Alessio Fama, Liliana Restuccia
Abstract:
This article presents an application of a theory, previously
formulated in the framework of rational extended irreversible thermodynamics,
to describe the thermal, mechanical and transport
properties of a porous medium filled by a fluid.
Starting from the anisotropic rate equations for the porosity field,
its flux, and for the heat and fluid-concentration fluxes,
the isotropic case is studied when the body has symmetry properties invariant
for all rotations and inversions of the frame axes. Furthermore,
the phenomenological tensors have special symmetry properties coming from the used
theoretic model.
Then, the propagation in one direction of coupled porosity and
fluid-concentration waves is investigated.
The dispersion relation is carried out and the wave propagation velocities as
functions of the wavenumber are calculated and represented in a diagram for a
given numerical set of the several coefficients characterizing
the considered porous media.
The results obtained in this article can be applied in several sciences such as
seismology, medical sciences, geology and nanotechnology, where there is
propagation of high-frequency waves.
Submitted March 29, 2020. Published July 7, 2020.
Math Subject Classifications: 74A15, 80AXX, 80A015.
Key Words: Plane waves; porous media; non-equilibrium thermodynamics.
DOI: 10.58997/ejde.2020.73
Show me the PDF file (316 KB), TEX file for this article.
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Alessio Famà University of Messina Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences Viale F.Stagno d'Alcontres, 31 98166 Messina, Italy email: alefama@unime.it |
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Liliana Restuccia University of Messina Department of Mathematical and Computer Sciences Physical Sciences and Earth Sciences Viale F.Stagno d'Alcontres, 31 98166 Messina, Italy email: lrestuccia@unime.it |
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