A Geometrical Model for a Fluid Flow in Porous Structures

Auteurs

  • Maria Elena Malaspina University of Messina
  • Liliana Restuccia University of Messina

DOI :

https://doi.org/10.1685/

Mots-clés :

Non-equilibrium thermodynamics, internal variables, simple material models, complex materials.

Résumé

In a previous paper a geometric model for thermodynamics of porous media filled by a fluid flow was constructed, using a nonconventional model based on the extended irreversible thermodynamics with internal variables. The dynamical system for a simple material element of these defective solids, the expression of the entropy function and the relevant entropy 1-form were obtained. In this contribution we derive the linear morphism defined on the fibre bundle of the process, the transformation induced by the process and, applying the closure conditions for the entropy 1-form, we give the necessary conditions for the existence of the entropy function. The derivation of the entropy 1-form is the starting point to introduce and investigate an extended thermodynamical phase space. Furthermore, considering the necessary conditions for the existence of the entropy function the constitutive laws can be obtained. [DOI: 10.1685/CSC09328] About DOI

Biographie de l'auteur

  • Liliana Restuccia, University of Messina
    Full Professor of Mathematical Physics, University of Messina, Dept. of Mathematics, Contrada Papardo, Salita Sperone, 31, Sant' Agata, 98166 Messina

Téléchargements

Publiée

2009-08-12

Numéro

Vol. 3 (2009)

Rubrique

Articles

Licence

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).