Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

This chapter provides the mathematical models for different particulate processes and a
short overview of numerical techniques relating to this work. In particular, we consider …

This work is concerned with the modeling and simulation of population balance equations
(PBEs) for combined particulate processes. In this study a PBE with simultaneous …

This paper presents a finite volume scheme (FVS) for solving general breakage population
balance equations (BPBEs). In particular, the number density based BPBE is transformed to …

The population balance is a necessary vehicle for modeling processes that involve size
reduction due to fragmentation (grinding) of solid particles. The online control and …

In this work we study the convergence of the fixed pivot techniques (Kumar and Ramkrishna
Chem. Eng. Sci. 51, 1311–1332, 1996) for breakage problems. In particular, the …

In this paper, we introduce the convergence analysis of the fixed pivot technique given by S.
Kumar and Ramkrishna (1996)[28] for the nonlinear aggregation population balance …

The method of moments is an alternative to the direct discretization approaches for the
numerical solution of fragmentation equation. Due to its rather small computational …

In this work, we introduce a weighted finite volume scheme for multiple fragmentation
problems and report a convergence criterion of the scheme. It is observed that the finite …

It is well known that the fragmentation equation admits self-similar solutions for evolving
particle-size distributions (PSD); ie, if the shape of PSD is independent of time after an initial …