Title: Analytical solution of population balance equation involving aggregation and breakage in terms of auxiliary equation method
Authors: Pinar, Zehra
Dutta, Abhishek
Bény, Guido
Öziş, Turgut # ×
Issue Date: 2015
Publisher: Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association
Series Title: Pramāṇa vol:84 issue:1 pages:9-21
Abstract: This study presents an effective analytical simulation to solve Population Balance Equation (PBE) involving particulate aggregation and breakage by making use of the appropriate solution(s) of associated complementary equation via auxiliary equation method (AEM).Travelling wave solutions of the complementary equation of a nonlinear PBE with appropriately chosen parameters is taken to be analogous to the description of the dynamic behavior of the particulate processes. For an initial proof-of-concept, a general case when the number of particles varies with respect to time is chosen. Three cases i.e. balanced aggregation and breakage and when either aggregation or breakage can dominate are selected and solved for their corresponding analytical solution. The results are then compared with the available analytical solution, based on Laplace transform obtained from standard literature. In this study, it is shown that the solution approach proposed via AEM is flexible and thereby more efficient than the analytical approach used in the literature.
ISSN: 0304-4289
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Materials Technology TC, Campus Group T Leuven
Technologiecluster Materialentechnologie
× corresponding author
# (joint) last author

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