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On a Darcy–Stefan Problem arising in freezing and thawing of saturated porous media (1999)

Rodrigues, José Francisco ; Urbano, José Miguel

Springer

Continuum mechanics and thermodynamics 11 (1999), S. 181-191

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ISSN: 1432-0959

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: A model with phase change for material convection in a saturated porous medium with a frozen region is formulated as a Darcy-Stefan problem. We propose a new generalized formulation for this Stefan-type problem with convection governed by Darcy's law. This approach, which is valid for irregular geometries with irregular subregions, has the advantage of not requiring the smoothness of the temperature, that restricted previous mathematical works to two-dimensional particular cases. We show existence of generalized solutions, passing to the limit in suitable approximated problems, which in principle can be solved numerically by the finite element method.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s001610050110

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