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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BK - Mechanika tekutin

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Zeitschrift für Angewandte Mathematik und Physik

ISSN

0044-2275

e-ISSN

—

Svazek periodika

2012

Číslo periodika v rámci svazku

63

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

24

Strana od-do

145-169

Kód UT WoS článku

000299505900007

EID výsledku v databázi Scopus

—