Lectures on Mathematical Combustion. Lecture 2. Governing Equations, Asymptotics, and Deflagrations.

Abstract

The problem of formulating the governing equations of combusion consists, as its simplest, in characterizing the flow of a viscous, heat-conducting mixture of diffusing, reacting gases. This is a formidable task that could fill a week of lectures by itself, most of which would not be of great interest to a mathematical audience. Mindful of this, we shall limit ourselves to a description, rather than a derivation, of the simplest equations that can be brought to bear on combustion problems. Only the most important assumptions normally used to justify the equations will be discussed; for a more extensive treatment the reader is referred to Buckmaster & Ludford (1982).

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA129908

Entities

People

  • Geoffrey S. S. Ludford
  • J. D. Buckmaster

Organizations

  • Cornell University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Burning Rate
  • Chemical Reaction Properties
  • Chemical Reactions
  • Combustion
  • Deflagration
  • Diffusion
  • Energy
  • Equations
  • Flames
  • Heat Of Activation
  • High Temperature
  • Mach Number
  • Mechanics
  • Payload
  • Temperature Gradients

Fields of Study

  • Mathematics

Readers

  • Combustion science or combustion engineering.
  • Fluid Dynamics.
  • Theoretical Analysis.