User:Gregorybuchanan/Buchanan Method; Particle Attrition Dynamics and Particle Evolution Dynamics
Data from Particle Size Distributions (PSD) such as fractional percent count, volume and surface area instead of cumulative percent count, volume and surface area, from particle size analyzers, can show more definition between the samples. When looking at a series of fractional percent PSD data whether gathered in distance or time or some other parameter, the data can be looked at from a transposed view instead of a normal PSD , or a the series of data along the individual sizes and plot on a three dimensional graph with time or distance or some other parameter along with the size distribution. Then calculate the linear regression analysis of time or distance or some other parameter with the fractional particle count, volume and surface area, or by using the [SLOPE] function on the previous variables. Particle Attrition Dynamics or Particle Evolution Dynamics can be determined by plotting all the individual slopes or differential rates and observing the calculi of those curves and calculate the rate of change from a beginning PSD to and ending PSD.
This was developed in 1995 by Gregory Buchanan with Roan Industries Inc. expanding on what others have done for many years in the the Portland cement industry by looking at data from samples taken along a cement ball mill for grinding cement and with further significant developments since 2005 with a paper given in 2011. Particle Attrition Dynamics from grinding mills or other comminution methods, can be used on many other things other than cement, such as pharmaceuticals, mineral processing, ceramics, electronics, cosmetics, food, pigments, or anything that has a series of varied PSDs along a distance or time or some other parameter in which the particles get smaller.
Particle Evolution Dynamics can be used the same as Particle Attrition Dynamics but the particles that has a series of varied PSD along a distance or time or some other parameter in which the particles getting or growing larger or the PSD is just varying. This can be used on PSD of organics such as tracking the PSDs of the growth of things like algae, viruses, bio-chemicals, etc. or inorganics such as tracking the PSDs of metallurgy or crystalline growth, or aerosol and vapor PSD variation.