A poroelastic medium saturated by a two-phase capillary fluid

By Landau’s approach developed for description of superfluidity of 2 He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and whi...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2014-09, Vol.26 (5), p.619-638
Main Author: Shelukhin, V. V.
Format: Article
Language:English
Subjects:
Acoustic properties
Analysis
Capillarity
Classical and Continuum Physics
Computational fluid dynamics
Engineering Thermodynamics
Environmental law
Fluid flow
Fluids
Heat and Mass Transfer
Laws, regulations and rules
Mathematical analysis
Mathematical models
Original Article
Physics
Physics and Astronomy
Structural Materials
Superfluidity
Surface tension
Theoretical and Applied Mechanics
Thermodynamics
Transformations (mathematics)
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Summary:By Landau’s approach developed for description of superfluidity of 2 He, we derive a mathematical model for a poroelastic medium saturated with a two-phase capillary fluid. The model describes a three-velocity continuum with conservation laws which obey the basic principles of thermodynamics and which are consistent with the Galilean transformations. In contrast to Biot’ linear theory, the equations derived allow for finite deformations. As the acoustic analysis reveals, there is one more longitudinal wave in comparison with the poroelastic medium saturated with a one-phase fluid. We prove that such a result is due to surface tension.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-013-0321-x