Abstract
A water saturated porous medium freezes when it is chilled. The frost line which separates the frozen part and the unfrozen part is a free surface. Experiments show that a depression pppears on the frost line. Water is thus sucked in through the unfrozen part. It freezes when it reaches the frost line.
The problem is a coupled Stefan problem linking the heat and water equations of diffusion. The energy conservation law couples the equations on the frost line. The equations are solved using a new unkown the freezing index and the methods of variationnal inequalities. A numerical example is given.
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Aguirre-Puente, J., Frémond, M. (1976). Frost propagation in wet porous media. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088749
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DOI: https://doi.org/10.1007/BFb0088749
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