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Evaluation of the Parallel Parent and Daughter Classes Technique (PPDC) for Solving Population Balance Equations by Discretization: Aggregation and Breakage

[+] Author Affiliations
Stefano Bove, Tron Solberg, Bjo̸rn H. Hjertager

Aalborg Universitet Esbjerg, Esbjerg, Denmark

Paper No. HT-FED2004-56726, pp. 815-824; 10 pages
  • ASME 2004 Heat Transfer/Fluids Engineering Summer Conference
  • Volume 3
  • Charlotte, North Carolina, USA, July 11–15, 2004
  • Conference Sponsors: Heat Transfer Division and Fluids Engineering Division
  • ISBN: 0-7918-4692-X | eISBN: 0-7918-3740-8
  • Copyright © 2004 by ASME


An evaluation of the parallel parent and daughter classes (PPDC) algorithm for solving population balance equations (PBEs) by discretization is presented. By using this technique, the discretized form of the PBE, accounting for breakage and agglomeration, can easily be split into aggregation and breakage part. Numerical solutions of the PBE on simultaneous aggregation and breakage processes with different kernels, obtained by using the PPDC technique, show good agreement with solutions obtained by standard method of classes, on a linear grid, and by the quadrature method of moments (QMOM). Numerical investigations have shown the ability of the PPDC technique to predict the moments with high accuracy by using only a few classes (2–4 classes). The PPDC technique is then one of the best candidates for CFD applications involving PBEs as polymerization and de-polymerization processes, aerosol dynamics, bubbly flows etc.

Copyright © 2004 by ASME
Topics: Equations



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