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2015 | OriginalPaper | Chapter

5. Population Balances and Moments Transport Equations for Disperse Two-Phase Flows

Author : Christophe Morel

Published in: Mathematical Modeling of Disperse Two-Phase Flows

Publisher: Springer International Publishing

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Abstract

In this chapter, a link is derived between the interfacial area transport equation derived in Chap. 4 and the population balance equation for disperse flows. The particles birth and death phenomena are formalized. These phenomena are mechanical ones (coalescence and breakup) or are due to phase change (nucleation and collapse). Transport equations are derived for the moments of the particle size distribution function. These moments equations being unclosed, we briefly review two quadrature methods of moments to close and solve the set of equations. A completely different method based on the discretization of the bubble size distribution function is also presented in the context of isothermal bubbly flows.

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previous chapter Surface Equations for Two-Phase Flows

next chapter Turbulence Equations for a Continuous Phase

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Title: Population Balances and Moments Transport Equations for Disperse Two-Phase Flows
Author: Christophe Morel
Publisher: Springer International Publishing
Book: Mathematical Modeling of Disperse Two-Phase Flows
Print ISBN: 978-3-319-20103-0

Electronic ISBN: 978-3-319-20104-7

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-3-319-20104-7_5

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