Pole Solutions for Flame Front Propagation
Autor: | Oleg Kupervasser |
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EAN: | 9783319188454 |
eBook Format: | |
Sprache: | Englisch |
Produktart: | eBook |
Veröffentlichungsdatum: | 07.07.2015 |
Kategorie: | |
Schlagworte: | Filtration Combustion Flame Front Propagation Laplacian Growth Pole Solution Radially Propagating Fronts Scaling Laws in Channel Geometries Stability Analysis |
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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.