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Comparison of the Accuracy and Performance of Different Numbers of Classes in Discretised Solution Method for Population Balance Model
Joint Authors
Li, Zhenliang
Zhou, Zhien
Zhang, Sheng
Jiang, Hongqiang
Source
International Journal of Chemical Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-22
Country of Publication
Egypt
No. of Pages
6
Abstract EN
One way of solving population balance model (PBM) in a time efficient way is by means of discretisation of the population property of interest.
A computational grid, for example, v i + 1 = k v i ( v i is the volume of particle in class i ), could be used to classify the particles in discretisation techniques.
However, there are still disagreements in the appropriate number of classes divided by the grids.
In this study, the different numbers of classes for solving PBM were compared in terms of accuracy and performance to describe the particle size distribution (PSD) from the flocculation of activated sludge.
It is found that the simulated PSDs are similar to the experimental data for all the geometric grids ( v i + 1 : v i ≤ 2 ) , and there is no obvious difference among the values of calibrated parameter, ratio of breakage rate coefficient and collision efficiency, for each velocity gradient.
However, the simulation results with less error could be obtained with larger number of classes, and more computational times, which show exponential relationship with the number of classes, are needed.
Considering numerical accuracy and efficiency, the classes 35 or a geometric grid with factor 1.6, aligning with the Fibonacci sequence ( v i + v i - 1 ≈ v i + 1 ) , is recommended for the particles in the size range of 5.5~1086 μm.
American Psychological Association (APA)
Li, Zhenliang& Zhou, Zhien& Zhang, Sheng& Jiang, Hongqiang. 2016. Comparison of the Accuracy and Performance of Different Numbers of Classes in Discretised Solution Method for Population Balance Model. International Journal of Chemical Engineering،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1105564
Modern Language Association (MLA)
Li, Zhenliang…[et al.]. Comparison of the Accuracy and Performance of Different Numbers of Classes in Discretised Solution Method for Population Balance Model. International Journal of Chemical Engineering No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1105564
American Medical Association (AMA)
Li, Zhenliang& Zhou, Zhien& Zhang, Sheng& Jiang, Hongqiang. Comparison of the Accuracy and Performance of Different Numbers of Classes in Discretised Solution Method for Population Balance Model. International Journal of Chemical Engineering. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1105564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1105564