Population balance model and experimental validation for reactive dissolution of particle agglomerates

Abstract

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Recent Progress in Continuous Crystallization of Pharmaceutical Products: Precise Preparation and Control

“…A theoretically based control application was completed by Rohani’s research group, and they successfully obtained metastable crystals with a narrow size distribution. Zhao et al suggested a population balance model that considered the physical constraints to simulate the inseparable shrinkage and breakage of the agglomerated particles during the reactive dissolution by the continuous stirring. The coupled equations were solved by the high-order moment-conserving method of classes.…”

Analytical time-stepping solution of the discretized population balance equation

“…In this work, we propose a method for MC in which the system's evolution in time is not followed by numerical integration of a system of ODEs, but by integrating the time dependent discretized PBE analytically and advancing in time in relatively long discrete intervals. Via a number of practical examples, it will be shown that the present method can be applied to a broad range of problems: five practical tests cases taken from the literature are considered, i.e., the emulsification (Becker et al, 2014), ageing cellulose process (Ahmad et al, 2015), cooling crystallization (Choong and Smith, 2004), reactive dissolution (Zhao et al, 2018), and liquid-liquid extraction . Although these examples are totally distinct from each other, the source terms in PBE have fundamentally different nature: in the four first cases aggregation of particles can be neglected.…”

“…the Gear's method (ode15s stiff solver of Matlab). The batch cooling crystallization (Choong and Smith, 2004) and reactive dissolution (Zhao et al, 2018) presented in table 1, containing the time dependent growth and nucleation processes, are selected as practical cases to assess the performance of the ATS.…”