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

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Language: English

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Pole Solutions for Flame Front Propagation
Publication date:
Support: Print on demand

52.74 €

In Print (Delivery period: 15 days).

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Pole Solutions for Flame Front Propagation
Publication date:
118 p. · 15.5x23.5 cm · Hardback

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.

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.

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