5.3.2. Homogeneous Hydrodynamic Equations

5.3.2.1. Momentum Equations

The homogeneous model for momentum transport assumes:

(5–28)

and is given by Equation 5–23 and the momentum equation:

(5–29)

where:

(5–30)

The following points should be noted:

  • The interphase transfer terms have all canceled out.

  • This is essentially a single phase transport equation, with variable density and viscosity.

5.3.2.2. Continuity Equations

The homogeneous continuity equation is the same as for full multiphase, Equation 5–23, except that is not phase specific.

5.3.2.3. Volume Conservation Equations

The homogeneous volume conservation equation is the same as for full multiphase, Equation 5–24, except that is not phase specific.

5.3.2.4. Pressure Constraint

The pressure constraint given above for full multiphase flow is also used for homogeneous multiphase flow.