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 …
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 …
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 …
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 …
New solutions of the nonlinear (collisional) breakage equation are given using analytical and asymptotic methods. The dynamic nonlinear breakage equation is transformed to a …
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 …
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 …
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 …
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 …