A Fundamental Mathematical Theory in the Dynamics of Combustion Processes

Abstract

This research project has emphasized the formulation of rational mathematical models for transient and steady combustion processes. In particular thermal explosions, detonation wave initiation and high speed combustion waves have been examined. In each case the describing mathematical system is analyzed using both formal and constructive techniques. The former are employed to consider issues of existence and uniqueness, solution bonds and general trajectory properties. Constructive solution development is based on a combination of asymptotic and numerical methods. This hybrid approach to the study of combustion problems has permitted us to develop both a rigorous and quantitative understanding of complex, initial-boundary value problems. This report contains a summary description of each of the 15 papers contributed by the research group. Keywords: Reactive gasdynamics.

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Document Details

Document Type
Technical Report
Publication Date
Oct 08, 1988
Accession Number
ADA201284

Entities

People

  • D. R. Kassoy
  • J. Bebernes

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundary Value Problems
  • Chemical Kinetics
  • Chemical Reaction Properties
  • Chemical Reactions
  • Chemistry
  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Detonation Waves
  • Differential Equations
  • Equations
  • Exothermic Reactions
  • Explosions
  • Fluid Dynamics
  • Mathematical Models
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Rocket Propulsion.