Abstract
This chapter overviews the detonation properties in right circular cylinders of non-ideal HE’s. This requires some understanding of 2-D hydrodynamic flow and modified ZND theory for non-ideal HE’s. This chapter will first cover the modified ZND detonation theory for non-ideal HE’s. Then a review of experimental techniques using right circular cylindrical samples will be presented since detonation science’s understanding is primarily based on the large experimental data base from cylindrical samples. This will be followed by curved detonation front theory for right circular cylindrical samples and a brief overview of select 2-D flow conditions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Cowperthwaite, A model solution for nonideal one-dimensional detonation waves. in Proceedings of the Eighth Symposium (International) on Detonation, NSWC MP 86–194, Albuquerque, 1985, pp. 1025–1031
M. Cowperthwaite, An exact solution for axial flow in cylindrically symmetric, steady-state detonation in polytropic explosive with arbitrary rate of decomposition. Phys. Fluid. 6(3), 1357–1378 (1994)
B. Hayes, R.R. McQuire, in Proceedings of Symposium on High Dynamic Pressures,, Commissart a l’Engergie Atomique, Paris, 1978, p. 245
W.W. Wood, J.G. Kirkwood, Diameter effect in condensed explosives. The relation between velocity and radius of curvature of the detonation wave. J. Chem. Phys. 22(11), 1920 (1954)
W.C. Davis, B.G. Craig, J.B. Ramsey, Failure of the Chapman-Jouguet theory for liquid and solid explosives. Phys. Fluid. 8, 2169 (1965)
J.B. Bdzil, W.C. Davis, Time dependent detonations (Mathematical model for). Los Alamos Scientific Laboratory Report LA −5926-MS, 1975
H.M. Sternberg, L. Hudson, Equations of states for underwater explosives. The 1987 International Symposium Pyrotechnics and Explosives. (China Academic Press, Beijing, 1987)
R.H. Guirguis, P.J. Miller, Time-dependent equation of state for aluminized underwater explosives. in Proceedings of the Tenth Symposium (International) on Detonation, ONR OCNR 33395–12, Boston, 1993, p. 675
P.J. Miller, A reactive flow model with coupled reaction kinetics for detonation and combustion in non-ideal explosives. Mat. Res. Soc. Symp. Proc. 418, 413–420 (1996)
A.W. Cambell, R. Engelke, The diameter effect in high-density heterogeneous explosives. in Proceedings of the, Sixth Detonation (International) Symposium on Detonation, Coronado, 1976, p. 642
M. Cowperthwaite, W.H. Zwisler, The JCZ equations of state for detonation products and the incorporation into the TIGER code. in Proceedings of the 6th Symposium (International) on Detonation, Coronado, 24–27 Aug 1976, pp. 162
W.M. Howard, L.E. Fried, P.C. Souers, Kinetic modeling of non-ideal explosives with CHEETAH. in Proceedings of the Eleventh International Detonation Symposium, Snowmass, 31 Aug–4 Sept 1998
J.W. Forbes, E.R. Lemar, Detonation wave velocity and curvature of a plastic-bonded, nonideal explosive PBXN-111 as a function of diameter and confinement. J. Appl. Phys. 84(12), 6600 (1998)
J.W. Forbes, E.R. Lemar, G.T. Sutherland, R.N. Baker, Detonation wave curvature, corner turning, and unreached Hugoniot of PBXN-111, NSWCDD/TR-92/164, 19 Mar 1992 (online DTIC AD-A263-898)
B.M. Dobatz, P.C. Crawford, LLNL Explosives Handbook: Properties of Chemical Explosives and Explosive Stimulants. UCRL-52997 Change 2 (Lawrence Livermore National Laboratory, Livermore, 1985). 31 Jan 1985
T.R. Gibbs, A. Popolato, LASL Explosive Property Data (University of California Press, Berkeley, 1980)
A. Dremin, Towards Detonation (Springer, New York, 1999)
C.M. Tarver, E.M. McGuire, Reactive flow modeling of the interactions of TATB detonation Waves with inert materials. in Proceedings of the Twelfth International Detonation Symposium, ONR 333-05-2, San Diego, 2002, pp. 641–649
D.L. Kennedy, Multi-valued normal shock velocity versus curvature relationships for highly non-ideal explosives. in Proceedings of the Eleventh International Detonation Symposium, ONR 33300–5, Snowmass, 1998, pp. 181–192
E.R. Lemar, J.W. Forbes, M. Cowperthwaite, Oblique shock wave calculations for detonation waves in brass confined and bare PBXN-111 cylindrical charges. in Shock Compression of Condensed Matter-1997, ed. by S.C. Schmidt, D.P. Dandekar, J.W. Forbes, AIP Conference Proceedings, Amherst 1998
R. Duff, E. Houston, J. Chem. Phys. 23, 1268 (1955)
J. Deal, Chem. Phys. 27, 796 (1957)
V.A. Veretennikov, A.N. Dremin, O.K. Rozanov, K.K. Shevedov, Combust. Explos. Shock Waves (USSR) 3 pp. 1–8 (1967)
S.A. Sheffield, D.D. Bloomquist, C.M. Tarver, Subnanosecond measurements of detonation fronts in solid high explosives. J. Chem. Phys. 80(8), 3831 (1984)
N.C. Coleburn, Chapman-Jouguet Pressures of Several Pure and Mixed Explosives. NOLTR 64–58, 25 June 1964 (online DTIC AD0603540)
