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Derivation of Equations for Continuum Mechanics and Thermodynamics of Fluids Read chapter Read first chapter

2018 | OriginalPaper | Chapter

21. Modeling of Two-Phase Flows With and Without Phase Transitions

Authors : Jan W. Prüss, Senjo Shimizu

Published in: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Publisher: Springer International Publishing

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Abstract

The purpose of this chapter is to explain the modeling of one-component two-phase flows with moving interface in some detail. The models are derived from first principles, and some of the main structural properties are presented. In particular, the models are shown to be thermodynamically consistent, the equilibria are identified, and their thermodynamic stability properties are discussed. In addition, several analytical results in the incompressible case with phase transition are presented, which include topics like the short-time well-posedness, local semiflow, stability of equilibria, long-time existence, and convergence to equilibria.

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previous chapter Equations for Polymeric Materials
next chapter Equations for Viscoelastic Fluids
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Metadata
Title
Modeling of Two-Phase Flows With and Without Phase Transitions
Authors
Jan W. Prüss
Senjo Shimizu
Copyright Year
2018
Book
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids

Print ISBN: 978-3-319-13343-0

Electronic ISBN: 978-3-319-13344-7

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-13344-7_24

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