Kupervasser, Oleg.
Pole Solutions for Flame Front Propagation [electronic resource] / by Oleg Kupervasser. - XII, 118 p. 37 illus., 10 illus. in color. online resource. - Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458 . - Mathematical and Analytical Techniques with Applications to Engineering, .
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
Engineering.
Plasma (Ionized gases).
Applied mathematics.
Engineering mathematics.
Fluid mechanics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Plasma Physics.
Engineering Fluid Dynamics.
TA329-348 TA640-643
519
Pole Solutions for Flame Front Propagation [electronic resource] / by Oleg Kupervasser. - XII, 118 p. 37 illus., 10 illus. in color. online resource. - Mathematical and Analytical Techniques with Applications to Engineering, 1559-7458 . - Mathematical and Analytical Techniques with Applications to Engineering, .
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
Engineering.
Plasma (Ionized gases).
Applied mathematics.
Engineering mathematics.
Fluid mechanics.
Engineering.
Appl.Mathematics/Computational Methods of Engineering.
Plasma Physics.
Engineering Fluid Dynamics.
TA329-348 TA640-643
519