Lectures on Mathematical Combustion. Lecture 6. Cellular Flames
Title | Lectures on Mathematical Combustion. Lecture 6. Cellular Flames PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 31 |
Release | 1983 |
Genre | |
ISBN |
We shall now examine the left stability boundary that was uncovered in lecture 5 in our discussion of NEFs (figure 5.3). The boundary is associated with instabilities leading to cellular flames, i.e. flames whose surfaces are broken up into distinct luminous regions (cells) separated by dark lines. Each line is a ridge of high curvature, convex towards the burnt gas. For a nominally flat flame these cells are very unsteady, growing and subdividing in a chaotic fashion; but curvature, for example, can make stationary.
Lectures on Mathematical Combustion
Title | Lectures on Mathematical Combustion PDF eBook |
Author | John David Buckmaster |
Publisher | SIAM |
Pages | 134 |
Release | 1983-01-01 |
Genre | Science |
ISBN | 9781611970272 |
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 7. Pulsating Flames
Title | Lectures on Mathematical Combustion. Lecture 7. Pulsating Flames PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 28 |
Release | 1983 |
Genre | |
ISBN |
In section 5. it was found that plane NEFs to sufficiently large Lewis number are unstable. Since Im(a) 0 on the stability boundary, the instability is likely to result in either a pulsating flame or a flame that supports traveling waves. Such flames are the subject of this lecture.
Lectures on Mathematical Combustion. Lecture 9. Spherical Diffusion Flames
Title | Lectures on Mathematical Combustion. Lecture 9. Spherical Diffusion Flames PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 27 |
Release | 1983 |
Genre | |
ISBN |
Law has shown that the analysis of spherical diffusion flames is quite similar to that of counterflow diffusion flames, so that some explanation is needed for devoting a separate lecture to them. There are two good reasons. First, the constant-density approximation has been used throughout these lectures in discussing all but plane flames, so there is room for a problem which does not neglect variations in density. (Plane diffusion flames have to be chambered, i.e. the reactants must be supplied at finite locations, which leads to distracting complications). Secondly, the spherical diffusion flame can lead to quite different (and unusual) responses. These arise in the technologically important application to the quasi-steady phase of fuel-drop burning, when a more realistic boundary condition than the conventional one is used. (Author).
Lectures on Mathematical Combustion. Lecture 8. Counterflow Diffusion Flames
Title | Lectures on Mathematical Combustion. Lecture 8. Counterflow Diffusion Flames PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 25 |
Release | 1983 |
Genre | |
ISBN |
The fundamental characteristic of diffusion flames is that the two reactants, fuel and oxidizer, are supplied in different parts of the combustion field, so that they must come together and mix by diffusion before reaction can take place. Counterflowing streams provide one method of bringing them together; the resulting diffusion flames, whose main properties were established by Linan, is the subject of this lecture.
Energy Research Abstracts
Title | Energy Research Abstracts PDF eBook |
Author | |
Publisher | |
Pages | 756 |
Release | 1983 |
Genre | Power resources |
ISBN |
Lectures on Mathematical Combustion. Lecture 4. SVFs and NEFs
Title | Lectures on Mathematical Combustion. Lecture 4. SVFs and NEFs PDF eBook |
Author | J. D. Buckmaster |
Publisher | |
Pages | 25 |
Release | 1983 |
Genre | |
ISBN |
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).