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Erschienen in:
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2015 | OriginalPaper | Buchkapitel

10. Closures for the Bubble Size Distribution and Interfacial Area Concentration

verfasst von : Christophe Morel

Erschienen in: Mathematical Modeling of Disperse Two-Phase Flows

Verlag: Springer International Publishing

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Abstract

This chapter is devoted to the presentation of the closure laws for the interfacial area transport equation and other multi-size bubble models. Considering first the single size case, the different forms of the interfacial area transport equation are recalled and their closure laws are reviewed. These closure laws concern essentially the interfacial area variations due to the coalescence, breakup and phase change phenomena. The gas expansion as well as the nucleation and collapse are also considered. In the second part of the chapter, we present some possible closures for the more difficult case of multi-size bubbly flows. Two approaches are followed: the moment’s method with a presumed size NDF and a class method using a discretization of the NDF. In the moment’s method, two different mathematical expressions are used for the NDF: a log-normal law and a quadratic law.

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Vorheriges Kapitel Interfacial Heat and Mass Transfers
Nächstes Kapitel Turbulence Models
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Metadaten
Titel
Closures for the Bubble Size Distribution and Interfacial Area Concentration
verfasst von
Christophe Morel
Copyright-Jahr
2015
Buch
Mathematical Modeling of Disperse Two-Phase Flows

Print ISBN: 978-3-319-20103-0

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

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-20104-7_10

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