Estimation of nucleation kinetics from crystal size distribution transients of a continuous crystallizer

Model for secondary nucleation in a suspension crystallizer

“…In addition to showing the fit predicted by the new model proposed in this work, the response predicted by using a power-law correlation for the secondary nucleation rate is also included. The following correlation, resulting from the experiments of other workers for the ammonium sulfate/water system in evaporative mode was used (Daudey et al, 1990;Jager, 1991):…”

“…In the large particle size ranges (Figurc l), a downward curvature is seen, which indicates that, assuming a well-mixed system, there is a reduction in growth rate at these sizes. This reduction in growth rate has been attributed to crystal attrition and has been modeled as a negative growth rate [G,,,,(x)] (Jager et al, 1991). In the small particle-size ranges, an upward curvature is observed in the In[n(x)] vs. x plot.…”

Inverse problems in population balances: Growth and nucleation from dynamic data

“…The deviation at small sizes mimics the behavior postulated by Abegg et al (1968) in explaining observed growth rate deviations at low sizes. Another deviation applies to large particle sizes based on a model for particle attrition by Jager et al (1991).…”

“…Particulate systems involve individual particle phenomena such as aggregation, breakage, nucleation and growth, cou-growth models include diffusion limited growth, spiral dislocation growth, and surface polynucleation (House, 1981;Nielsen, 1984;Taiet et al, 1992). Nucleation models include primary nucleation as the formation of 1-mers, 2-mers under dynamic equilibrium conditions (G6mez-Morales et al, 19961, "embryonic" secondary nucleation, and attrition (Jager et al 1991). Aggregation models include Brownian motion, laminar shear (Smoluchowski, 19171, turbulent diffusion, and turbulent inertia models (Bramley et al, 1996).…”

“…Eek (Eek et al, 1995). There are many applications to experimental systems (Franck et al, 1988;Jager et al, 1991;Matthews et al, 1996). Often many models are considered, optimized for the data, and compared, with the most successful retained (Bramley et al, 1997;.…”