Lectures on Mathematical Combustion. Lecture 1. Pre-Asymptotic Combustion Revisited
Lectures on Mathematical Combustion. Lecture 1. Pre-Asymptotic Combustion Revisited

Author:

Publisher:

Published: 1983

Total Pages: 26

ISBN-13:

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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.

Lectures on Mathematical Combustion
Lectures on Mathematical Combustion

Author: John David Buckmaster

Publisher: SIAM

Published: 1983-01-01

Total Pages: 134

ISBN-13: 9781611970272

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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.

Lectures on Mathematical Combustion
Lectures on Mathematical Combustion

Author: John D. Buckmaster

Publisher: SIAM

Published: 1983-12-01

Total Pages: 127

ISBN-13: 089871186X

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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.

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

Author: J. D. Buckmaster

Publisher:

Published: 1983

Total Pages: 24

ISBN-13:

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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).

Energy Research Abstracts
Energy Research Abstracts

Author:

Publisher:

Published: 1983

Total Pages: 756

ISBN-13:

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Includes all works deriving from DOE, other related government-sponsored information and foreign nonnuclear information.

Lectures on Mathematical Combustion. Lecture 4. SVFs and NEFs
Lectures on Mathematical Combustion. Lecture 4. SVFs and NEFs

Author: J. D. Buckmaster

Publisher:

Published: 1983

Total Pages: 25

ISBN-13:

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For want of a complete analysis of multidimensional flows in preasymptotic days, it was natural to try to identify special characteristics that play particularly important roles in the understanding of flame behavior. Flame speed and temperature are examples of such characteristics that have already been identified; a more subtle characteristic, introduced by Karlovitz, is flame stretch. The authors start by discussing this concept, so as to have it available when we come to discussing general slowly varying and near-equidiffusional flames. (Author).