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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >R/S method for unevenly sampled time series: Application to detecting long-term temporal dependence of droplets transiting through a fixed spatial point in gas-liquid two-phase turbulent jets
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R/S method for unevenly sampled time series: Application to detecting long-term temporal dependence of droplets transiting through a fixed spatial point in gas-liquid two-phase turbulent jets

机译：R / S方法用于不均匀采样的时间序列：在检测气液两相湍流射流中通过固定空间点的液滴的长期时间依赖性中的应用

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摘要

We perform rescaled range analysis upon the signals measured by a Dual Particle Dynamical Analyzer in gas-liquid two-phase turbulent jets. A novel rescaled range analysis is proposed to investigate these unevenly sampled signals. The Hurst exponents of velocity and other passive scalars in the bulk of spray are obtained to be 0.59 - 0.02 and the fractal dimension is hence 1.41 - 0.02, which is in remarkable agreement with and much more precise than previous results. These scaling exponents are found to be independent of the configuration and dimensions of the nozzle and the fluid flows. Therefore, such type of systems form a universality class with invariant scaling properties.
机译：我们对由双颗粒动力学分析仪在气液两相湍流射流中测量的信号进行重新定标范围分析。提出了一种新颖的比例缩放范围分析来研究这些不均匀采样的信号。喷雾主体中速度和其他被动标量的赫斯特指数为0.59-0.02，因此分形维数为1.41-0.02，这与以前的结果非常吻合，并且更加精确。发现这些缩放指数与喷嘴的构造和尺寸以及流体流量无关。因此，这种类型的系统形成具有不变缩放特性的通用性类。

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