Pole Solutions for Flame Front Propagation, 1st ed. 2015 Mathematical and Analytical Techniques with Applications to Engineering Series

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.

Solves mathematically unsteady flame propagation

Describes new original methods for solving complex non-linear equations and investigating their properties

Addresses open problems existing in the field of flame front propagation

Includes supplementary material: sn.pub/extras