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Implementation of homotopy perturbation method to solve a population balance model in fluidized bed

Abhishek Dutta UGent, Denis Constales UGent, Roger Van Keer and Geraldine Heynderickx UGent (2013) INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING. 11.
abstract
A particle population balance formulation for a circulating fluidized bed, involving aggregation and breakage of particles, is solved using the homotopy perturbation method (HPM). The homotopy method deforms a difficult problem into a simple problem, which then can be easily solved. The HPM solution is compared with the solution obtained using a standard finite difference method. Using homotopy, a good approximation of the finite difference solution is obtained within a few iteration steps. The results reveal that the homotopy method is an effective and simple tool to solve nonlinear partial integro-differential equations and has a wide scope and applicability to solve complex engineering problems. The reliability of the algorithm is tested using three different feed inlet particle size (diameter) distributions to indicate the robustness of this method.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
PARTICLES, EQUATION, BREAKAGE, COALESCENCE, homotopy perturbation method, finite difference method, population balance, aggregation, breakage
journal title
INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING
volume
11
pages
34 pages
Web of Science type
Article
Web of Science id
000321250500001
JCR category
ENGINEERING, CHEMICAL
JCR impact factor
0.584 (2013)
JCR rank
100/133 (2013)
JCR quartile
3 (2013)
ISSN
2194-5748
DOI
10.1515/ijcre-2012-0047
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
4189727
handle
http://hdl.handle.net/1854/LU-4189727
date created
2013-11-26 11:51:58
date last changed
2017-03-09 12:45:56
@article{4189727,
  abstract     = {A particle population balance formulation for a circulating fluidized bed, involving aggregation and breakage of particles, is solved using the homotopy perturbation method (HPM). The homotopy method deforms a difficult problem into a simple problem, which then can be easily solved. The HPM solution is compared with the solution obtained using a standard finite difference method. Using homotopy, a good approximation of the finite difference solution is obtained within a few iteration steps. The results reveal that the homotopy method is an effective and simple tool to solve nonlinear partial integro-differential equations and has a wide scope and applicability to solve complex engineering problems. The reliability of the algorithm is tested using three different feed inlet particle size (diameter) distributions to indicate the robustness of this method.},
  author       = {Dutta, Abhishek and Constales, Denis and Van Keer, Roger and Heynderickx, Geraldine},
  issn         = {2194-5748},
  journal      = {INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING},
  keyword      = {PARTICLES,EQUATION,BREAKAGE,COALESCENCE,homotopy perturbation method,finite difference method,population balance,aggregation,breakage},
  language     = {eng},
  pages        = {34},
  title        = {Implementation of homotopy perturbation method to solve a population balance model in fluidized bed},
  url          = {http://dx.doi.org/10.1515/ijcre-2012-0047},
  volume       = {11},
  year         = {2013},
}

Chicago
Dutta, Abhishek, Denis Constales, Roger Van Keer, and Geraldine Heynderickx. 2013. “Implementation of Homotopy Perturbation Method to Solve a Population Balance Model in Fluidized Bed.” International Journal of Chemical Reactor Engineering 11.
APA
Dutta, Abhishek, Constales, D., Van Keer, R., & Heynderickx, G. (2013). Implementation of homotopy perturbation method to solve a population balance model in fluidized bed. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING, 11.
Vancouver
1.
Dutta A, Constales D, Van Keer R, Heynderickx G. Implementation of homotopy perturbation method to solve a population balance model in fluidized bed. INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING. 2013;11.
MLA
Dutta, Abhishek, Denis Constales, Roger Van Keer, et al. “Implementation of Homotopy Perturbation Method to Solve a Population Balance Model in Fluidized Bed.” INTERNATIONAL JOURNAL OF CHEMICAL REACTOR ENGINEERING 11 (2013): n. pag. Print.