Numerical Methods for the Solution of Population Balance Equations Coupled with Computational Fluid Dynamics

Autor: Antonio Buffo, Daniele Marchisio, Marco Vanni, Mohsen Shiea
Jazyk: angličtina
Rok vydání: 2020
Předmět:
crystallization
Computer science
General Chemical Engineering
multiphase flow
Population
Population balance equation
02 engineering and technology
computational fluid dynamics
Computational fluid dynamics
01 natural sciences
010305 fluids & plasmas
liquid-liquid systems
020401 chemical engineering
Quadrature based moment methods
0103 physical sciences
Applied mathematics
0204 chemical engineering
education
Physics::Computational Physics
education.field_of_study
Renewable Energy
Sustainability and the Environment
business.industry
Numerical analysis
Multiphase flow
Water
General Chemistry
Quadrature (mathematics)
gas-liquid systems
population balance equation
computational fluid dynamics
multiphase flow
crystallization
gas-liquid systems
liquid-liquid systems
quadrature-based moment methods
population balance equation
quadrature-based moment methods
Hydrodynamics
Nyström method
Gases
business
Monte Carlo Method
Algorithms
Popis: This review article discusses the solution of population balance equations, for the simulation of disperse multiphase systems, tightly coupled with computational fluid dynamics. Although several methods are discussed, the focus is on quadrature-based moment methods (QBMMs) with particular attention to the quadrature method of moments, the conditional quadrature method of moments, and the direct quadrature method of moments. The relationship between the population balance equation, in its generalized form, and the Euler-Euler multiphase flow models, notably the two-fluid model, is thoroughly discussed. Then the closure problem and the use of Gaussian quadratures to overcome it are analyzed. The review concludes with the presentation of numerical issues and guidelines for users of these modeling approaches.
Databáze: OpenAIRE
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