Thermodynamics for Fluid Flow in Porous Structures
Abstract
In a previous paper in the framework of the extended irreversible
thermodynamics with internal variables a non conventional
thermodynamical model for fluid flow through porous solids was given
introducing in the state space a second order structural permeability tensor à la Kubik
(describing a network of thin porous channels in an elastic body filled by fluid flow)
and its flux as internal variables. Here, using a geometrization technique for the thermodynamics
of simple continua we derive the entropy function and, exploiting the Clausius-Duhem inequality by
Maugin technique, we obtain the laws of state and the heat
equation.
[DOI: 10.1685/CSC06105] About DOI
thermodynamics with internal variables a non conventional
thermodynamical model for fluid flow through porous solids was given
introducing in the state space a second order structural permeability tensor à la Kubik
(describing a network of thin porous channels in an elastic body filled by fluid flow)
and its flux as internal variables. Here, using a geometrization technique for the thermodynamics
of simple continua we derive the entropy function and, exploiting the Clausius-Duhem inequality by
Maugin technique, we obtain the laws of state and the heat
equation.
[DOI: 10.1685/CSC06105] About DOI
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PDFDOI: https://doi.org/10.1685/
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