Minimum description of the onset of pipe turbulence

作     者：Brosa, U Grossmann, S 

作者机构：Univ Marburg D-35032 Marburg Germany 

出 版 物：《EUROPEAN PHYSICAL JOURNAL B》 (Eur Phys J B)

年 卷 期：1999年第9卷第2期

页      面：343-354页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

主　　题：Transition to turbulence Instability of shear flows Computational methods in fluid dynamics 

摘      要：To demonstrate essentials of the mechanism for the onset of turbulence in a pipe at Re = 2000, 48 degrees of freedom are enough. The derivation from the Navier-Stokes equation uses a novel type of modes which guarantee linear stability. For the reduction of the nonlinear interactions, the modes are grouped in 3 blocks. Facilitated by these simplifications the interdependence between linear and nonlinear processes is analysed, however, just for a special example. A phenomenon resembling backflow is identified.