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Meccanica
Published in: Meccanica 9/2014

01-09-2014 | New Trends in Fluid and Solid Mechanical Models

A phase-field model for quasi-incompressible solid–liquid transitions

Authors: Alessia Berti, Claudio Giorgi

Published in: Meccanica | Issue 9/2014

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Abstract

According to a unified thermodynamic scheme, we derive the general kinetic equation ruling the phase-field evolution in a binary quasi-incompressible mixture for both transition and separation phenomena. When diffusion effects are negligible in comparison with source and production terms, a solid–liquid phase transition induced by temperature and pressure variations is obtained. In particular, we recover the explicit expression of the liquid–pressure curve separating the solid from the liquid stability regions in the pressure–temperature plane. Consistently with physical evidence, its slope is positive (negative) for substances which compress (expand) during the freezing process.
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Metadata
Title
A phase-field model for quasi-incompressible solid–liquid transitions
Authors
Alessia Berti
Claudio Giorgi
Publication date
01-09-2014
Publisher
Springer Netherlands
Published in
Meccanica / Issue 9/2014
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-014-9909-x

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