Pole Solutions for Flame Front Propagation

Pole Solutions for Flame Front Propagation

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Description

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.
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Product details

  • Paperback | 118 pages
  • 155 x 235 x 7.11mm | 2,058g
  • Cham, Switzerland
  • English
  • Softcover reprint of the original 1st ed. 2015
  • 10 Illustrations, color; 27 Illustrations, black and white; XII, 118 p. 37 illus., 10 illus. in color.
  • 3319368818
  • 9783319368818

Back cover copy

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.
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Table 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.
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