A generalized approach to heterogeneous media
Identifieur interne : 000171 ( France/Analysis ); précédent : 000170; suivant : 000172A generalized approach to heterogeneous media
Auteurs : P. Jouanna [France] ; M.-A. Abellan [France]Source :
- Transport in Porous Media [ 0169-3913 ] ; 1996-12-01.
Abstract
Abstract: This paper is devoted to the description of a generalized approach developed for over-coming the fundamental difficulties that occur when the phenomenological field theory is extended from homogeneous to heterogeneous media. The origin of these difficulties lies in the kinematics of heterogeneous media where different constituents have in general different velocities at the same macroscopic point. The key idea of the generalized approach consists in choosing a reference velocity field v* independent of the movement of the matter. The consequences are examined at different levels. First of all, generalized balance relations lead to a consistent expression of the fundamental law of mechanics and of the first and second principles of thermodynamics in heterogeneous media. Unexpected consequences are linked to the objective nature of the entropy source. Moreover, this generalized approach exhibits a new set of relations between phenomenological and physical variables. Finally, it provides a common, consistent background for different existing theories derived for heterogeneous media.
Url:
DOI: 10.1007/BF00140988
Affiliations:
- France
- Languedoc-Roussillon, Occitanie (région administrative)
- Montpellier
- PRES Sud de France, Université Montpellier 2
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ISTEX:128ACE522D963A7356CED11D9C4987D6C9DBFF28Le document en format XML
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Jouanna</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>DTMC, ISTEEM, URA CNRS 1767, Université Montpellier II</wicri:regionArea><placeName><settlement type="city">Montpellier</settlement><region type="region" nuts="2">Occitanie (région administrative)</region><region type="old region" nuts="2">Languedoc-Roussillon</region></placeName><orgName type="university">Université Montpellier 2</orgName><orgName type="institution" wicri:auto="newGroup">PRES Sud de France</orgName></affiliation></author><author><name sortKey="Abellan, M A" sort="Abellan, M A" uniqKey="Abellan M" first="M.-A." last="Abellan">M.-A. 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The origin of these difficulties lies in the kinematics of heterogeneous media where different constituents have in general different velocities at the same macroscopic point. The key idea of the generalized approach consists in choosing a reference velocity field v* independent of the movement of the matter. The consequences are examined at different levels. First of all, generalized balance relations lead to a consistent expression of the fundamental law of mechanics and of the first and second principles of thermodynamics in heterogeneous media. Unexpected consequences are linked to the objective nature of the entropy source. Moreover, this generalized approach exhibits a new set of relations between phenomenological and physical variables. Finally, it provides a common, consistent background for different existing theories derived for heterogeneous media.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Languedoc-Roussillon</li><li>Occitanie (région administrative)</li></region><settlement><li>Montpellier</li></settlement><orgName><li>PRES Sud de France</li><li>Université Montpellier 2</li></orgName></list><tree><country name="France"><region name="Occitanie (région administrative)"><name sortKey="Jouanna, P" sort="Jouanna, P" uniqKey="Jouanna P" first="P." last="Jouanna">P. Jouanna</name></region><name sortKey="Abellan, M A" sort="Abellan, M A" uniqKey="Abellan M" first="M.-A." last="Abellan">M.-A. Abellan</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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