Derivation of aerosol collision rates for singular attractive contact potentials
Derivation of aerosol collision rates for singular attractive contact potentials
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DOI：
10.1063/1.440126
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发表时间：
1980-12
影响因子：
4.4
通讯作者：
W. Marlow
中科院分区：
文献类型：
--
作者：
W. Marlow
本文给出了球形气溶胶粒子在自由分子状态下通过吸引势相互作用的碰撞率的严格推导，该吸引势在粒子接触时发散。Lifshitz-van der Waals势和电像势是这种粒子相互作用的两个例子，在气溶胶动力学中起着重要作用。在推导这种扩展的自由分子碰撞速率时所采用的方法然后被用于通过Fuchs方法推导过渡态碰撞速率的表达式。这是第一次粒子相互作用势对碰撞率的影响已被纳入富克斯公式。使用此处导出的扩展自由分子公式的计算结果与已发表的数据及其解释中使用的计算结果进行了比较。通过使用与这些解释性计算中相同的相互作用势，校正的自由分子公式被证明可以改善数据拟合。
A rigorous derivation is given of the collision rate for spherical aerosol particles in the free‐molecular regime interacting via an attractive potential which diverges at particle contact. The Lifshitz–van der Waals and electrical image potentials are two examples of such particle interactions that play important roles in aerosol dynamics. The method employed in the derivation of this extended free‐molecular collision rate is then used to derive an expression for transition regime collision rates by means of Fuchs’ method. This is the first time that the influence of a particle interaction potential upon the collision rate has been incorporated into the Fuchs formula. Results of computations employing the extended free‐molecular formula derived here are compared with published data and the computations used in their interpretation. By utilizing the same interaction potentials as in those interpretative computations, the corrected free‐molecular formula is shown to improve the data fits.