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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 (UGent) and Geraldine Heynderickx (UGent)
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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.
Keywords
PARTICLES, EQUATION, BREAKAGE, COALESCENCE, homotopy perturbation method, finite difference method, population balance, aggregation, breakage

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Please use this url to cite or link to this publication:

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.
@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},
}

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