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	A THERMODYNAMIC STUDY OF THE TWO-DIMENSIONAL PRESSURE-DRIVEN CHANNEL FLOW
	Weinan, E. ; Wang, Jianchun
	2016
关键词	Poiseuille flow subcritical transition phase transition statistical mechanics action PLANE POISEUILLE FLOW EXACT COHERENT STRUCTURES PIPE-FLOW SHEAR FLOWS TURBULENCE STATES BIFURCATIONS INSTABILITY TRANSITION
英文摘要	The instability of the two-dimensional Poiseuille flow in a long channel and the subsequent transition using thermodynamic approach. The idea is to view the transition process as an initial value problem with the initial condition being Poiseuille flow plus noise, which is considered as our ensemble. Using the mean energy of the velocity fluctuation and the skin friction coefficient as the macrostate variable, we analyze the transition process triggered by the initial noises with different amplitudes. A first order transition is observed at the critical Reynolds number Re. 5772 in the limit of zero noise. An action function, which relates the mean energy with the noise amplitude, is defined and computed. The action function depends only on the Reynolds number, and represents the cost, for the noise to trigger a transition from the laminar flow. The correlation function of the spatial structure is analyzed.; NNSPC [91130005]; ONR [N00014-13-1-0338]; SCI(E); ARTICLE; weinan@math.princeton.edu; jwang.pku@gmail.com; 8,SI; 4349-4366; 36
语种	英语
出处	SCI
出版者	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438085]
专题	数学科学学院
推荐引用方式 GB/T 7714	Weinan, E.,Wang, Jianchun. A THERMODYNAMIC STUDY OF THE TWO-DIMENSIONAL PRESSURE-DRIVEN CHANNEL FLOW. 2016-01-01.

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