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 …

Advances in numerical simulation of unit operations for tablet preparation

Z Li, WH Peng, WJ Liu, LY Yang, A Naeem… - International Journal of …, 2023 - Elsevier
Recently, there has been an increase in the use of numerical simulation technology in
pharmaceutical preparation processes. Numerical simulation can contribute to a better …

Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework

T De, A Das, M Singh, J Kumar - Computer Methods in Applied Mechanics …, 2023 - Elsevier
The computational cost of the discrete element method (DEM)-population balance model
(PBM) coupled framework is predominantly attributed to DEM simulations. To overcome this …

[HTML][HTML] Modified variational iteration method and its convergence analysis for solving nonlinear aggregation population balance equation

S Yadav, M Singh, S Singh, S Heinrich, J Kumar - Computers & Fluids, 2024 - Elsevier
This study proposes a novel approach based on the variational iteration method to solve the
nonlinear aggregation population balance equation. The approach provides great flexibility …

Improved higher-order finite volume scheme and its convergence analysis for collisional breakage equation

A Das, P Kushwah, J Saha, M Singh - Applied Numerical Mathematics, 2024 - Elsevier
A new volume and number consistent finite volume scheme for the numerical solution of a
collisional nonlinear breakage problem is introduced. The number consistency is achieved …

Biomineral flocculation of kaolinite and microalgae: Laboratory experiments and stochastic modeling

Y Zhu, M Lin, X Shen, M Fettweis… - Journal of …, 2022 - Wiley Online Library
In estuaries and coastal waters, the flocculation of cohesive sediments is significantly
affected by extracellular polymeric substances secreted by microalgae. In this study …

Investigating chemical heterogeneity in inclusion populations: A multivariate population balance model study in gas-stirred ladles

A Das, JS Kroll-Rabotin, T Quatravaux… - Industrial & …, 2023 - ACS Publications
Achieving high mechanical performance in metallic materials requires precise control of the
inclusion population, and the treatment of liquid steel in gas-stirred ladles is crucial for …

[HTML][HTML] Discrete finite volume formulation for multidimensional fragmentation equation and its convergence analysis

M Singh, T Matsoukas, V Ranade, G Walker - Journal of Computational …, 2022 - Elsevier
The present work is focused on developing a finite volume scheme for a multidimensional
fragmentation equation. The finite volume scheme is established using the concept of …

New discrete formulation for reduced population balance equation: an illustration to crystallization

M Singh, G Walker - Pharmaceutical Research, 2022 - Springer
In this paper, we focus on providing a discrete formulation for a reduced aggregation
population balance equation. The new formulation is simpler, easier to code, and adaptable …

Rate of convergence of two moments consistent finite volume scheme for non-classical divergence coagulation equation

M Singh - Applied Numerical Mathematics, 2023 - Elsevier
This study focuses on performing a convergence analysis of the recently developed mass
based finite volume scheme [20] to simulate a Smoluchowski coagulation equation. The …