On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10126187" target="_blank" >RIV/00216208:11320/12:10126187 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00033-011-0139-y" target="_blank" >http://dx.doi.org/10.1007/s00033-011-0139-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00033-011-0139-y" target="_blank" >10.1007/s00033-011-0139-y</a>

Result language
angličtina
Original language name
On the development and generalizations of Cahn-Hilliard equations within a thermodynamic framework
Original language description
We provide a thermodynamic basis for the development of models that are usually referred to as "phase-field models" for compressible, incompressible, and quasi-incompressible fluids. Using the theory of mixtures as a starting point, we develop a framework within which we can derive "phase-field models" both for mixtures of two constituents and for mixtures of arbitrarily many fluids. In order to obtain the constitutive equations, we appeal to the requirement that among all admissible constitutive relations that which is appropriate maximizes the rate of entropy production (see Rajagopal and Srinivasa in Proc R Soc Lond A 460:631-651, 2004). The procedure has the advantage that the theory is based on prescribing the constitutive equations for only two scalars: the entropy and the entropy production. Unlike the assumption made in the case of the Navier-Stokes-Fourier fluids, we suppose that the entropy is not only a function of the internal energy and the density but also of gradients of
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BK - Liquid mechanics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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