25.4.1. Computing Volume Integrals

25.4.1.1. Volume

The volume of a fluid phase in a cell zone is computed by summing the product of the phase volume fraction and cell volume for the cells that make up the zone:

(25–32)


Note:  For single-phase flow, or for the mixture phase in a multiphase flow, and the volume of the cell zone is recovered.


25.4.1.2. Sum

The sum of a specified field variable in a cell zone is computed by summing the value of the selected variable at each cell in the selected zone:

(25–33)

25.4.1.3. Sum*2Pi

The sum*2pi of a specified field variable in a cell zone of a 2D axisymmetric model is computed by summing the value of the selected variable at each cell in the selected zone and multiplying it by 2π:

(25–34)

25.4.1.4. Volume Integral

A volume integral is computed by summing the product of the cell volume and the selected field variable:

(25–35)

25.4.1.5. Volume-Weighted Average

The volume-weighted average of a quantity is computed by dividing the summation of the product of the selected field variable and cell volume by the total volume of the cell zone:

(25–36)

25.4.1.6. Mass-Weighted Integral

The mass-weighted integral is computed by summing the product of density, cell volume, and the selected field variable:

(25–37)


Note:  For multiphase cases, the density, , used in Equation 25–37 is the mixture density.


25.4.1.7. Mass

The mass of a particular phase is computed by summing the product of phase density, cell volume, and phase volume fraction:

(25–38)

25.4.1.8. Mass-Weighted Average

The mass-weighted average of a quantity is computed by dividing the summation of the product of density, cell volume, and the selected field variable by the summation of the product of density and cell volume:

(25–39)


Note:  For multiphase cases, the density, , used in Equation 25–39 is the mixture density.