Development of a Two-Parameter Model to Describe Particle Size Distributions

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Particle size distributions present a unique challenge for analysis and presentation and simply reporting the D50 value fails to capture any information that describes the width of the distribution. By fitting the particle size distribution to a statistical model, it is possible to describe a distribution with a two-parameter model, similar to that obtained from a Weibull analysis of mechanical testing data. In fact, as is demonstrated in this thesis, many native particle distributions actually fit a Weibull distribution, but when the distribution is scalped, as is common for industrial powders, the distribution is better described with a log-normal model. Both of these distribution types can be described by a mean and a modulus, and thus a two-parameter model. The two-parameter model can then be plotted on x-y coordinates to allow the tracking of particle size distributions for milling studies or for quality control purposes.
Thesis completed in partial fulfillment of the requirements for the Alfred University Honors Program.
Honors thesis, Ceramic Engineering, Particle Size Distribution, Ceramic Powders