Pole Solutions for Flame Front Propagation
Seiten
2015
|
1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-18844-7 (ISBN)
Springer International Publishing (Verlag)
978-3-319-18844-7 (ISBN)
This book deals with solving mathematically the unsteady flame propagation equations. New original mathematical methods for solving complex non-linear equations and investigating their properties are presented. Pole solutions for flame front propagation are developed. Premixed flames and filtration combustion have remarkable properties: the complex nonlinear integro-differential equations for these problems have exact analytical solutions described by the motion of poles in a complex plane. Instead of complex equations, a finite set of ordinary differential equations is applied. These solutions help to investigate analytically and numerically properties of the flame front propagation equations.
Introduction.- Pole-Dynamics in Unstable Front Propagation: The Case of the Channel Geometry.- Using of Pole Dynamics for Stability Analysis of Premixed Flame Fronts: Dynamical Systems Approach in the Complex Plane.- Dynamics and Wrinkling of Radially Propagating Fronts Inferred from Scaling Laws in Channel Geometries.- Laplacian Growth Without Surface Tension in Filtration Combustion: Analytical Pole Solution.- Summary.
| Erscheint lt. Verlag | 21.7.2015 |
|---|---|
| Reihe/Serie | Mathematical and Analytical Techniques with Applications to Engineering |
| Zusatzinfo | XII, 118 p. 37 illus., 10 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Plasmaphysik | |
| Technik ► Maschinenbau | |
| Schlagworte | Filtration Combustion • Flame Front Propagation • Laplacian Growth • Pole Solution • Radially Propagating Fronts • Scaling Laws in Channel Geometries • Stability Analysis |
| ISBN-10 | 3-319-18844-5 / 3319188445 |
| ISBN-13 | 978-3-319-18844-7 / 9783319188447 |
| Zustand | Neuware |
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