DOI:
https://doi.org/10.69717/jaest.v3.i2.69Keywords:
Breakage equation, Growth equation, Aggregation equation, Homotopy perturbation method, Variational iteration methodAbstract
The population balance equation has numerous applications in physical and engineering sciences, where one of the phases is discrete in nature. Such applications include crystallization, bubble column reactors, bioreactors, microbial cell populations, aerosols, powders, polymers and more. This contribution presents a comprehensive investigation of the semi- analytical solutions of the population balance equation (PBE) for continuous flow particulate processes. The general PBE was analytically solved using homotopy perturbation method (HPM) and variational iteration method (VIM) for particulate processes where breakage, growth, aggregation, and simultaneous breakage and aggregation take place. These semi-analytical methods overcome the crucial difficulties of numerical discretization and stability that often characterize previous solutions of the PBEs. It was found that the series solutions converged exactly to available analytical steady-state solutions of the PBE using these two methods.
Downloads
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Similar Articles
- Hamza Guenfoud, Hassina Ziou, Mohamed Himeur, Mohamed Guenfoud, Analyses of a composite functionally graded material beam with a new transverse shear deformation function , Journal of Applied Engineering Science & Technology: Vol. 2 No. 2 (2016): JAEST
- Miloud Zellouf, Noureddine Moummi, Adnane Labed, Kamel Aoues, Multiple solutions for flow mode−transition in an inclined cavity generated by natural convection , Journal of Applied Engineering Science & Technology: Vol. 2 No. 2 (2016): JAEST
- Pierre Delage, Geotechnical problems due to the collapse of unsaturated soils: the case of loess from northern France , Journal of Applied Engineering Science & Technology: Vol. 1 No. 1 (2014): JAEST
You may also start an advanced similarity search for this article.