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Modeling of drying for a saturated deformable porous media: taking into account the liquid pressure

Abstract : This study deals with drying modelling of a saturated deformable porous media (solid-liquid). This modelling takes into account the nature of the product as well as its initial conditions such as the moisture content and geometry. The objectives are to determine the mechanical stresses appearing within the material during drying, to control the deformation of the product and its moisture content. The originality of the proposed model consists in taking into account the pressure gradient as the real driving force for mass transport with the help of Darcy's law and taking into account the liquid compressibility. The main advantage of this formulation is to avoid the need to an effective transport coefficient often identified by specific experiments, and, in future, of being able to connect the behaviour of a supposed two-phase media to a three-phase media (liquid, solid and gas). Equations describing heat, mass and momentum balances are obtained with the method of volume averaging where the Representative Elementary Volume is considered deformable. The physical description of the strong hydro-mechanical coupling which exists within material is taken into account in the light of Biot's theory of consolidation by adopting Terzaghi's effective stress principle, the variables of coupling are solid deformation velocity and liquid pressure. The numerical resolution of the model is carried out by the finite element method with finite strain and an Euler-Lagrange space transformation. The numerical results are validated for an alumina gel in various drying conditions. A sensitivity study shows the strong influence of a material's permeability and its rheological properties on the drying and deformation behaviour of the material.
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https://pastel.archives-ouvertes.fr/pastel-00002350
Contributor : Ecole Arts Et Métiers Paristech <>
Submitted on : Monday, May 7, 2007 - 8:00:00 AM
Last modification on : Monday, May 7, 2007 - 8:00:00 AM
Long-term archiving on: : Thursday, September 30, 2010 - 8:03:27 PM

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Gustavo Ernesto Caceres Salazar. Modeling of drying for a saturated deformable porous media: taking into account the liquid pressure. Engineering Sciences [physics]. Arts et Métiers ParisTech, 2006. English. ⟨NNT : 2006ENAM0012⟩. ⟨pastel-00002350⟩

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