Pole Solutions for Flame Front Propagation (eBook)

Oleg Kupervasser (Autor)

eBook Download: PDF

2015 | 2015
XII, 118 Seiten
Springer International Publishing (Verlag)
978-3-319-18845-4 (ISBN)

Infos

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.

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 7.7.2015
• Reihe/Serie: Mathematical and Analytical Techniques with Applications to Engineering
• Reihe/Serie: Mathematical and Analytical Techniques with Applications to Engineering
• Zusatzinfo: XII, 118 p. 37 illus., 10 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik ► Bauwesen
• Schlagworte: Filtration Combustion • Flame Front Propagation • Laplacian Growth • Pole Solution • Radially Propagating Fronts • Scaling Laws in Channel Geometries • Stability Analysis
• ISBN-10: 3-319-18845-3 / 3319188453
• ISBN-13: 978-3-319-18845-4 / 9783319188454