Analytical Solutions for Precipitation Size Distributions at Steady State
Analytical Solutions for Precipitation Size Distributions at Steady State
复制标题
稳态降水尺寸分布的分析解
DOI：
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发表时间：
2019
影响因子：
3.1
通讯作者：
T. Garrett
中科院分区：
文献类型：
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作者：
T. Garrett
解析解推导出的降水和雪粒子的稳态尺寸分布假设通过收集悬浮云粒子的增长。应用刘维方程的沉淀质量通过大小箱在“级联”的传输产生一个特征的伽玛分布与马歇尔-帕尔默指数尾巴相对于颗粒直径。对降雨来说，控制谱分布形状的主要参数是云滴液水路径和云上升速度。较强的上升气流导致较大的沉淀液滴浓度和粒径分布的峰值。这些解决方案提供了一种将空中或地面测量的粒径分布与云体微物理和动力学特性相关联的方法。
Analytical solutions are derived for the steady-state size distributions of precipitating rain and snow particles assuming growth via collection of suspended cloud particles. Application of the Liouville equation to the transfer of precipitating mass through size bins in a “cascade” yields a characteristic gamma distribution with a Marshall–Palmer exponential tail with respect to particle diameter. For rain, the principle parameters controlling size distribution shape are cloud droplet liquid water path and cloud updraft speed. Stronger updrafts lead to greater concentrations of large precipitating drops and a peak in the size distribution. The solutions provide a means for relating size distributions measured in the air or on the ground to cloud bulk microphysical and dynamic properties.