Alessio Fama, Liliana Restuccia
Abstract:
In this article, we study a problem on propagation of coupled porosity,
fluid concentration flux, and temperature waves.
We use a model formulated in previous papers for porous media saturated
by a fluid flow, in the framework of non-equilibrium thermodynamics.
We derive three modes of propagation in the one-dimensional and
perfect isotropic case, and then we test the validity of the model.
The waves propagation velocities are represented in diagrams as functions of
the wave number. The derived results have applications in technological sectors
such as seismology, medical sciences, geology and nanotechnology.
Submitted February 18, 2021. Published October 20, 2021.
Math Subject Classifications: 74A15, 80A015.
Key Words: Porous media; non-equilibrium thermodynamics; plane waves.
DOI: https://doi.org/10.58997/ejde.2021.88
Show me the PDF file (308 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 Salita Sperone 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 Salita Sperone 31, 98166 Messina, Italy email: lrestuccia@unime.it |
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