Pole Solutions for Flame Front Propagation
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Beschreibung
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.
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.
Solves mathematically unsteady flame propagation Describes new original methods for solving complex non-linear equations and investigating their properties Addresses open problems existing in the field of flame front propagation Includes supplementary material: sn.pub/extras
Autor*in
Oleg Kupervasser
Themen in »Pole Solutions for Flame Front Propagation«
Filtration Combustion Flame Front Propagation Laplacian Growth Pole Solution Radially Propagating Fronts Scaling Laws in Channel Geometries Stability Analysis