### 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.

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