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Heat and mass flow associated with a freezing front
Authors:J. T. Holden   R. H. Jones  S. J. M. Dudek
Affiliation:

a Department of Theoretical Mechanics, University of Nottingham, Nottingham, Great Britain

b Department of Civil Engineering, University of Nottingham, Nottingham, Great Britain

Abstract:A one-dimensional mathematical model for heat and moisture flow in saturated porous materials is given. The model is formulated using capillary theory and depends upon the inter-relationship between pore radius, freezing point depression and the cryogenic suction. The conditions at the frost line include a criterion which determines whether heave and/or penetration of the frost line occurs.

Numerical results are given which were computed using an expanding—contracting finite-difference approximation. These results compare well with temperature and heave measurements made in the laboratory using a precise freezing cell.

Keywords:
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