Some Results on the Description of Size Reduction as a Rate Process in Various Mills

Granular Media: Effects of Disorder

“…Heterogeneities within the grains have been considered in the spirit of the statistical approaches of Roux and Herrmann (this volume) by Van den BornJ46] The pressure test would correspond to the impact of a sphere in a ball mill. When a full assembly of spheres is considered in such a process, the evolution of the population of particles with time as a function of their size has received descriptions [47] in the spirit of the recent treatment by Redner (this volume). A more efficient and more recent class of breakers are roll mills.…”

Analytical solutions to fragmentation equations with flow

“…This rate expression applies to such widely diverse areas as aerosol breakup (Peterson, 1985(Peterson, , 1986, depolymerization kinetics, and solids grinding (Austin, 1976). Notation a ( x ) , ak = rate at which a particle size k or x breaks up B = dimensionless particle removal strength (constant)…”

Numerical Simulation of Open-Circuit Continuous Mills Using a Non-Linear Population Balance Framework: Incorporation of Non-First-Order Effects

“…A quantitative interpretation as to how the P(x, z) function represents the x±z interactions is possible within the context of a given F[ ], which will be elaborated upon in Section 3. It is a well-established experimental fact that short-time batch milling of a mono-sized feed is first-order [3,4]. The following constraints are imposed to satisfy this finding:…”