TIME-DEPENDENT TWO-DIMENSIONAL DETONATION: THE INTERACTION OF EDGE RAREFACTIONS WITH FINITE LENGTH REACTION ZONES.

John B. Bdzil, Donald Scott Stewart

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Abstract

A theory of time-dependent two-dimensional detonation is developed for an explosive with a finite thickness reaction zone. A representative initial-boundary value problem is treated that illustrates how the planar shock of an initially one-dimensional detonation becomes nonplanar in response to the action of an edge rarefaction that is generated at the explosive's lateral surface. The solution of this time-dependent problem has a wave-hierarchy structure that at late times includes a weakly two-dimensional hyperbolic region and a fully two-dimensional parabolic region. The wave head of the rarefaction is carried by the hyperbolic region. We show that the shock locus is analytic at the wave head. The dynamics of the final approach to two-dimensional steady-state detonation is controlled by Burgers equation for the shock locus.

Original languageEnglish (US)
Title of host publicationT.&A.M. Report (University of Illinois at Urbana - Champaign, Department of Theoretical and Applied Mechanics)
Edition476
StatePublished - Jan 1986
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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