Challenges and opportunities concerning numerical solutions for population balances: a critical review

M Singh, V Ranade, O Shardt… - Journal of Physics A …, 2022 - iopscience.iop.org
Population balance models are tools for the study of dispersed systems, such as granular
materials, polymers, colloids and aerosols. They are applied with increasing frequency …

Morphological control of cellulose nanocrystals via sulfuric acid hydrolysis based on sustainability considerations: An overview of the governing factors and potential …

SL Leong, SIX Tiong, SP Siva, F Ahamed… - Journal of …, 2022 - Elsevier
Structural morphology of cellulose nanocrystal (CNC) is a major determinant of its
properties. However, the lack of comprehensive understanding on the morphological control …

Compartmental approach for modelling twin-screw granulation using population balances

HY Ismail, S Shirazian, M Singh, D Whitaker… - International journal of …, 2020 - Elsevier
In this study, a compartmental population balance model (CPBM) is developed as a
predictive tool of particle size distribution (PSD) for wet granulation in co-rotating twin-screw …

Analytical approach for solving population balances: a homotopy perturbation method

G Kaur, R Singh, M Singh, J Kumar… - Journal of Physics A …, 2019 - iopscience.iop.org
In the present work, a new approach is proposed for finding the analytical solution of
population balances for aggregation and fragmentation process. This approach is relying on …

Analytical and numerical simulations of depolymerization based on discrete model: A chain‐end scission scenario

J Wang, TT Wang, ZH Luo, YN Zhou - AIChE Journal, 2023 - Wiley Online Library
Depolymerization by chain‐end scission enables ideally full recovery of monomers, which is
considered as a promising route for polymer recycling. Despite attractive experimental …

Finite volume approach for fragmentation equation and its mathematical analysis

M Singh, G Walker - Numerical Algorithms, 2022 - Springer
This work is focused on developing a finite volume scheme for approximating a
fragmentation equation. The mathematical analysis is discussed in detail by examining …

Discrete finite volume approach for multidimensional agglomeration population balance equation on unstructured grid

M Singh, R Singh, S Singh, G Walker, T Matsoukas - Powder Technology, 2020 - Elsevier
In this work, a discrete finite volume scheme (FVS) is developed for approximating a
multidimensional agglomeration population balance equation on an unstructured grid …

[HTML][HTML] A reaction-diffusion framework for hydrolytic degradation of amorphous polymers based on a discrete chain scission model

Z Pan, L Brassart - Acta Biomaterialia, 2023 - Elsevier
Hydrolytic degradation of polymers involves the scission of long chain molecules, leading to
molecular weight reduction and mass loss. The precise degradation response however …

On the use of sectional techniques for the solution of depolymerization population balances: Results on a discrete-continuous mesh

F Ahamed, M Singh, HS Song, P Doshi, CW Ooi… - Advanced Powder …, 2020 - Elsevier
To study the discrete bond-breaking phenomena of depolymerization, the use of a fully
continuous Population Balance Equation (PBE) is inadequate to embody all the inherent …

Mass-based finite volume scheme for aggregation, growth and nucleation population balance equation

M Singh, HY Ismail, T Matsoukas… - … of the Royal …, 2019 - royalsocietypublishing.org
In this paper, a new mass-based numerical method is developed using the notion of
Forestier-Coste & Mancini (Forestier-Coste & Mancini 2012, SIAM J. Sci. Comput. 34, B840 …