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Pole Solutions for Flame Front Propagation: Mathematical and Analytical Techniques with Applications to Engineering

Autor Oleg Kupervasser
en Limba Engleză Paperback – 15 oct 2016
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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Specificații

ISBN-13: 9783319368818
ISBN-10: 3319368818
Pagini: 128
Ilustrații: XII, 118 p. 37 illus., 10 illus. in color.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.19 kg
Ediția:Softcover reprint of the original 1st ed. 2015
Editura: Springer International Publishing
Colecția Springer
Seria Mathematical and Analytical Techniques with Applications to Engineering

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

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