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 …

[HTML][HTML] Development of high-performance hybrid ann-finite volume scheme (ann-fvs) for simulation of pharmaceutical continuous granulation

HY Ismail, M Singh, S Shirazian, AB Albadarin… - … Research and Design, 2020 - Elsevier
A hybrid model was developed for simulation of continuous wet granulation of
pharmaceutical formulations via twin-screw granulator. The model was based on population …

Accurate and efficient approximations for generalized population balances incorporating coagulation and fragmentation

M Singh - Journal of Computational Physics, 2021 - Elsevier
This study focuses on development of two approaches based on finite volume schemes for
solving both one-dimensional and multidimensional nonlinear simultaneous coagulation …

Laplace transform‐based approximation methods for solving pure aggregation and breakage equations

S Kaushik, S Hussain, R Kumar - Mathematical Methods in the …, 2023 - Wiley Online Library
The varied applications of the aggregation and breakage equations in several fields of
science have attracted many researchers to explore accurate novel methods to calculate …

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] 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 …

New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids

M Singh - Studies in Applied Mathematics, 2021 - Wiley Online Library
This present work is based on developing a deterministic discrete formulation for the
approximation of a multidimensional Smoluchowski (Coalescence) equation on a …

Solving the population balance equation for non-inertial particles dynamics using probability density function and neural networks: Application to a sooting flame

A Seltz, P Domingo, L Vervisch - Physics of Fluids, 2021 - pubs.aip.org
Numerical modeling of non-inertial particles dynamics is usually addressed by solving a
population balance equation (PBE). In addition to space and time, a discretization is …