Moist Porous Medium
This node uses the following version of the heat equation to model heat transfer in a porous matrix, possibly consisting of several solids, and filled with moist air and liquid water:
(6-6)
(6-7)
See Theory for Heat Transfer in Moist Porous Media for more details on the variables in Equation 6-6 and Equation 6-7.
The effective volumetric heat capacity at constant pressure is defined as
where sl is the liquid water saturation.
If the porous matrix consists of several solids i of volume fraction θsi, heat capacity Cp,si, and density ρsi, the above equation is modified as follows:
Note that the velocity fields in moist air and liquid water, ug and ul, can be defined either as an analytic expression or as the velocity field from a Fluid Flow interface. They should be interpreted as Darcy velocities, that is, asthe volume flow rate per unit cross sectional area.
Q (SI unit: W/m3) can be any source (or sink) of heat. Add one or more heat sources as separate physics features. See Heat Source node for example. When the Heat and Moisture multiphysics coupling is active, this term includes the diffusive flux of thermal enthalpy and the liquid capillary flux, calculated from the moisture transport equation.
Qevap (SI unit: W/m3) is the source (or sink) of heat due to phase change of water. When the Heat and Moisture multiphysics coupling is active, it calculates this term from the moisture transport equation.
Effective Thermal Conductivity
This section defines the averaging model for the computation of the Effective conductivity keff, taking into account the properties of the solid matrix, moist air, and liquid water. The following options are available:
Volume average (default), which calculates the effective conductivity of the moist porous medium as the weighted arithmetic mean of the conductivities of the porous matrix, moist air, and liquid water:
Reciprocal average, which calculates the effective conductivity of the moist porous medium as the weighted harmonic mean of the conductivities of the porous matrix, moist air, and liquid water:
Power law, which calculates the effective conductivity of the moist porous medium as the weighted geometric mean of the conductivities of the porous matrix, moist air, and liquid water:
If the porous matrix consists of several solids i of volume fraction θsi and thermal conductivity ksi, the above equations are modified as follows:
The velocity field and the moisture content of moist air can be specified in the Moist Air (Moist Porous Medium) subnode.
The liquid water saturation and velocity field can be specified in the Liquid Water (Moist Porous Medium) subnode.
The porosity and material properties of the solid matrix can be specified in the Porous Matrix (Porous Medium, Moist Porous Medium) subnode.
See Porous Material in the COMSOL Multiphysics Reference Manual.
With some COMSOL products, the Thermal Dispersion, Viscous Dissipation, and Geothermal Heating subnodes are available from the context menu (right-click the parent node) or from the Physics toolbar, Attributes menu.
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Physics Tab with Heat Transfer in Moist Porous Media selected: