Pole Solutions for Flame Front Propagation

ISBN-13: 9783319188447 / Angielski / Twarda / 2015 / 118 str.

Oleg Kupervasser

Opis

This book deals with mathematically solving the unsteady flame propagation. 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 this problem have exact analytical solutions to describe 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 formulate analytically and numerically the flame front propagation equations.

Spis treści

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.

Blurb

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.