Effects of Mixtures on Liquid and Solid Fragment Size Distributions
Engility Corporation Lorton United States
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Mixing naturally occurs when the tensile strain rates that drive fragmentation vary with time andor space. Understanding such mixtures requires understanding the ingredients, i.e., simple fragmentation driven by steady uniform strain rates in a fixed dimension. Theoretical proofs are given showing that simple fragmentation as well as its inverse, simple coagulation leads to an infinite but discrete set of universal size distributions. This conclusion is a middle ground between previous studies which found one universal, two universals, or an infinite continuum of non-universals. This paper finds that complex multi-stage fragmentation events may often be treated, in aggregate, as virtual simple single-stage fragmentation events.