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氧相变换热器内压力波动的混沌特性分析
引用本文:刘丹阳,王亚伟,王仙,何昆,张兴娟,杨春信. 氧相变换热器内压力波动的混沌特性分析[J]. 物理学报, 2012, 61(15): 150506-150506
作者姓名:刘丹阳  王亚伟  王仙  何昆  张兴娟  杨春信
作者单位:1. 北京航空航天大学航空科学与工程学院,北京,100191
2. 北京航天动力研究所,北京,100076
摘    要:采用非线性分析方法对氧相变换热器的入、出口压力脉动时间序列进行分析, 提取关联维数、Kolomogrov熵, 并对重构10维相空间矩阵的协方差矩阵进行最大奇异值分解. 验证了该热力学系统是具有混沌特征的非线性系统. 针对物质在临界点附近的特性, 考察了各混沌特性参数和普朗特数的关联性, 结果表明: 压力脉动信号蕴含了与系统相关的大量物理信息; 各混沌特性参数与普朗特数这一物性参数之间存在明显关联性; 说明各参数反映物质本身的物理本质, 可以作为考察物质相变物理特性的重要参数.

关 键 词:混沌  压力波动  相变  两相流
收稿时间:2011-12-26

Chaotic property analysis of pressure fluctuation for oxygen phase change heat exchanger
Liu Dan-Yang,Wang Ya-Wei,Wang Xian,He Kun,Zhang Xing-Juan,Yang Chun-Xin. Chaotic property analysis of pressure fluctuation for oxygen phase change heat exchanger[J]. Acta Physica Sinica, 2012, 61(15): 150506-150506
Authors:Liu Dan-Yang  Wang Ya-Wei  Wang Xian  He Kun  Zhang Xing-Juan  Yang Chun-Xin
Affiliation:1. Department of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;2. Beijing Aerospace Propulsion Institute, Beijing 100076, China
Abstract:Pressure fluctuation signals at the inlet/outlet of an oxygen phase-change heat exchanger are analyzed using non-linear method. Chaotic characteristic parameters such as correlation dimension, Kolomogrov entropy and the largest singular value decomposition (SVD) for the covariance matrix of an established 10-dimensional phase space are analyzed. Results prove that the heat exchanger is a non-linear system with chaotic characteristics. Correlations between these parameters and Prantl Number are also examined for the thermal behavior of oxygen in the critical region. The strong dependence of these characteristic parameters on Pr indicates that they can be used to investigate effectively the phase change behavior of pure substance.
Keywords:chaos  pressure fluctuation  phase transition  two-phase flow
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