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Pole solutions for flame front propagation [electronic resource]

  • 作者: Kupervasser, Oleg.
  • 其他作者:
  • 其他題名:
    • Mathematical and analytical techniques with applications to engineering
  • 出版: Cham : Springer International Publishing :Imprint: Springer
  • 叢書名: Mathematical and analytical techniques with applications to engineering
  • 主題: Nonlinear integral equations. , Differential equations, Nonlinear , Combustion--Mathematical models. , Engineering , Appl.Mathematics/Computational Methods of Engineering. , Plasma Physics. , Engineering Fluid Dynamics.
  • ISBN: 9783319188454 (electronic bk.) 、 9783319188447 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: 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.
  • 摘要註: 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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  • 系統號: 005135298 | 機讀編目格式
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