| Summary: | One-dimensional, steady-state heat and mass transfer with phase change are studied, for a
two-phase zone in a water-saturated porous medium. A model problem for the saturation and
fluid pressures is formulated, and an explicit temperature dependence for the saturation vapour
pressure, together with an explicit saturation dependence for the capillary pressure allows us
to solve the model problem for temperature and saturation profiles within the two-phase zone.
A boundary layer analysis identifies existing models as approximations to the full model in
the large vapour-pressure gradient limit. This approximation yields an uncoupled problem for
saturation and temperature, and asymptotic analysis shows that a singularity is introduced if
we accept the approximate model over the full model. An iterative method is described which
allows both the full and outer models of the two-phase zone to be coupled to the two single-phase
zones, and computations are performed with realistic control parameters for the entire
three-zone system. Numerical solutions for both the two-phase zone and the three-zone system
show excellent agreement between the full and outer formulations. === Science, Faculty of === Mathematics, Department of === Graduate
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