横掠管束周期性充分发展对流换热的混沌分析  

CHAOTIC ANALYSIS OF PERIODICALLY FULLY DEVELOPED FLOW AND HEAT TRANSFER IN CROSS-FLOW TUBE BANKS

作　　者：赵明[1] 杨茉[1] 李娟[1] 

机构地区：[1]上海理工大学动力工程学院,上海200093

出　　处：《工程热物理学报》2004年第2期278-280,共3页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.50276037);上海市教委发展基金资助项目(No.03GK08);上海理工大学青年基金资助(No.X358)

摘　　要：本文利用混沌理论分析了横掠管束周期性充分发展对流换热的非稳定性问题,即通过速度U的时间序列的重构相空间计算出关联维数D2,并通过时间序列分析了该非线性动力系统的功率谱特性。分析结果表明,本文所研究的横掠管束周期性充分发展对流换热系统在所给出的控制参数Re=937.7下出现的非稳定性问题属于混沌现象。系统的整体状态可用奇怪吸引子来描述,当延迟时间选择为5,该时间序列的重构相空间的嵌入维数增至5时,该吸引子的分维数趋于定值1.63。This paper presents an application of the deterministic chaos theory to the stability analysis in the periodically fully developed fluid flow and heat transfer in cross flow tube banks. The correlation dimension and the power spectrum are computed from the reconstructed phase space for a time series of velocity U of the dynamical system, and the result shows that the behavior of this dynamical system lies on a low-dimensional chaotic attractor according to the certain control parameter (Re = 937.7). The delay time used to reconstruct the phase space for any given embedding dimension is 5, and when the increasing embedding dimension is 5, the correlation dimension becomes constant and 1.63 is this constant value.

关 键 词：混沌 关联维数 功率谱 对流换热 非线性动力系统 横掠管束周期性充分发展 

分 类 号：TK124[动力工程及工程热物理—工程热物理] O415.5[动力工程及工程热物理—热能工程]