On the approximate solution and modeling of the kernel of nonlinear breakage population balance equation

A Das, J Kumar, M Dosta, S Heinrich - SIAM journal on scientific computing, 2020 - SIAM
The study of collision-induced nonlinear breakage phenomenon is mostly unexplored but is
important in the area of particulate processes. In this work, the volume and time dependent …

Population balance equation for collisional breakage: a new numerical solution scheme and its convergence

P Kushwah, A Das, J Saha, A Bück - Communications in Nonlinear Science …, 2023 - Elsevier
A new numerical method for the solution of population balance equation modeling nonlinear
collisional breakage is presented. The new scheme is obtained by modifying the birth term …

Development and convergence analysis of a finite volume scheme for solving breakage equation

J Kumar, J Saha, E Tsotsas - SIAM Journal on Numerical Analysis, 2015 - SIAM
In this paper, we develop a new discretization method based on a finite volume approach for
solving the breakage population balance equation. The scheme is designed to conserve the …

Development of a mass conserving discretization technique for breakage problems and its convergence analysis

J Saha, J Kumar - International Journal of Advances in Engineering …, 2015 - Springer
In this work an efficient and accurate numerical scheme based on the finite volume method
has been introduced to approximate the pure breakage population balance equations. The …

Selection function in breakage processes: PBM and Monte Carlo modeling

A Das, A Bück, J Kumar - Advanced Powder Technology, 2020 - Elsevier
Breakage, ie, formation of smaller fragments from larger initial particles, is an important
phenomenon–wanted or unwanted–in many particulate processes. In this work, the volume …

A study of the nonlinear breakage equation: analytical and asymptotic solutions

M Kostoglou, AJ Karabelas - Journal of Physics A: Mathematical …, 2000 - iopscience.iop.org
New solutions of the nonlinear (collisional) breakage equation are given using analytical
and asymptotic methods. The dynamic nonlinear breakage equation is transformed to a …

Moments preserving finite volume approximations for the non‐linear collisional fragmentation model

J Paul, A Das, J Kumar - Applied Mathematics and Computation, 2023 - Elsevier
We present the development of approximate numerical schemes to solve the non-linear
fragmentation model. Two numerical weighted finite volume techniques are presented …

Reconstruction-based Monte Carlo method for accurate and efficient breakage simulation

Y Chen, J Ding, X Xia, P Weng - Powder Technology, 2022 - Elsevier
Monte Carlo (MC) methods have been proven effective in population balance modeling; yet,
in dealing with particle breakage problems, their performances in terms of statistical noise …

A unified Monte Carlo approach for population balance simulation of particle coagulation and breakage

Y Chen, J Ding, X Xia, P Weng, F Qi - Chemical Engineering Science, 2023 - Elsevier
This paper proposes a unified Monte Carlo approach to model simultaneous particle
coagulation and breakage processes. Based on the reconstruction of stochastic weighted …

Theoretical analysis of the steady state particle size distribution in limited breakage processes

M Kostoglou, AJ Karabelas - Journal of Physics A: Mathematical …, 1998 - iopscience.iop.org
The steady state particle size distribution is examined, resulting from a breakage process
with a maximum stable size and a homogeneous continuous kernel. The dynamic breakage …