长江科学院院报 ›› 2019, Vol. 36 ›› Issue (12): 65-70.DOI: 10.11988/ckyyb.20180389

• 水力学 • 上一篇    下一篇

基于混沌理论的明渠湍流速度特征

夏伟, 陈和春, 王继保, 刘超凡, 陈艳超, 陈仕桐   

  1. 三峡大学 水利与环境学院,湖北 宜昌 443002
  • 收稿日期:2018-04-18 出版日期:2019-12-01 发布日期:2019-12-20
  • 通讯作者: 王继保(1976-),男,湖北宜昌人,副教授,博士,主要从事河流动力学、水力学研究及教学工作。E-mail:wjbtina@ctgu.edu.cn
  • 作者简介:夏 伟(1993-),男,湖北荆州人,硕士研究生,主要研究方向为河流动力学、水力学。E-mail:772335594@qq.com

Characteristics of Turbulent Velocity in Open Channel Based on Chaos Theory

XIA Wei, CHEN He-chun, WANG Ji-bao, LIU Chao-fan, CHEN Yan-chao, CHEN Shi-tong   

  1. College of Water Conservancy and Environment, Three Gorges University, Yichang 443002, China
  • Received:2018-04-18 Online:2019-12-01 Published:2019-12-20

摘要: 为了揭示湍流运动的混沌特征规律,选择明渠水槽试验,采用ADV测量沿程衰减的湍流速度场,结合混沌理论,对湍流速度时间序列进行相空间重构,计算对应的混沌特征参数(延迟时间、关联维度、Lyapunov指数、Kolmogrov熵),探究明渠湍流速度混沌特征。分析结果表明:明渠湍流具有混沌特征;安装湍流控制板后,沿水深向上方向和水流方向,湍流的混沌特性不断减弱;进一步通过与湍流统计平均参数比较表明,混沌特征参数的强弱能够反映出湍流涡结构在空间耗散和消亡的变化规律。

关键词: 明渠湍流, 混沌理论, 相空间重构, 延迟时间, 关联维度, Lyapunov指数, Kolmogrov熵

Abstract: Open channel flume experiment was performed in an attempt to reveal the chaotic characteristics of turbulent flow. The turbulent flow velocity field attenuating along the flow direction was measured using Acoustic Doppler Velocimetry (ADV). In the light of the chaos theory, phase space reconstruction of the turbulent velocity time series was performed to calculate the corresponding chaotic characteristic parameters (including time delay, correlation dimension, Lyapunov exponent, and Kolmogrov entropy). Results demonstrated that the turbulence in open channel is of chaotic characteristics. After installing the turbulence control board, the chaotic characteristics of turbulence are continuously weakened along the upward direction of water depth and the water flow direction. The aforementioned chaotic characteristic parameters were further compared with the statistical average parameters, and results proved that the chaotic characteristic parameters reflect the law of the dissipation and perish of turbulent vortex structures in space.

Key words: turbulent flow in open channel, chaos theory, phase space reconstruction, time delay, correlation dimension, Lyapunov exponent, Kolmogrov entropy

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