Pole Solutions for Flame Front Propagation

  • Oleg┬áKupervasser

About this book


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.


Filtration Combustion Flame Front Propagation Laplacian Growth Pole Solution Radially Propagating Fronts Scaling Laws in Channel Geometries Stability Analysis

Authors and affiliations

  • Oleg┬áKupervasser
    • 1
  1. 1.Transist Video LLCMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-18844-7
  • Online ISBN 978-3-319-18845-4
  • Series Print ISSN 1559-7458
  • Series Online ISSN 1559-7466
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