Wassiljewa-Mason-Saxena Method for Low-pressure Gas Mixture Thermal Conductivity

The ThermalConductivityWMS mixture gas thermal conductivity model can be imported from idaes.models.properties.modular_properties.transport_properties.

Formulation

This description of the Wassiljewa-Mason-Saxena method to calculate gas mixture thermal conductivity is derived from that in The Properties of Gases and Liquids, Section 10-6. Thermal conductivity is given by the formula

\[k_m = \sum_{i=1}^n \frac{y_i k_i}{\sum_{j=1}^n y_j \phi_{ij}}\]

in which \(k_m\) is the mixture thermal conductivity, \(k_i\) is the pure component thermal conductivity of component \(i\), \(y_i\) is the gas mole fraction of component \(i\), and \(\phi_{ij}\) is a mixing function shared with the Wilke method for calculating mixture viscosity.

List of Parameters

Parameter Name	Description	Units
therm_cond_phase_comp	Pure component thermal conductivity \(k_i\)	Power / Length / Time
viscosity_phi_ij_callback	Callback to use for \(\phi_{ij}\)	n/a

Example

The code snippet below demonstrates how to specify use of the ThermalConductivityWMS model for pure component vapor viscosity as part of the modular property framework.

from idaes.models.properties.modular_properties.pure import Eucken
from idaes.models.properties.modular_properties.transport_properties import ThermalConductivityWMS
from idaes.models.properties.modular_properties.transport_properties.viscosity_wilke import wilke_phi_ij_callback

configuration = {
  "components":{
    "H2O": {
      "type": Component,
      "valid_phase_types": [PhaseType.vaporPhase],
      ...
      "therm_cond_phase_comp": {"Vap": Eucken}
      ...
    }
    "H2": {
      "type": Component,
      "valid_phase_types": [PhaseType.vaporPhase],
      ...
      "therm_cond_phase_comp": {"Vap": Eucken}
      ...
    }
  }
  "phases":{
    "Vap": {
      "type": VaporPhase,
      ...
      "therm_cond_phase": ThermalConductivityWMS,
      "transport_property_options": {
        "viscosity_phi_ij_callback": wilke_phi_ij_callback,
      }
    },
    ...
  }
  ...
}

References

Poling, Bruce, E. et al. The Properties of Gases and Liquids. 5th ed. New York: NcGraw-Hill, 2001.