分形理论在含沙掺气水流脉动压力分析中的应用

简要介绍分维的定义和计算方法，同时运用相空间重构法，对含沙掺气水流脉动压力信号进行处理，并计算浑水、清水、掺气三种不同水流状况的关联维数。结果表明，不同水流状况具有不同的关联维数，含沙掺气水流运动并非完全随机，而是具有内在有序性。计算得出的不同关联维数反映出不同脉动压力信号序列所具有的不同分形特征，说明动力形成机制、系统复杂程度的差异。

Application of Fractal Theory to Analysis of Pressure Fluctuations in Sediment-laden and Aerated Flow

The definition and calculation of fractional dimension are introduced briefly.Fluctuating pressure signals from sediment? laden and aerated flow are processed by the reconstruction of phase space.The correlation dimensions are calculated for sediment laden flow,clear water and aerated flow.The results show that the correlation dimensions vary with the flow conditions,and that sediment laden aerated flows are not completely stochastic,but possess its intrinsic order.The difference in correlation dimension reflects the differences in fractal characteristics of different pressure fluctuation signal sequence,and indicates the differences in dynamical mechanism and degree of complexity of the system.