Pole Solutions for Flame Front Propagation

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.

List of contents

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.

Summary

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.

Product details

• Authors: Oleg Kupervasser
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2016
• EAN: 9783319368818
• ISBN: 978-3-31-936881-8
• No. of pages: 118
• Dimensions: 156 mm x 236 mm x 9 mm
• Weight: 214 g
• Illustrations: XII, 118 p. 37 illus., 10 illus. in color.
• Series: Mathematical and Analytical Techniques with Applications to Engineering; Mathematical and Analytical Techniques with Applications to Engineering
• Subjects: Natural sciences, medicine, IT, technology > Technology > General, dictionaries; B, Maschinenbau: Strömungsmechanik, engineering, Mathematical and Computational Engineering, Fluid mechanics, Engineering Fluid Dynamics, Mechanics of fluids, Engineering mathematics, Applied mathematics, Mathematical and Computational Engineering Applications, Plasma Physics, Plasma (Ionized gases)