Analysis of four Monte Carlo methods for the solution of population balances in dispersed systems

H Zhao, A Maisels, T Matsoukas, C Zheng - Powder Technology, 2007 - Elsevier
… for the quadratic kernel are shown in Fig. 5. Qualitatively, the behavior of all kernels is the …
We have further used the quadratic kernel as a test case for the relative performance of the …

Considerations on the crystallization modeling: Population balance solution

CBB Costa, MRW Maciel, R Maciel Filho - Computers & chemical …, 2007 - Elsevier
… paper presents the original population balance framework, the … The population balance
approach is first introduced, with … of aggregation kernel becomes considerably more complex. …

Parameter Estimation for Breakage and Coalescence Kernels in a Population Balance Framework

SB Øyen - 2018 - ntnuopen.ntnu.no
… In this work, a zero-dimensional model in the population balance framework has been
developed for an oil-in-water emulsion in a batch continuously stirred tank reactor in order to …

A three-dimensional population balance model of granulation with a mechanistic representation of the nucleation and aggregation phenomena

JMH Poon, CD Immanuel, FJ Doyle Iii… - Chemical Engineering …, 2008 - Elsevier
population balance, incorporating these mechanistic kernels … phenomena and a simple
empirical kernel for the consolidation … population balance model is described and the kernels for …

Population balance models for pharmaceutical processes

A Chaudhury, M Sen, D Barrasso… - … Oral Drug Development …, 2016 - Springer
balance equation for fluid) since these systems are discrete in nature and can be described
using the population balance … these kernels are empirical, a mechanistic breakage kernel for …

A feasible solution technique for higher-dimensional population balance models

MA Pinto, CD Immanuel, FJ Doyle III - Computers & chemical engineering, 2007 - Elsevier
… Therefore, in the discretised population balance model, the breakage kernel for a particular
finite element is given by Eq. (26):(26) Γ ( v 1 , i , v 2 , j , v 3 , k , t ) = 0.1 v 3 , k v 1 , i + v 2 , j + …

Model driven design for twin screw granulation using mechanistic-based population balance model

LG Wang, JP Morrissey, D Barrasso, D Slade… - International Journal of …, 2021 - Elsevier
… The breakage kernel is both defined by distinction of breakage mechanism, ie chipping in
conveying element and fragmentation in kneading element. In fact, the breakage kernel used …

Population balance modelling for fertilizer granulation process

L Vesjolaja, B Glemmestad, B Lie - 2018 - openarchive.usn.no
… of view, it is desirable to develop a dynamic model that can … drum granulator is developed
using population balance (PB)… when a sizedependent agglomeration kernel is used in the …

Population balance modelling to describe the particle aggregation process: A review

RI Jeldres, PD Fawell, BJ Florio - Powder technology, 2018 - Elsevier
… There is considerable potential for predictions from population balance models describing
particle aggregation to help optimise full-scale processes. The vast majority of studies in this …

Population balance model-based hybrid neural network for a pharmaceutical milling process

P Kumar Akkisetty, U Lee, GV Reklaitis… - Journal of …, 2010 - Springer
… a population balance model with a linear breakage kernel. … This hybrid model is a combination
of a population balance model … a population balance model with a linear breakage kernel. …