Cloud Droplet Coalescence: Statistical Foundations and a One-Dimensional Sedimentation Model1
Cloud Droplet Coalescence: Statistical Foundations and a One-Dimensional Sedimentation Model1
复制标题
云滴聚结：统计基础和一维沉降模型1
DOI：
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发表时间：
1967
期刊：
影响因子：
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通讯作者：
M. Warshaw
中科院分区：
文献类型：
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作者：
M. Warshaw
摘要推导了聚结方程，强调了模型的统计性质和为确保其有效性所必需的可疑假设。它的结论是，该方程可能是足够的真实的云，但不适用于小体积合并实验室。然后将该方程扩展到包括沉降项，并给出了半径为50 μ的液滴聚结的结果。大量较大的液滴在较短的时间内产生，比其他作者报道的要短。还给出了500米云内和云下水滴随高度的分布。大约350秒后，云底正下方的大水滴似乎比云内的大水滴要多。以下是对这一结果合理性的论证。最后，给出了一些早期的结果和使用50 μ以上的“连续收集”模型的警告声明。
Abstract A derivation of the coalescence equation is given, stressing the statistical nature of the model and the questionable assumptions that are necessary to ensure its validity. It is concluded that the equation is probably adequate for real clouds, but inadequate when applied to small-volume coalescence experiments in the laboratory. The equation is then extended to include a sedimentation term and results are presented for droplet coalescence up to a radius of 50 μ. Significant numbers of larger droplets are produced in shorter times than those reported by other writers. The distribution of droplets as a function of altitude both within and below a 500-m cloud is also given. After approximately 350 sec there appear to be more large droplets directly below the cloud base than within the cloud proper. An argument for the reasonableness of this result follows. Lastly, some early results and cautionary statements about the use of “continuous collection” models above 50 μ are given.