Species enthalpy diffusion in the homogeneous gas mixture

The flow solver allows you to include the enthalpy flux to the low-speed energy equation. This term should be included when species mass fraction gradients are significant as in combustion problems or for a gas mixture with different temperatures at low speed.

You can include the enthalpy flux to the low-speed energy equation for the homogeneous gas mixture using the INCLUDE SPECIES ENTHALPY DIFFUSION TERM advanced parameter. It accounts for the energy changes in the gas mixtures due to species diffusion [38].

The term in the energy equation related to the transport of enthalpy due to the species diffusion is defined as follows:

where:

  • hi is the sensible enthalpy for the species i.
  • Ji is the diffusive mass flux.

For laminar flow, the value of the diffusive mass flux Ji is defined as follows:

where:

  • ρ is the gas mixture density.
  • Di is the molecular diffusion coefficient for species i.
  • ϕi is the mass fraction of species i in the mixture.

For turbulent flow, the value of the diffusive mass flux Ji is defined as follows:

where:

  • μt is the turbulent viscosity.
  • Sct is the turbulent Schmidt number.

The flow solver uses the binary molecular diffusion coefficient Di1 as a value for Di for each solved species i relatively to the primary gas (i = 1). For the primary gas, the flow solver uses the following expression:

where Xi is the molar fraction defined as:

where: