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Erschienen in:

2015 | OriginalPaper | Buchkapitel

3. Macroscopic Formulation of Two-Phase Flows: The Two-Fluid Model

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 averaging of the equations derived in Chap. 2, thus obtaining the equations at the macroscopic level. Two versions of the two-fluid model are derived. The first one is very general and has been derived by numerous authors a long time ago; we call it the classical two-fluid model. The second version of the two-fluid model is more recent and is devoted to the analysis of disperse flows only. In this model, the balance equations written for the disperse phase reflect the equations written for a single particle, and are slightly different from the equations written for the continuous phase. This dissymmetry between the equations written for the two phases reflects the real dissymmetry between the phase’s geometries (one continuous and one disperse). This second version is called the hybrid two-fluid model. We give a comparative analysis of the closure problem posed by the two models and analyze these closure issues with the help of the second law of thermodynamics.

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Titel: Macroscopic Formulation of Two-Phase Flows: The Two-Fluid Model
verfasst von: Christophe Morel
Verlag: Springer International Publishing
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_3

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