一柄剑 发表于 2022-5-16 14:57:18

PBM破碎方程与Luo模型破碎方程

在PBM手册里,气泡破碎速率等于破碎频率乘以子气泡分布,得出的结果如下:
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

PBM里破碎频率为Luo模型文献中的气泡破碎速率,以Luo模型内的气泡破碎速率乘以子气泡分布得到的结果如下:
data:image/png;base64,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
两者相差了一个母气泡体积的倒数,请问这是问什么啊

贤惠的火罐 发表于 2022-7-14 11:40:59

可以具体看下pbm手册如何描述的吗
页: [1]
查看完整版本: PBM破碎方程与Luo模型破碎方程