基于改进0-1 测试的多相宏观混合效果混沌表征

摘要

With the aim of extracting the quantitative feature of multiphase mixing efficiency,a novel method was proposed,the modified 0-1 test that represents the chaotic characterization for Betty numbers time series of multiphase mixing process and optimizes the quantitative coordinate relationship between mixing effect and the evaluate characteristic value.The results show that the new algorithm,which puts the mid-value of the asymptotic growth rate Kc as the chaotic detection criterion,can more accurately present different chaotic degree of different mixing process.The Betty mixing efficiency method indicates that β0 and β1 are correlated,and a strong positive correlation between their mid-value of Kc in theory,which is more in line with the algebraic topology meaning ofβ0 and β1 .Furthermore,the correlation coefficient between the mid-value of Kc and Betty index which represents mixing efficiency is 0.645 and the validity of the method is proved by the hydrodynamic experiment.It is of great significance for expanding and enriching Betty numbers mixing efficient evaluation method.%针对多相搅拌混合效果的量化特征提取提出一种新思路:利用改进型0-1 混沌测试方法表征多相混合过程贝蒂数时间序列的混沌特性,并优化混合效果与评价特征值之间定量协调关系.研究发现,将贝蒂数时间序列的渐进增长率Kc的中值作为混沌检测依据,可更加精确地表征不同混合过程中混沌度的差异性变化.贝蒂数混合效果评价方法表明,零维贝蒂数β0与一维贝蒂数β1之间存在相关性,经验证β0时序的Kc中值和β1时序的Kc中值之间也存在较强的正相关性,理论上更加符合β0和β1的代数拓扑学意义.在此基础上进一步发现基于混沌检测的渐进增长率Kc中值与表征混合效果的贝蒂数指标之间具有相关关系,相关系数为0.645,并且Kc中值表征混合效果的有效性由水动力学实验得到了验证.本研究对于拓展和丰富贝蒂数混合效果评价方法具有重要意义.