Abstract Design and optimization of microalgae processes have traditionally relied on the
application of unsegregated mathematical models, thus neglecting the impact of cell-to-cell …

Recently, there has been an increase in the use of numerical simulation technology in
pharmaceutical preparation processes. Numerical simulation can contribute to a better …

In this work, the approach presented in a recent publication by Kaur et al.(2019) is improved.
The truncated series solution derived from the existing Homotopy Perturbation method …

The computational cost of the discrete element method (DEM)-population balance model
(PBM) coupled framework is predominantly attributed to DEM simulations. To overcome this …

The exploration of collisional fragmentation pheno-mena remains largely unexplored, yet it
holds considerable importance in numerous engineering and physical processes. Given the …

In this article, we focus on addressing the missing convergence analysis of the homotopy
analysis method (HAM) for solving pure aggregation and pure fragmentation population …

Obtaining a particle size within the specifications for a pharmaceutical compound in an
industrial crystallization can be a challenging task. The events affecting the final particle size …

This study presents the convergence and stability analysis of a recently developed fixed
pivot technique for fragmentation equations (Liao et al. in Int J Numer Methods Fluids 87 (4) …

In the past few decades, the homotopy perturbation method (HPM) has been used
intensively for finding analytical and semi-analytical solutions for linear and nonlinear …

Population balances commonly incorporate physical kernels such as polymerization,
generalized bilinear, and Brownian aggregation kernels, which have found widespread …