A Geometrical Model for a Fluid Flow in Porous Structures

Maria Elena Malaspina, Liliana Restuccia


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


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

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DOI: http://dx.doi.org/10.1685/

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