Mathematical Analysis of Transient Reactive Gasdynamics Phenomena

Abstract

Mathematical modelling and analysis are described for studies of the dynamical response of gaseous and solid materials (inert or reactive) 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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 16, 1991
Accession Number
ADA244478

Entities

People

  • D. R. Kassoy
  • J. Bebernes

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Autoignition
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Chemical Reactions
  • Combustion
  • Detonations
  • Equations
  • Explosions
  • Fluids
  • Gases
  • Ignition
  • Internal Combustion Engines
  • Materials
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Rocket Propulsion.