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Johnson's S B Distribution Function as Applied in the Mathematical Representation of Particle Size Distributions. Part 2: Application of numerical results
Author(s) -
Yu AiBing
Publication year - 1994
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.19940110503
Subject(s) - transformation (genetics) , distribution (mathematics) , distribution function , particle (ecology) , function (biology) , particle size distribution , representation (politics) , particle size , computer simulation , statistical physics , mathematics , physics , mathematical analysis , thermodynamics , chemistry , statistics , evolutionary biology , biology , politics , political science , law , biochemistry , oceanography , gene , geology
Abstract The validity of the numerical results obtained in Part 1 is examined via some typical examples. The results indicate that the numerical results can be applied to the particle size distribution transformation within the practically tolerated error. On this basis an equation was derived to calculate analytically the mean diameters of a powder. The verification and application of this equation are demonstrated by a typical example. It is shown that the Hatch‐Choate relationship used in the transformation of particle size distributions expressed by the log‐normal distribution is only a special (extreme) case of the present numerical results. Although the numerical simulation cannot always provide a consistent transformation, this approach can greatly facilitate the application of the S B distribution function in powder technology by simplifying the transformation between particle size distributions and the calculation of mean diameters.