Pole Solutions for Flame Front Propagation
Kupervasser, Oleg.
Pole Solutions for Flame Front Propagation by Oleg Kupervasser. - 1 recurso en línea (XII, 118 páginas 37 ilustraciones, 10 ilustraciones a color.) - Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458 Engineering (Springer-11647) .
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.
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.
9783319188454
10.1007/978-3-319-18845-4 doi
Ecuaciones en diferencias
Ecuaciones integrales--Soluciones numéricas
QA431 / 2015 EB
Pole Solutions for Flame Front Propagation by Oleg Kupervasser. - 1 recurso en línea (XII, 118 páginas 37 ilustraciones, 10 ilustraciones a color.) - Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458 Engineering (Springer-11647) .
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.
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.
9783319188454
10.1007/978-3-319-18845-4 doi
Ecuaciones en diferencias
Ecuaciones integrales--Soluciones numéricas
QA431 / 2015 EB