A Fundamental Mathematical Theory for Thermal Explosions in Rigid Solids and in Gases.

Abstract

This research project has emphasized the formulation of rational mathematical models for transient and steady combustion processes. In particular thermal explosion, shock 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 bounds 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. Keywords: Thermal explosion; combustion; flames; deflagrations; reactive gas dynamics.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1986
Accession Number
ADA164692

Entities

People

  • D. R. Kassoy
  • J. Bebernes

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Applied Mathematics
  • Boundary Layer
  • Boundary Value Problems
  • Chemical Reaction Properties
  • Chemical Reactions
  • Combustion
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dissociation
  • Energy
  • Equations
  • Fluid Mechanics
  • Heat Transfer
  • Military Research
  • Navier Stokes Equations

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Rocket Propulsion.
  • Systems Analysis and Design