-propelled shocks in tubular charges as a two-phase problem

Irina Brailovsky; Gregory Sivashinsky

doi:10.1016/j.crme.2012.10.037

Detonation-propelled shocks in tubular charges as a two-phase problem

Irina Brailovsky ¹; Gregory Sivashinsky ¹

¹ School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel

Comptes Rendus. Mécanique, Out of Equilibrium Dynamics, Volume 340 (2012) no. 11-12, pp. 900-909.

Abstract

The article is concerned with the experimentally known phenomenon of the precursor shock driven by the detonation of a tubular charge. It is shown that the basic aspects of the effect may be successfully captured within a one-dimensional two-phase version of the Chapman–Jouguet (CJ) theory. A modified CJ principle for determination of the detonation and precursor shock velocities is discussed.

Published online: 2012-11-01

DOI: 10.1016/j.crme.2012.10.037

Keywords: Detonation in tubular charges, Channel effect, Gas-permeable explosives

Author's affiliations:

Irina Brailovsky ¹; Gregory Sivashinsky ¹

¹ School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel

@article{CRMECA_2012__340_11-12_900_0,
     author = {Irina Brailovsky and Gregory Sivashinsky},
     title = {Detonation-propelled shocks in tubular charges as a two-phase problem},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {900--909},
     publisher = {Elsevier},
     volume = {340},
     number = {11-12},
     year = {2012},
     doi = {10.1016/j.crme.2012.10.037},
     language = {en},
}

TY  - JOUR
AU  - Irina Brailovsky
AU  - Gregory Sivashinsky
TI  - Detonation-propelled shocks in tubular charges as a two-phase problem
JO  - Comptes Rendus. Mécanique
PY  - 2012
SP  - 900
EP  - 909
VL  - 340
IS  - 11-12
PB  - Elsevier
DO  - 10.1016/j.crme.2012.10.037
LA  - en
ID  - CRMECA_2012__340_11-12_900_0
ER  -

%0 Journal Article
%A Irina Brailovsky
%A Gregory Sivashinsky
%T Detonation-propelled shocks in tubular charges as a two-phase problem
%J Comptes Rendus. Mécanique
%D 2012
%P 900-909
%V 340
%N 11-12
%I Elsevier
%R 10.1016/j.crme.2012.10.037
%G en
%F CRMECA_2012__340_11-12_900_0

Irina Brailovsky; Gregory Sivashinsky. Detonation-propelled shocks in tubular charges as a two-phase problem. Comptes Rendus. Mécanique, Out of Equilibrium Dynamics, Volume 340 (2012) no. 11-12, pp. 900-909. doi : 10.1016/j.crme.2012.10.037. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.037/

References
Cited by

[1] Ya.B. Zeldovich On the theory of the propagation of detonation in gaseous systems, Sov. J. Exp. Theor. Phys., Volume 10 (1940), pp. 542-568

[2] D.W. Woodhead Velocity of detonation of a tubular charge of explosive, Nature, Volume 160 (1947), p. 644

[3] D.W. Woodhead Advance detonation in a tubular charge of explosive, Nature, Volume 183 (1959), pp. 1756-1757

[4] D.W. Woodhead; H. Titman Detonation phenomena in a tubular charge of explosive, Explosivstoffe, Volume 13 (1965), pp. 113-123 (141–155)

[5] C.H. Johansson; P.A. Persson Detonics of High Explosives, Academic Press, London, 1970

[6] V.M. Titov; G.A. Shvetsov Laboratory methods of launching projectiles by means of shaped charges, Combust. Expl. Shock Waves, Volume 6 (1969), pp. 349-351

[7] P.A. Lasorskii; A.V. Plastinin; V.V. Silʼvestrov; V.M. Titov Acceleration of solid particles during cumulation of detonation products in vacuum, Combust. Expl. Shock Waves, Volume 35 (1999), pp. 443-446

[8] L.E. Fugelso; J.N. Albright; G.C. Langer; K.L. Burns A hypervelocity projectile launcher for well perforation, Int. J. Impact Eng., Volume 10 (1990), pp. 171-184

[9] L.V. Dubnov; L.D. Khotina Channel effect mechanism in the detonation of condensed explosives, Combust. Expl. Shock Waves, Volume 2 (1966), pp. 59-63

[10] H. Ahrens; H. Ahrens Über den detonationsvorgang bei zylindrischen sprengstoffadungen mit axialer höhlung, Explosivstoffe, Volume 13 (1965), pp. 124-134 (155–164, 180–198, 267–276, 295–309 145, 175–185)

[11] A.S. Zagumennov; N.S. Titova; Yu.I. Fadeenko; V.P. Chistyakov Detonation of elongated charges with cavities, Sov. J. Appl. Mech. Tech. Phys., Volume 10 (1969), pp. 246-250

[12] V.V. Mitrofanov Ultra-speed detonation in charges with longitudinal channels, Combust. Expl. Shock Waves, Volume 11 (1975), pp. 63-79

[13] I.T. Bakirov; V.V. Mitrofanov High-velocity two-layer detonation in an explosive-gas system, Sov. Phys. Dokl., Volume 21 (1976), pp. 704-706

[14] V.V. Mitrofanov Detonation in two-layer systems, Acta Astronaut., Volume 3 (1976), pp. 995-1004

[15] M. Held Influence of longitudinal gaps on the detonation front, Propellants Explos. Pyrotech., Volume 20 (1995), pp. 170-177

[16] F. Sumiya; K. Tokita; M. Nakano; Y. Ogata; Y. Wada; M. Seto; K. Katsuyama; S. Ito Experimental study of the channel effect in emulsion explosives, J. Mater. Process. Technol., Volume 85 (1999), pp. 25-29

[17] M.J. Gifford; K. Tsembelis; J.E. Field Anomalous detonation velocities following type II deflagration-to-detonation transition in pentaerythritol tetranitrate, J. Appl. Phys., Volume 91 (2002), pp. 4995-5001

[18] V. Tanguay; A.J. Higgins The high-explosive channel effect: Influence of boundary layers on the precursor shock wave in air, J. Appl. Phys., Volume 95 (2004), pp. 6159-6166

[19] V. Tanguay; A.J. Higgins The channel effect: Coupling of the detonation and the precursor shock wave by precompression of the explosive, J. Appl. Phys., Volume 96 (2004), pp. 894-4902

[20] A.K. Kapila; R. Menikoff; J.B. Bdzil; S.F. Son; D.S. Stewart Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations, Phys. Fluids, Volume 13 (2001), pp. 3002-3024

[21] R.I. Nigmatulin Dynamics of Multiphase Media, Hemisphere, New York, 1991

[22] A.A. Zenin, Study of combustion mechanism of nitramine–polymer mixtures, Final Tech. Rep. 1999012214, European Research Office of the US Army, Contract N68171-97-M-5771, Nov. 1998.

[23] T. Mitani; F.A. Williams A model for the deflagration of nitramines, Proc. Combust. Inst., Volume 21 (1986), pp. 1965-1974

[24] H. Berestycki; L. Kagan; S. Kamin; G. Sivashinsky Metastable behaviour for premixed gas flames propagating through rectangular channels, Interfaces Free Bound., Volume 6 (2004), pp. 423-438

[25] L.S. Kagan; S.B. Margolis; G.I. Sivashinsky Modelling of the transition from conductive to convective burning in porous energetic materials, Combust. Theory Model., Volume 16 (2012), pp. 737-746

Cited by Sources:

Comments - Policy