Lectures on Mathematical Combustion. Lecture 2. Governing Equations, Asymptotics, and Deflagrations
Title | Lectures on Mathematical Combustion. Lecture 2. Governing Equations, Asymptotics, and Deflagrations PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 24 |
Release | 1983 |
Genre | |
ISBN |
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).
Lectures on Mathematical Combustion
Title | Lectures on Mathematical Combustion PDF eBook |
Author | John D. Buckmaster |
Publisher | SIAM |
Pages | 127 |
Release | 1983-12-01 |
Genre | Science |
ISBN | 089871186X |
An introduction to far-reaching developments in theoretical combustion, with special emphasis on flame stability, a topic that has, to date, benefited most from the application of modern asymptotic methods. The authors provide a modern view of flame theory, and a complete description of the longstanding ignition and explosion problems, including the solutions that were made available independently by Kapila and Kassoy through activation-energy asymptotics, the main theme of this monograph.
Energy Research Abstracts
Title | Energy Research Abstracts PDF eBook |
Author | |
Publisher | |
Pages | 508 |
Release | 1983 |
Genre | Power resources |
ISBN |
Scientific and Technical Aerospace Reports
Title | Scientific and Technical Aerospace Reports PDF eBook |
Author | |
Publisher | |
Pages | 1368 |
Release | 1983 |
Genre | Aeronautics |
ISBN |
ERDA Energy Research Abstracts
Title | ERDA Energy Research Abstracts PDF eBook |
Author | |
Publisher | |
Pages | 668 |
Release | 1983 |
Genre | Power resources |
ISBN |
Fossil Energy Update
Title | Fossil Energy Update PDF eBook |
Author | |
Publisher | |
Pages | 742 |
Release | 1983 |
Genre | Fossil fuels |
ISBN |
Lectures on Mathematical Combustion. Lecture 1. Pre-Asymptotic Combustion Revisited
Title | Lectures on Mathematical Combustion. Lecture 1. Pre-Asymptotic Combustion Revisited PDF eBook |
Author | |
Publisher | |
Pages | 26 |
Release | 1983 |
Genre | |
ISBN |
The description of reacting systems can be simplified when the so- called activation energy is large; the notion is an old one, but its full power is only released by modern singular perturbation theory. More than forty years ago, Frank-Kamenetskii introduced approximations based on large activation energy to construct a thermal theory of spontaneous combustion, and we shall start there. His problem, which neglects the fluid-mechanical effects of main concern to us, focuses attention on the reaction and thereby acts as a precursor for the lectures that follow. The problem and its generalizations have been the happy hunting grounds of mathematical analysts for many years, but it was not until quite recently that a complete description of the ignition and explosion processes was made available of Kapila and Kassoy (working separately) through activation-energy asymptotics, the main theme of these lectures.