Analytical Solution of Population Balance Equation Involving Growth, Nucleation and Aggregation in Terms of Auxiliary Equation Method

Authors

Zehra Pınar, Department of Mathematics, Faculty of Arts and Science, Namık Kemal University, 59030 Merkez-Tekirda˘g, Turkey.Follow
Abhishek Dutta, Faculteit Industri¨ele Ingenieurswetenschappen, KU Leuven, Campus Groep T Leuven, Andreas Vesaliusstraat 13, B-3000 Leuven, Belgium.\\ Departement Materiaalkunde, KU Leuven, Kasteelpark Arenberg 44 bus 2450, B-3001 Heverlee-Leuven, Belgium.Follow
Guido Bény, Faculteit Industri¨ele Ingenieurswetenschappen, KU Leuven, Campus Groep T Leuven, Andreas Vesaliusstraat 13, B-3000 Leuven, Belgium.Follow
Turgut ?zis, Department of Mathematics, Faculty of Science, Ege University, 35100 Bornova-˙Izmir, Turkey.Follow

Author Country (or Countries)

Turkey.

Abstract

The Auxiliary Equation Method (AEM) has been modified to obtain the solutions of a Population Balance Equation (PBE) involving particulate growth, nucleation and aggregation phenomena. In all the cases examined, the volume density distributions are accurately predicted by the travelling wave solutions of the complementary equation of the nonlinear partial integro-differential equation with distinctly chosen parameters. Being a flexible technique and a direct comparison for the existing analytical solutions, this study proves the potential of the proposed methodology.

Recommended Citation

Pınar, Zehra; Dutta, Abhishek; Bény, Guido; and ?zis, Turgut (2023) "Analytical Solution of Population Balance Equation Involving Growth, Nucleation and Aggregation in Terms of Auxiliary Equation Method," Applied Mathematics & Information Sciences: Vol. 09: Iss. 5, Article 30.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss5/30