Kupervasser, Oleg. <br/><br/>
Pole Solutions for Flame Front Propagation  [electronic resource] / 
by Oleg Kupervasser. 
 - XII, 118 p. 37 illus., 10 illus. in color.  online resource. 
 - Mathematical and Analytical Techniques with Applications to Engineering,  1559-7458 .
 - Mathematical and Analytical Techniques with Applications to Engineering, .
<br/><br/>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. 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783319188454 
<br/><br/><label>Standard No.: </label>10.1007/978-3-319-18845-4  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Engineering.<br/>Plasma (Ionized gases).<br/>Applied mathematics.<br/>Engineering mathematics.<br/>Fluid mechanics.<br/>Engineering.<br/>Appl.Mathematics/Computational Methods of Engineering.<br/>Plasma Physics.<br/>Engineering Fluid Dynamics.
<br/><br/><label>LC Class. No.: </label>TA329-348 TA640-643 
<br/><br/><label>Dewey Class. No.: </label>519