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Population balance modelling of polydispersed particles in reactive flows

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Title: Population balance modelling of polydispersed particles in reactive flows
Authors: Rigopoulos, S
Item Type: Journal Article
Abstract: Polydispersed particles in reactive flows is a wide subject area encompassing a range of dispersed flows with particles, droplets or bubbles that are created, transported and possibly interact within a reactive flow environment - typical examples include soot formation, aerosols, precipitation and spray combustion. One way to treat such problems is to employ as a starting point the Newtonian equations of motion written in a Lagrangian framework for each individual particle and either solve them directly or derive probabilistic equations for the particle positions (in the case of turbulent flow). Another way is inherently statistical and begins by postulating a distribution of particles over the distributed properties, as well as space and time, the transport equation for this distribution being the core of this approach. This transport equation, usually referred to as population balance equation (PBE) or general dynamic equation (GDE), was initially developed and investigated mainly in the context of spatially homogeneous systems. In the recent years, a growth of research activity has seen this approach being applied to a variety of flow problems such as sooting flames and turbulent precipitation, but significant issues regarding its appropriate coupling with CFD pertain, especially in the case of turbulent flow. The objective of this review is to examine this body of research from a unified perspective, the potential and limits of the PBE approach to flow problems, its links with Lagrangian and multi-fluid approaches and the numerical methods employed for its solution. Particular emphasis is given to turbulent flows, where the extension of the PBE approach is met with challenging issues. Finally, applications including reactive precipitation, soot formation, nanoparticle synthesis, sprays, bubbles and coal burning are being reviewed from the PBE perspective. It is shown that population balance methods have been applied to these fields in varying degrees of detail, and future prospects are discussed.
Issue Date: 1-Aug-2010
Date of Acceptance: 10-Dec-2009
URI: http://hdl.handle.net/10044/1/42571
DOI: http://dx.doi.org/10.1016/j.pecs.2009.12.001
ISSN: 1873-216X
Publisher: Elsevier
Start Page: 412
End Page: 443
Journal / Book Title: Progress in Energy and Combustion Science
Volume: 36
Issue: 4
Copyright Statement: © 2009 Elsevier Ltd. All rights reserved. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Keywords: Science & Technology
Physical Sciences
Technology
Thermodynamics
Energy & Fuels
Engineering, Chemical
Engineering, Mechanical
Engineering
ENERGY & FUELS
ENGINEERING, CHEMICAL
ENGINEERING, MECHANICAL
THERMODYNAMICS
Polydispersed particles
Reactive flows
Population balance
Soot
Spray
MONTE-CARLO-SIMULATION
COMPUTATIONAL FLUID-DYNAMICS
AGGREGATION-BREAKAGE PROCESSES
PROBABILITY DENSITY-FUNCTION
DIRECT QUADRATURE METHOD
SPRAY COMBUSTION THEORY
BUBBLE-COLUMN REACTORS
LADEN TURBULENT FLOWS
LARGE-EDDY SIMULATION
SIZE DISTRIBUTION
Energy
0904 Chemical Engineering
0913 Mechanical Engineering
0915 Interdisciplinary Engineering
Publication Status: Published
Appears in Collections:Mechanical Engineering
Faculty of Engineering