Abstract
A complete series solution is derived for the distribution and deposition of particles which are diffusing and settling in a stationary fluid between two horizontal plane surfaces after being uniformly distributed. Explicit expressions suitable for the entire range of computation are given as functions of two quantities: (a) a dimensionless parameter which is the diffusion coefficient divided by the product of the settling velocity and plane separation and (b) a dimensionless time variable which is the ratio of distance of fall to plane separation. Numerical results show that it is better, as well as simpler, to approximate deposition by the larger of the two separate effects for pure diffusion and for pure settling than by combining them as if they were independent probabilities which is the usual procedure.
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