TY  - BOOK
AU  - Kupervasser,Oleg
ED  - SpringerLink (Online service)
TI  - Pole Solutions for Flame Front Propagation
T2  - Mathematical and Analytical Techniques with Applications to Engineering,
SN  - 9783319188454
AV  - TA329-348 
U1  - 519 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - engineering
KW  - Plasma (Ionized gases)
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Fluid mechanics
KW  - Engineering
KW  - Appl.Mathematics/Computational Methods of Engineering
KW  - Plasma Physics
KW  - Engineering Fluid Dynamics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-18845-4
ER  -