Mathematical Analysis of Gasdynamic Wave Initiation

Abstract

Mathematical modelling and analysis are described for studies of the dynamical response of inert or reactive systems to localized rapid power deposition. Theoretical, analytical and numerical methods are developed to find general properties of nonlinear equation systems and explicit solutions for specific initial-boundary value problems. Emphasis is placed on physical interpretation of mathematical results for the transient evolution of spatially distributed thermal and gasdynamic responses. New results are given for thermal explosion processes, for transient development of shocks and detonations, for the role of nonlinear acoustics in gascompression and for thermoacoustically induced mass transfer.... Thermal explosions, Reactive gasdynamics, Detonations, Shocks, Nonlinear acoustics, Perturbation methods.

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Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1992
Accession Number
ADA260382

Entities

People

  • D. R. Kassoy
  • J. Bebernes

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Autoignition
  • Boundaries
  • Boundary Value Problems
  • Chemical Reactions
  • Detonations
  • Differential Equations
  • Equations
  • Exothermic Reactions
  • Explosions
  • Ignition
  • Mathematical Analysis
  • Mathematics
  • Personal Information Managers
  • Perturbations
  • Shock Waves
  • Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.