M.H. Rice, J.M. Walsh, J. Chem. Phys. 26, 824–830 (1957)
M. Finger, E. Lee, F.H. Helm, B. Hayes, H. Hornig, R. McGuire, M. Kahara, The effect of elemental compositions on the detonation behavior of explosives. in Proceedings of the Sixth Symposium (International) on Detonation, Naval Surface Weapons Center, White Oak, 24–27 Aug 1976, pp. 710–722
B. Hayes, C.M. Tarver, Interpolation of detonation parameters from experimental particle velocity records. in Proceedings of the Seventh Symposium (International) on Detonation, Naval Academy, Annapolis, 24–27 Aug 1976, p. 1029
B. Hayes, J.N. Fritz, Measurement of mass motion in detonation by an axially-symmetric electromagnetic technique. in Proceedings of the Fifth Symposium (International) on Detonation, ACR-184, Pasadena, 1970, pp. 447–454
N.L. Coleburn, T.P. Liddiard Jr., Hugoniot equations of state of several unreacted explosives. J. Chem. Phys. 44, 1929–1936 (1966)
P.A. Urtiew, B. Hayes, Parametric study of the dynamic JWL-EOS for detonation products. Combust. Explo. Shock Waves 27, 505–514 (1991)
S.A. Sheffield, D.D. Bloomquist, Subnanosecond velocity interferometer measurements of detontating PBX-9502, in discussions. in Proceedings of the Seventh Symposium (International) on Detonation, Annapolis, 16–19 June 1981, pp. 1084–1085
D.E. Hooks, D.B. Hayes, D.E. Hare, D. Reisman, K.S. Vandersall, J.W. Forbes, C. Hall, Isentropic compression of cyclotetramethylenetetanitramine (HMX) single crystals to 50 GPa. J. Appl. Phys. 99, 124901 (2006)
M. Cowperthwaite, J.T. Rosenberg, Lagrange gage studies of detonation in some intermolecular EA based explosives. in Proceedings of the Eighth Symposium (International) on Detonation, Albuerquerque, 15–19 July 1985, p. 111
E.L. Lee, C.M. Tarver, Phenomenological model of shock initiation in heterogeneous explosives. Phys. Fluid. 23(12), 2362 (1980)
P.A. Urtiew, A.S. Kusubov, R.E. Duff, Cellular structure of detonation in nitromethane. Combust. Flame 14, 117–122 (1970)
P.A. Urtiew, From cellular structure for failure waves in liquid detonations. Combust. Flame 25, 241–245 (1975)
P.A. Urtiew, C.M. Tarver, Effects of cellular structure on the behavior of gaseous detonation waves under transient conditions. in Gas Dynamics of Detonations and Explosions, ed by J.R. Bowen, N. Manson A.K. Oppenheim, R.I. Soloukhin, Vol. 75 of Progress in Astronautics and Aeronautics, 1981
F. Pintgen, C.A. Ecket, J.M. Austin, J.E. Shepherd, Direct observations of reaction zone structure in propagating detonations. Combust. Flame 133, 211–219 (2003)
J.G. Kirkwood, W.W. Wood, Structure of a steady-state plane detonation wave with finite rate. J. Chem. Phys. 22(11), 1915 (1954)
J.B. Bdzil, W. Ficket, D.S. Stewart, Detonation shock dynamics: A new approach to modeling multi-dimensional detonation waves. in Proceedings of the Ninth Symposium (International) on Detonation, Portland, 28 Aug–1 Sep 1989
T.D. Aslam, J.B. Bdzil, L.G. Hill, Extensions to DSD theory: Analysis of PBX 9502 rate stick data. in Proceedings of the Eleventh International Detonation Symposium, ONR 33300–5, Snowmass, 1998, pp. 21–29
J.D. Yao, S. Stewart, On the dynamics of multi-dimensional detonation. J. Fluid Mech. 309, 225–275 (1996)
G.T. Sutherland, E.R. Lemar, J.W. Forbes, E. Anderson, P. Miller, K.D. Ashwell, R.N. Baker, T.P. Liddard, Shock wave and detonation wave response of selected HMX based research explosives with HTPB binder systems, in High-Pressure Science and Technology-1993, ed. by S.C. Schmidt, J.W. Shaner, G.A. Samara, M. Ross. AIP Conference Proceedings, vol. 309 (AIP, New York, 1993), pp. 1413–1416
G.T. Sutherland, E.R. Lemar, M.H. Marcus, Analysis of wave curvature experiments for monomodal explosives with different crystal quality and particle size characteristics. AIP Conf. Proc. 955, 873–876 (2007)
D.L. Kennedy, D.A. Jones, Modelling shock initiation and detonation in the non-ideal explosive PBXW-115. in Proceedings of the Tenth International Detonation Symposium, ONR 33395–12, Boston, 1993, pp. 665–674
R. Courant, K.O. Friedrichs, Supersonic Flow and Shock Waves (Springer Verlag, New York 1948), reprinted 1976, pp. 297–302
D.S. Stewart, J.B. Bdzil, Examples of detonation shock dynamics for detonation wave spreading. in Proceedings of the Ninth Symposium (International) on Detonation, OCNR 113291–7, Portland, 1989, pp. 773–783
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Forbes, J.W. (2012). Steady Detonation Waves in Right Circular Cylinders of Non-ideal Explosives. In: Shock Wave Compression of Condensed Matter. Shock Wave and High Pressure Phenomena. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32535-9_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-32535-9_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32534-2
Online ISBN: 978-3-642-32535-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)