Hygroscopic Porous Medium
Use this node to model moisture transport in a porous medium filled with two phases in equilibrium: liquid water and moist air. The moisture transport occurs through vapor diffusion and convection in moist air, and convection and capillary flow in the liquid phase.
The variation of the total moisture content is expressed through the sum of the transport of vapor in moist air and liquid water. See Theory for Moisture Transport in Porous Media for details.
The liquid saturation, sl, which describes the amount of liquid water within the pores, is defined from the specification of a moisture storage function , which specifies the total moisture content (left hand side of the equation below) as a function of the relative humidity :
where εp (dimensionless) is the porosity.
When there is no variation of the total pressure and under specific temperature conditions, the Building Material node may be used instead. See Theory for Moisture Transport in Building Materials for details.
Model Input
This section has fields and values that are inputs to expressions that define material properties. If such user-defined property groups are added, the model inputs appear here.
The default Temperature Τ and Absolute pressure pA are User defined. When additional physics interfaces are added to the model, the temperature and absolute pressure variables defined by these physics interfaces can also be selected from the list. For example, if a Heat Transfer in Building Materials interface is added, you can select Temperature (ht) from the list. If a Laminar Flow interface is added, you can select Absolute pressure (spf) from the list.
If the node was added automatically after selecting the Heat and Moisture Transport predefined multiphysics interface, the temperature of the Heat and Moisture multiphysics node is used by default and the input field is not editable. To edit the Temperature field, click Make All Model Inputs Editable ().
Porous Matrix Properties
The material properties of the porous material should be defined in this section.
The Porosity, εp (a dimensionless number between 0 and 1), uses by default the value From material. For User defined the default is 0.
Set the Permeability, κ (SI unit: m2), to specify the capacity of the porous material to transmit flow. For User defined select Isotropic to define a scalar value or Diagonal, Symmetric, or Full to define a tensor value and enter another value or expression in the field or matrix.
Finally, the Moisture storage function should be set to characterize the relationship between the amount of accumulated water and the relative humidity in the material. The default Moisture storage function is taken From material. For User defined, enter another value or expression.
Moist Air Properties
This section contains settings for the definition of convective and diffusive vapor transport in the moist air phase.
First, set the Diffusion Coefficient, D (SI unit: m2/s), for the binary diffusion of vapor in air in a free medium. The default value 2.6e-5 m²/s is valid at T=298 K and pA=1 atm. You may set a temperature or pressure-dependent diffusion coefficient through the use of the variables mt.T and mt.pA.
Then, specify the Effective diffusivity model used to account for the porosity and the tortuosity of the porous medium in the diffusion coefficient, Deff (SI unit: m2/s). The available options are Millington and Quirk model (the default), Bruggeman model, Tortuosity model, and No correction.
For the Tortuosity model option, enter a value for the Tortuosity factor, τ (dimensionless). The default is 1.
Finally, set the Velocity field, ug, that should be interpreted as the Darcy velocity, that is, the volume flow rate per unit cross sectional area. For User defined enter values or expressions for the components based on space dimensions. Or select an existing velocity field in the component (for example, Velocity field (br) from a Brinkman Equations interface).
Liquid Water Properties
This section contains settings for the definition of convective and capillary transport of liquid water.
First, set the Relative liquid water permeability, κrl (dimensionless), that multiplies the porous medium permeability in the Darcy’s Law to account for the presence of the liquid phase.
The convective flux of liquid water is always computed with Darcy’s Law, whereas two options are available for the capillary flux:
When Capillary model is set to Kelvin’s law (default), a Darcy’s Law based on the capillary pressure is used, and the capillary pressure itself is expressed from the relative humidity by using Kelvin’s law, using the assumption that the liquid and gas phases are in equilibrium in the porous medium.
When Capillary model is set to Diffusion model, the capillary flux is expressed from the gradient of the moisture content, and the Moisture diffusivity Dw, should be specified. For User defined, set a value to characterize the liquid transport in function of the moisture content.
Location in User Interface
Context Menus
Ribbon
Physics Tab with interface as Moisture Transport in Air, Moisture Transport in Building Materials, or Moisture Transport in Porous Media selected: