Abstract
Ice formation in porous media results from coupled heat and mass transport and is accompanied by ice expansion. The volume increase in space and time corresponds to the moving freezing front inside the porous solid. In this contribution, a macroscopic model based on the Theory of Porous Media (TPM) is presented toward the description of freezing and thawing processes in saturated porous media. Therefore, a quadruple model consisting of the constituents solid, ice, liquid and gas is used. Attention is paid to the description of capillary suction, liquid- and gas pressure on the surrounding surfaces, volume deformations due to ice formation, temperature distribution as well as influence of heat of fusion under thermal loading. For detection of energetic effects regarding the control of phase transition of water and ice, a physically motivated evolution equation for the mass exchange based on the local divergence of the heat flux is used. Numerical examples are presented to the applications of the model.
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Bluhm, J., Ricken, T., Bloßfeld, M. (2011). Ice Formation in Porous Media. In: Markert, B. (eds) Advances in Extended and Multifield Theories for Continua. Lecture Notes in Applied and Computational Mechanics, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22738-7_8
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DOI: https://doi.org/10.1007/978-3-642-22738-7_8
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