Population balance modeling in Simulink: PCSS

Ward, Jeffrey D.; Yu, Cheng‐Ching

doi:10.1016/j.compchemeng.2007.11.001

Cited by 19 publications

(4 citation statements)

References 28 publications

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“…Using the mentioned methods to solve PBE, several tools are available in the literature such as codes for proprietary software such as Matlab/Simulink ® (Ward andYu 2008, Majumder et al 2012) as well as in-house software developments of some research groups [LLECMOD and PPBLAB (Attarakih et al 2006, 2008 and ReDrop (Kalem et al 2011] and specialized software such as Parsival ® (Wulkow et al 2001).…”

Section: P P P D D Dmentioning

confidence: 99%

Drop coalescence in technical liquid/liquid applications: a review on experimental techniques and modeling approaches

Kamp

Villwock

Kraume

2016

Reviews in Chemical Engineering

125

106

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AbstractThe coalescence phenomenon of drops in liquid/liquid systems is reviewed with particular focus on its technical relevance and application. Due to the complexity of coalescence, a comprehensive survey of the coalescence process and the numerous influencing factors is given. Subsequently, available experimental techniques with different levels of detail are summarized and compared. These techniques can be divided in simple settling tests for qualitative coalescence behavior investigations and gravity settler design, single-drop coalescence studies at flat interfaces as well as between droplets, and detailed film drainage analysis. To model the coalescence rate in liquid/liquid systems on a technical scale, the generic population balance framework is introduced. Additionally, different coalescence modeling approaches are reviewed with ascending level of detail from empirical correlations to comprehensive film drainage models and detailed computational fluid and particle dynamics.

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Section: P P P D D Dmentioning

confidence: 99%

Drop coalescence in technical liquid/liquid applications: a review on experimental techniques and modeling approaches

Kamp

Villwock

Kraume

2016

Reviews in Chemical Engineering

125

106

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“…For solving the same model for the crystallization experiments with temperature cycling, on the other hand, the space-time CE/SE method was employed to obtain the solution of the PBM. This scheme was originally developed to solve Navier–Stokes and Euler equations, and it has been applied to solve many partial differential equations in fields such as magnetohydrodynamics, heat transfer, , adsorption, , and crystallization. ,,,− Motz et al showed the CE/SE method can provide more accurate and faster solutions for the PBM with fewer grid points than those given by some finite volume methods (FVM). Also, Qamar et al reported that the CE/SE method presents faster estimation and more accurate results than all other presented schemes such as the high resolution semidiscrete FVM and PARticle Size eVALuation (PARSIVAL) .…”

Section: Modelingmentioning

confidence: 99%

Modeling of Nucleation, Growth, and Dissolution of Paracetamol in Ethanol Solution for Unseeded Batch Cooling Crystallization with Temperature-Cycling Strategy

Kim

Kawajiri

Rousseau

et al. 2023

Ind. Eng. Chem. Res.

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Controlling crystal size distributions is critical to ensure the quality of products and operational efficiency for downstream processing. In batch cooling crystallization, temperature cycling strategies are often employed to control the crystal size distribution and minimize fines. Optimizing the complex operation of this strategy, where crystallization and dissolution occur in a single batch run, remains a challenge. For this problem, we develop a model of the process by a population balance considering nucleation, growth, and dissolution of crystals. In a case study of paracetamol in ethanol, the parameters in the population balance model were estimated from multiple experimental runs. The developed model was validated against additional experimental data sets, where the concentration and crystal size distributions of the final crystal products were predicted successfully. R 2 values are greater than 0.96 in all cases.

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“…This scheme was originally developed to solve Navier-Stokes and Euler equations, 38 and it has been applied to solve many partial differential equations in fields such as magnetohydrodynamics, 39 heat transfer, 40,41 adsorption, 42,43 and crystallization. 17,20,30,31,37,44,45 Motz et al 30 showed the CE/SE method can provide more accurate and faster solutions for the PBM than those given by the FVM, with fewer grid points. Also, Qamar et al 31 reported that the CE/SE method presents faster estimation and more accurate results than all other presented schemes such as the high resolution semi-discrete FVM and PARSIVAL.…”

Section: Disappearance Of Crystals In the Pbmmentioning

confidence: 99%

Modeling of Nucleation, Growth, Dissolution, and Disappearance of Paracetamol in Ethanol Solution for Unseeded Batch Cooling Crystallization with Temperature-Cycling Strategy

Kim¹,

Kawajiri²,

Rousseau³

et al. 2020

Preprint

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A population balance model (PBM) is developed for unseeded batch crystallization, with temperature-cycling strategies to control the crystal size distribution. The model is able to predict the evolution of crystal size distributions of crystallizing paracetamol from ethanol solutions considering the characteristics of primary nucleation, secondary nucleation, growth, dissolution, and disappearance of crystals. Process analytical technology (PAT) tools were employed to collect solute concentration data and crystal size distribution data. This model employs a boundary condition to describe the disappearance of crystals in temperature-cycling strategies where the temperature is increased and decreased repeatedly. As a result, the obtained model can describe the evolution of crystal size distribution when repetition of cooling and heating is carried out. Moreover, this model can be applied to investigate phenomena that are challenging to explain with experimental data alone, thereby we can gain insight and optimize the operation of the process.

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Population balance modeling in Simulink: PCSS

Cited by 19 publications

References 28 publications

Drop coalescence in technical liquid/liquid applications: a review on experimental techniques and modeling approaches

Drop coalescence in technical liquid/liquid applications: a review on experimental techniques and modeling approaches

Modeling of Nucleation, Growth, and Dissolution of Paracetamol in Ethanol Solution for Unseeded Batch Cooling Crystallization with Temperature-Cycling Strategy

Modeling of Nucleation, Growth, Dissolution, and Disappearance of Paracetamol in Ethanol Solution for Unseeded Batch Cooling Crystallization with Temperature-Cycling Strategy

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