Using discrete distributions to analyze CSD data from MSMPR crystallizers

Solution of population balance equations using the direct quadrature method of moments

“…Dispersion occurs in a number of practical cases, for example for particulate systems, it arises when particles grow at different rates, as reported by Jones (2002), resulting in "diffusion" in phase space. This case can be investigated by setting the right-hand side of Eq.…”

Estimation of crystallization kinetics for an organic fine chemical using a modified continuous cooling mixed suspension mixed product removal (MSMPR) crystallizer

“…Mydlarz and Jones [13] proposed an exponential model, which has been successful in modelling SDG rates as a function of an effective SDG rate and crystal size and also applies to systems that obey the McCabe law. Recently, GRD in MSMPR vessels has been modelled with intrinsic GRD mechanisms using discrete probability distributions [14].…”

Comparison of micromixing models for CFD simulation of nanoparticle formation

“…In this work, k d is fixed to be 10 −7 (m/s)(m 3 /mol). Other expressions for the nucleation and growth kinetics of barium sulfate can be found in Aoun et al (1996, 1999), Wei and Garside (1997), Schwarzer and Peukert (2002), and Jones (2002). For example, more complex expressions are required to predict accurately the effect of nonstoichiometric conditions on the reactive precipitation process, and activity coefficients should be introduced for high feed concentrations (Baldyga and Orciuch, 2001).…”