Mathematical Theory of Laminar Combustion. III. Perturbations
Mathematical Theory of Laminar Combustion. III. Perturbations

Author: J. D. Buckmaster

Publisher:

Published: 1978

Total Pages: 21

ISBN-13:

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Perturbations of a plane premixed flame propagating steadily along a uniform duct are considered. These may be caused by heat loss through the sides of the duct, for which conditions are steady, or by slight variations in the cross section, when a slowly varying flame results. Such unsteadiness may also be self-induced. The results, which concern quenching, stability and velocity changes as well as the behavior of an elementary burner, are remarkably sensitive to whether the Lewis number is greater or less than one. (Author).

Mathematical Theory of Laminar Combustion. VIII. Three-Dimensional Flames
Mathematical Theory of Laminar Combustion. VIII. Three-Dimensional Flames

Author: J. D. Buckmaster

Publisher:

Published: 1980

Total Pages: 30

ISBN-13:

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This report is Chapter VIII of the twelve in forthcoming research monograph on the mathematical theory of laminar combustion. A theory of three-dimensional flames is developed, showing the key roles played by slow variation and near equidiffusion. The basic equation of slowly varying flames is developed, while near-equidiffusional flames are shown to lead to moving-boundary problems of Stefan type. The notion of flame stretch is investigated.

Mathematical Theory of Laminar Combustion. II. The Premixed Plane Flame
Mathematical Theory of Laminar Combustion. II. The Premixed Plane Flame

Author: J. D. Buckmaster

Publisher:

Published: 1978

Total Pages: 23

ISBN-13:

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An earlier paper (MRC TSR no. 1803) indicated that rational analysis of the governing equations of combustion can be based on activation-energy asymptotics. As an example, the basic problem of combustion theory is treated, namely the premixed plane flame (i.e. the unlimited one-dimensional steady solution).

Mathematical Theory of Laminar Combustion
Mathematical Theory of Laminar Combustion

Author: John David Buckmaster

Publisher:

Published: 1977

Total Pages: 28

ISBN-13:

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The governing equations of combustion are derived from the standpoint of continuum mechanics; and an indication is given of how their rational analysis can be based on activation-energy asymptotics. (Author).

Theory of Laminar Flames
Theory of Laminar Flames

Author: J. D. Buckmaster

Publisher: Cambridge University Press

Published: 2008-12-04

Total Pages: 0

ISBN-13: 9780521091923

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This monograph deals with the structure, generation and stability of flames from a mathematical point of view. It uses a specific mathematical approach to provide a unified theoretical description of fundamental flame phenomena. Its importance stems from the fact that it provides the first clear evidence that combustion can be legitimately treated as a mathematical science as well as an empirical one. The book will be of interest to researchers in combustion, fluid mechanics and applied mathematics, as well as to graduate students taking advanced courses in these areas.

Mathematical Theory of Laminar Combustion. IX. Burner Flames
Mathematical Theory of Laminar Combustion. IX. Burner Flames

Author: J. D. Buckmaster

Publisher:

Published: 1980

Total Pages: 36

ISBN-13:

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This report is Chapter IX of the twelve in a forthcoming research monograph on the mathematical theory of laminar combustion. The three parts of a burner flame (namely base, cone and tip) are examined using both the slowly varying and near-equidiffusional theories of Chapter VIII. (Author).

The Mathematics of Combustion
The Mathematics of Combustion

Author: John D. Buckmaster

Publisher: SIAM

Published: 1985-09-04

Total Pages: 258

ISBN-13: 0898710537

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Explores the rapidly changing area of combustion, in which asymptotic methods and bifurcation theory have made a significant impact.