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Simulation of Condensed‐Explosive Detonation Phenomena with Gases

dc.contributor.authorSommers, William Paul.en_US
dc.contributor.authorMorrison, Richard Boyden_US
dc.date.accessioned2010-05-06T23:17:21Z
dc.date.available2010-05-06T23:17:21Z
dc.date.issued1962-02en_US
dc.identifier.citationSommers, William P.; Morrison, Richard B. (1962). "Simulation of Condensed‐Explosive Detonation Phenomena with Gases." Physics of Fluids 5(2): 241-248. <http://hdl.handle.net/2027.42/71153>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71153
dc.description.abstractThe detonation of a condensed explosive within a solid container and the detonation of a gaseous explosive within an inert‐gas boundary are found to be hydrodynamically similar situations. Experiments with hydrogen, methane, ethane, and propane‐oxygen mixtures confined by air or helium boundaries show that, as with condensed explosives, the properties of the boundary strongly influence the detonation characteristics of the explosive. Schlieren photographs of the interaction process between a gaseous detonation wave and an inert‐compressible‐gas boundary show that the detonation wave becomes curved, and in some cases is quenched, the quenching process being initiated at the compressible boundary. Either oblique or detached shocks are found to occur in the boundary. These observations parallel those made from experiments in which condensed explosives were confined by solid boundaries. With the use of an idealized‐flow model, the acoustic‐impedance ratio of the gaseous boundary to the explosive is determined to be the parameter which characterizes the confining ability of the boundary. Application of these results to condensed‐explosive detonations provides an understanding of some experimentally observed phenomenaen_US
dc.format.extent3102 bytes
dc.format.extent1014748 bytes
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dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleSimulation of Condensed‐Explosive Detonation Phenomena with Gasesen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumAeronautical and Astronautical Engineering Department, University of Michigan, Ann Arbor, Michiganen_US
dc.contributor.affiliationotherThe Martin‐Marietta Corporation, Aerospace Division, Baltimore, Marylanden_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71153/2/PFLDAS-5-2-241-1.pdf
dc.identifier.doi10.1063/1.1706602en_US
dc.identifier.sourcePhysics of Fluidsen_US
dc.identifier.citedreferenceR. W. Goranson, D. Bancroft, B. L. Burton, T. Blechar, E. E. Houston, E. F. Glittings, and S. A. Landeen, J. Appl. Phys. 28, 1472 (1955).en_US
dc.identifier.citedreferenceM. H. Rice, R. G. McQueen, and J. M. Walsh, in Solid State Physics, edited by F. Seitz and D. Turnbull (Academic Press Inc., New York, 1958), Vol. 6, Part I.en_US
dc.identifier.citedreferenceA. W. Campbell, M. E. Malin, and T. E. Holland, Second ONR Symposium on Detonation (1955).en_US
dc.identifier.citedreferenceL. Medard, Mém. des poudres 39, 47 (1957).en_US
dc.identifier.citedreferenceM. A. Cook, The Science of High Explosives (Reinhold Publishing Corporation, New York, 1958), p. 100.en_US
dc.identifier.citedreferenceS. J. Jacobs, ARS J. 30, 151 (1960).en_US
dc.identifier.citedreferenceS. Paterson, Tek.‐Vetenskap. Forsk. 29, 109 (1958).en_US
dc.identifier.citedreferenceW. P. Sommers, Ph.D. thesis, University of Michigan, 1961.en_US
dc.identifier.citedreferenceResearch on other forms of the departure of detonations from the ideal, one‐dimensional flow model have been reported recently by J. A. Fay [J. Chem. Phys. 29, 955 (1958)], D. R. White, [Phys. Fluids 4, 465 (1961)], and Yu. N. Denisov, Ya. K. Trashin, and K. I. Shchelkin, [Bull. Acad. Sci. U.S.S.R., Div. Tech. Sci., Power and Automation, No. 6, 79 (1959)]. The research reported in these articles was concerned with detonation in one‐dimensional passages. However, because of second‐order effects usually neglected analytically such as turbulence, combustion instability in the reaction zone, and boundary‐layer growth within the reaction zone, detonation under these conditions is not one dimensional. In the present study gross departure from one dimensionality is caused by the inherently two‐dimensional nature of the confinement provided by the compressible boundary. Any second‐order effects are considered to be negligible relative to the compressible boundary effect.en_US
dc.identifier.citedreferenceH. Eyring, R. E. Powell, G. H. Duffey, and R. B. Parlin, Chem. Revs. 45, 69 (1949).en_US
dc.identifier.citedreferenceJ. O. Erkman, Phys. Fluids 1, 535 (1958).en_US
dc.identifier.citedreferenceAlthough the two gases have the same flow velocity they do not in general have the same Mach number. It was found that for virtually any combination of explosive and boundary gas, the Mach numbers of both flows were greater than one, meaning a shock wave must exist in the boundary. The same was found to be true for condensed explosives and solid boundaries.en_US
dc.identifier.citedreferenceH. W. Liepmann and A. Roshko, Elements of Gasdynamics (John Wiley & Sons, Inc., New York, 1957), Chaps. 3 and 4.en_US
dc.identifier.citedreferenceThe interaction of a detonation with a gas boundary is similar in some respects to the collision of a shock wave with a slip plane. In both cases the use of simplifications, such as either very weak or very strong shocks, can lead to closed solutions, but in general a trial‐and‐error solution must be pursued. The shock wave‐slip plane interaction problem is discussed by A. H. Shapiro [The Dynamics and Thermodynamics of Compressible Fluid Flow (The Ronald Press Company, New York, 1953), Vol. I, Chap. 16] and W. D. Hayes and R. F. Probstein [Hypersonic Flow Theory (Academic Press Inc., New York, 1959), Chap. 7].en_US
dc.identifier.citedreferenceHandbook of Chemistry and Physics (Chemical Rubber Publishing Company, Cleveland, Ohio, 1958), 40th ed.en_US
dc.identifier.citedreferenceE. P. Butt, British Ministry of Supply Rept. No. 3∕R∕58, (1958).en_US
dc.identifier.citedreferenceT. P. Cotter, Ph.D. thesis, Cornell University (1953).en_US
dc.owningcollnamePhysics, Department of


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