University of Illinois Urbana-Champaign

Shock dynamics of multidimensional condensed and gas phase detonations

Stewart, D. Scott

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https://hdl.handle.net/2142/112597

Description

Title
Shock dynamics of multidimensional condensed and gas phase detonations
Author(s)
Stewart, D. Scott
Issue Date
1998-09
Keyword(s)
  • Shock Dynamics
  • Multidimensional Condensed Detonations
  • Gas Phase Detonations
Abstract
Detonations arc comprised of broad detonation shocks supported by thin reaction zones. Approximations based on weak shock curvature measured on the inverse reaction zone scale, and quasi-steady flow, measured on the particle passage time through the reaction zone can be used to simplify the mathematical description of detonations that arc governed the gasdynamic equations for a reacting flow. When the detonation reaction zone contains a sonic locus it is possible to derive intrinsic ( coordinate independent) partial differential equations for the lead detonation shock's motion in terms of the normal detonation shock velocity, the shock curvature and higher normal time derivatives. We refer to this collection of theory and supporting experimental results as Detonation Shock Dynamics after Whitham's Geometrical Shock Dynamics. The reduced detonation dynamics is based on the concept of a eigenvalue (sonic) detonation, an idea that goes back to the original investigations in the 1940's. We present a review of the theoretical and experimental developments and attempt to update Fickett and Davis' discussion of work prior to 1980. We give examples of the theory and applications which include: i) weakly-curved, quasi-steady, near-CJ detonation ii) critical detonation curvature iii) quasi-steady extinction and ignition (and low velocity detonation) iv) shock acceleration effects and v) cellular and pulsating detonation in gases. We also review the engineering method of Detonation Shock Dynamics as it is applied to explosive systems. Extended version of lecture given at Cambridge U 4/1997 entitled: Dynamics of Multi-dimensional Detonation at the workshop Combustion Science at the End of the Millennium in honor of Prof J.F. Clarke.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 890
  • 1998-6016
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112597
Sponsor(s)/Grant Number(s)
Air Force Wright Laboratory; Los Alamos National Laboratory; Air Force Office of Scientific Research; Department of Energy
Copyright and License Information
Copyright 1998 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.