基于最大熵原理的泄洪雾化雨滴谱研究  

Calculation of raindrop spectrum of flood discharge atomization based on maximum entropy principle

作　　者：彭燕祥 张华[1] PENG Yanxiang;ZHANG Hua(North China Electric Power University,School of Water Resources and Hydropower Engineering,Beijing 102206,China)

机构地区：[1]华北电力大学水利与水电工程学院,北京102206

出　　处：《中国水利水电科学研究院学报（中英文）》2023年第2期148-156,174,共10页Journal of China Institute of Water Resources and Hydropower Research

基　　金：国家自然科学基金项目(52279065)。

摘　　要：水电站在泄洪期间,会在下游空间形成大量的粒径大小各异的运动水滴,就构成了泄洪雾化液滴粒径的分布问题。目前泄洪雾化液滴粒径分布采用Gamma函数来描述,属于经验函数的方法,缺乏实际的物理意义。本文将最大熵原理应用于水电站泄洪雾化液滴粒径分布研究中,对挑流泄洪产生的液滴粒径分布进行了研究。研究结果表明:(1)Gamma分布计算的雾化液滴滴谱分布结果存在削峰特征,滴谱分布的众值直径(数量概率密度最大对应的直径)偏向于小粒径方向,且计算的峰值比实验值偏低。(2)仅通过质量守恒为约束推导的最大熵MEM分布的计算的滴谱分布的众值直径明显偏向于大粒径方向,且计算的峰值比实验值偏高。(3)本文构建的MEP分布模型计算的结果与Gamma函数和MEM分布计算结果相比较,均方根误差最低,决定系数最高,更加符合实测数据的变化趋势。During flood discharge of hydropower station,a large number of moving water droplets with different particle sizes will be formed in the downstream space,which constitutes the problem of particle size distribution of flood discharge atomized droplets.At present,Gamma function is used to describe the droplet size distribution of flood discharge atomization,which belongs to empirical function method and lacks practical physical significance.In this paper,the principle of maximum entropy is applied to the particle size distribution of the atomized droplets of the flood discharge of hydropower stations,and the particle size distribution of the droplets produced by Jet Overflow is studied.The results show that:(1)The spectral distribution of atomized liquid droplets calculated by Gamma distribution has the feature of cutting off the peak value.The diameter corresponding to the peak value of droplet spectral distribution is biased to the direction of small particle size,and the calculated peak value is lower than the experimental value.(2)The diameter corresponding to the peak value of the droplet spectrum distribution of the calculated maximum entropy MEM distribution derived from the mass conservation constraint is obviously biased to the direction of large particle size,and the calculated peak value is higher than the experimental value.(3)Compared with the results of Gamma function and MEM distribution,the MEP distribution model constructed in this paper has the lowest root mean square error and the highest determination coefficient,which is more consistent with the change trend of measured data.

关 键 词：液滴粒径分布 最大熵原理 GAMMA函数 挑流 泄洪雾化 

分 类 号：TV135.2[水利工程—水力学及河流动力学]