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An Algorithm for Determination of the Size‐Dependent breakage frequency of droplets, flocs and aggregates
Author(s) -
Chang YuChen,
Calabrese Richard V.,
Gentry James W.
Publication year - 1991
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.19910080157
Subject(s) - breakage , kernel (algebra) , biological system , binary number , algorithm , ternary operation , mathematics , materials science , computer science , composite material , combinatorics , arithmetic , biology , programming language
A method, based on the use of discrete size classes, is developed to extract size dependent breakage frequencies from sequential measurements of the size distribution. In order to obtain good resolution and allow for several breakage modes, interlaced Fibonacci series are used to define the size classes. Both binary and ternary breakage are considered. An approach based on Kernel Discriminant Analysis is used to focus the breakage at the discrete size classes. The algorithm is tested using simulated distribution data. The sensitivity of the retrieved breakage frequencies to the assumed progeny distribution and to the number of breakage events between samples is considered. The numerical experiments show that the method is effective even when the breakage mechanism is not well understood.