中文摘要：

在积云云的混合 entrainment 过程的 Parameterization 是批评的在模型改进云 parameterization，但是仍然在它的幼年期。为这个目的，我们最近开发了明确的表达代表定义为同类的一项 microphysical 措施以定义为转变规模数字的一项动态措施混合度，并且从层积云云与大小表明了明确的表达。这里，我们由从观察积云云检验数据扩大以前的工作并且发现在同类的混合度和转变之间的积极关联放大数字。这些结果类似于在层积云云的那些，但是在观察积云云第一次证明有效。实验关系能在二时刻的 microphysical 计划习惯于 parameterize 混合 entrainment 过程。进一步检验了是有明确的混合包裹的度和转变规模数字建模的在同类的混合之间的关系上的第二等的混合事件的效果。第二等的混合事件被发现是至少为部分负责更大没有考虑第二等，基于数字模拟在以前的结果比那基于观察在上述积极关联散布混合事件。

英文摘要：

Parameterization of entrainment-mixing pro- cesses in cumulus clouds is critical to improve cloud parameterization in models, but is still at its infancy. For this purpose, we have lately developed a formulation to represent a microphysical measure defined as homoge- neous mixing degree in terms of a dynamical measure defined as transition scale numbers, and demonstrated the formulation with measurements from stratocumulus clouds. Here, we extend the previous work by examining data from observed cumulus clouds and find positive cor- relations between the homogeneous mixing degree and transition scale numbers. These results are similar to those in the stratocumulus clouds, but proved valid for the first time in observed cumulus clouds. The empiricalrelationships can be used to parameterize entrainment- mixing processes in two-moment microphysical schemes. Further examined are the effects of secondary mixing events on the relationships between homogeneous mixing degree and transition scale numbers with the explicit mixing parcel model. The secondary mixing events are found to be at least partially responsible for the larger scatter in the above positive correlations based on obser- vations than that in the previous results based on numerical simulations without considering secondary mixing events.