[HTML][HTML] A comparative study of the fixed pivot technique and finite volume schemes for multi-dimensional breakage population balances

SL Leong, M Singh, F Ahamed, S Heinrich… - Advanced powder …, 2023 - Elsevier
When modeling particle breakage, the use of a single dimension to characterize particulate
systems becomes intractable when multiple dimensions (eg, size and shape) are important …

[HTML][HTML] Data-driven machine learning approach based on physics-informed neural network for population balance model

I Ali - Advances in Continuous and Discrete …, 2025 -  …
Population balance models (PBM) are a fundamental tool in the field of process engineering
and materials science for understanding and forecasting particulate system dynamics …

Performance analysis and accuracy of numerical methods for solving simultaneous nonlinear particulate processes with multi-dimensional extension

P Kushwah, J Saha - Proceedings A, 2024 - royalsocietypublishing.org
The simultaneous population balance equation (PBE) incorporating diverse particulate
process aggregation, breakage, growth, nucleation and source is a long-standing and …