Analytical Solutions for Composition-Dependent Coagulation
Analytical Solutions for Composition-Dependent Coagulation
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DOI：
10.1155/2016/1735897
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发表时间：
2016-05
影响因子：
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通讯作者：
Manli Yang;Zhiming Lu;Jie Shen
中科院分区：
文献类型：
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作者：
Manli Yang;Zhiming Lu;Jie Shen
对任意初始粒径分布，采用拉普拉斯变换，导出了具有与组分相关的加性核的双组分Smoluchowski方程的精确解。然后，使用指数初始分布的精确解来分析参数对这样的双组分混合物的混合度的影响以及给定质量的颗粒的第一组分的条件分布。主要的发现是，在较大的时间大颗粒的条件分布是一个高斯函数，这是独立的参数。
Exact solutions of the bicomponent Smoluchowski’s equation with a composition-dependent additive kernel are derived by using the Laplace transform for any initial particle size distribution. The exact solution for an exponential initial distribution is then used to analyse the effects of parameter on mixing degree of such bicomponent mixtures and the conditional distribution of the first component for particles with given mass. The main finding is that the conditional distribution of large particles at larger time is a Gaussian function which is independent of the parameter .