Quadrature method of moments for population-balance equations

Although use of computational fluid dynamics (CFD) for simulating precipitation (and particulate systems in general) is becoming a standard approach, a number of issues still need to be addressed. One major problem is the computational expense of coupling a standard discretized population balance (D...

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Vydáno v:AIChE journal Ročník 49; číslo 5; s. 1266 - 1276
Hlavní autoři: Marchisio, Daniele L., Pikturna, Jesse T., Fox, Rodney O., Vigil, R. Dennis, Barresi, Antonello A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.05.2003
Wiley Subscription Services
American Institute of Chemical Engineers
Témata:
Applications of mathematics to chemical engineering. Modeling. Simulation. Optimization
Applied sciences
Chemical engineering
Exact sciences and technology
ISSN:0001-1541, 1547-5905
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Shrnutí:Although use of computational fluid dynamics (CFD) for simulating precipitation (and particulate systems in general) is becoming a standard approach, a number of issues still need to be addressed. One major problem is the computational expense of coupling a standard discretized population balance (DPB) with a CFD code, as this approach requires the solution of an intractably large number of transport equations. In this work the quadrature method of moments (QMOM) is tested for size‐dependent growth and aggregation. The QMOM is validated by comparison with both Monte Carlo simulations and analytical solutions using several functional forms for the aggregation kernel. Moreover, model predictions are compared with a DPB to compare accuracy, computational time, and the number of scalars involved. Analysis of the relative performance of various methods for treating aggregation provides readers with useful information about the range of application and possible limitations.
Bibliografie:istex:C7DA1642C7C5CB1507ADE3F6BC2A11B76C7B7F93
ArticleID:AIC690490517
ark:/67375/WNG-PGJV6Z89-P
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ObjectType-General Information-1
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ISSN:0001-1541
1547-5905
DOI:10.1002/aic.690490517