Pole Solutions for Flame Front Propagation
Başlık:
Pole Solutions for Flame Front Propagation
Yazar:
Kupervasser, Oleg. author.
ISBN:
9783319188454
Yazar:
Fiziksel Niteleme:
X, 118 p. 37 illus., 10 illus. in color. online resource.
Seri:
Mathematical and Analytical Techniques with Applications to Engineering,
İçindekiler:
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.
Özet:
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.
Ek Kurum Yazar:
Elektronik Erişim:
http://dx.doi.org/10.1007/978-3-319-18845-4