A statistical theory for the distribution of energy dissipation in intermittent turbulence
A statistical theory for the distribution of energy dissipation in intermittent turbulence
复制标题
间歇性湍流中能量耗散分布的统计理论
DOI：
10.1063/1.857412
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
M. L. Joshi
中科院分区：
文献类型：
--
作者：
L. Andrews;R. Phillips;B. Shivamoggi;J. K. Beck;M. L. Joshi
针对局部平均耗散率er，提出了一种涉及伽马分布的新统计理论。 er 的伽马分布导致速度结构函数的高阶矩的结果位于对数正态模型和 β 模型预测的结果之间，并且紧密遵循多重分形模型的结果。将伽玛分布预测的结果与之前发表的实验数据进行比较，显示出极好的一致性。基于 er 的伽马分布，一维 K 分布被开发为能量耗散 e 分布的合理模型。还讨论了速度波动的一些实验室测量以及改进的喷气机的某些导出量。通过将测量的流向速度分量的平方时间导数的累积概率分布与该新模型的预测结果进行比较，发现了很好的一致性。
A new statistical theory involving the gamma distribution is presented for the local average rate of dissipation er. The gamma distribution for er leads to results for the high‐order moments of the velocity structure function that lie between those predicted by the lognormal model and β model and closely follow those of the multifractal model. Comparisons of results predicted by the gamma distribution are made with previously published experimental data, showing excellent agreement. Based on the gamma distribution for er, the one‐dimensional K distribution is developed as a plausible model for the distribution of energy dissipation e. Some laboratory measurements of velocity fluctuations and certain derived quantities from a modified airjet are also discussed. A good agreement is found by making comparisons of the measured cumulative probability distribution of the squared time derivative of the streamwise velocity component with that predicted by this new model.