Pole solutions for flame front propagation

Research output: Book/ReportBookpeer-review


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.
Original languageEnglish
Place of PublicationCham
Number of pages124
Edition1st ed. 2015
ISBN (Electronic)3319188453, 9783319188454
StatePublished - 2015

Publication series

NameMathematical and Analytical Techniques with Applications to Engineering
PublisherSpringer International Publishing; Imprint: Springer
ISSN (Electronic)1559-7458

ULI Keywords

  • uli
  • Applied mathematics
  • Engineering mathematics
  • Fluid mechanics
  • Plasma (Ionized gases)
  • מכניקת זרימה
  • Engineering -- Mathematics
  • Engineering analysis
  • Hydromechanics
  • Gaseous discharge
  • Gaseous plasma
  • Magnetoplasma


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