Validating the S-Gamma Model

Compare the S-Gamma model results with experimental data.

The following section compares the plots of the Sauter mean diameter of the dispersed phase and the Interfacial Area Density to experimental data.

Create a field function that calculates the Interfacial Area Density. The Interfacial Area Density is defined by multiplying the Second Size Distribution of Air field function by π.

To validate the S-Gamma model:

  1. Under the Automation > Field Functions node, create a scalar field function and rename it to Interfacial Area Density.


  2. Select the Interfacial Area Density node and do the following:
    1. Click the area next to the Dimensions property. In the dialog that appears, set the Length to -1.


    2. Click OK.
    3. Set the Function Name to Interfacial Area Density.
    4. Set the Definition to $SecondSizeDistributionMomentAir*3.14
      NoteOne dollar symbol ($) is used when referencing a scalar field function.

    The completed Properties window is shown below.



Import the experimental data into Simcenter STAR-CCM+.

  1. Import the interfacialAreaDensity.csv and meanAirDiameter.csv files under the Tools > Tables node.

    These files can be found in the multiphaseFlow folder of the downloaded tutorial files.



The plots can now be created. The plot of the Interfacial Area Density is created first.

  1. Create a XY Plot and rename it to Interfacial Area Density.

A new plot automatically appears in the Graphics window.

  1. Right-click the Interfacial Area Density node and select Edit.
  2. In the Interfacial Area Density dialog, set the properties as shown in the table below.
    Node Value
    Parts Derived Parts > Line Probe
    X-Type > Data Type Scalar
    X-Type > Scalar Function > Field Function Normalized Radial Position
    Y-Types > Y-Type 1 > Scalar Function > Field Function Interfacial Area Density
    Y-Types > Y-Type 1 > Line Probe > Legend Name S-Gamma
    Y-Types > Y-Type 1 > Line Probe > Line Style > Color Red
    Y-Types > Y-Type 1 > Line Probe > Line Style > Style Solid
    Y-Types > Y-Type 1 > Line Probe > Symbol Style > Color Red
  3. Click Close.
  4. Right-click the Interfacial Area Density > Data Series node and click Add Data.
  5. In the Add Data Providers to Plot window, select interfacialAreaDensity.
  6. Right-click the Data Series > interfacialAreaDensity node and select Edit.
  7. In the interfacialAreaDensity dialog, set the properties as shown in the table below.
    Node Value
    Table interfacialAreaDensity
    X Column r/R
    Y Column Interface_Area
    Symbol Style > Color Black
    Symbol Style > Shape Filled Circle
  8. Click Close.

Manually adjust the y-axis minimum value.

  1. Select the Interfacial Area Density > Axes > Left Axis node, set the Minimum to 0.0, and activate the checkbox next to Lock Minimum.

The Interfacial Area Density plot now has a minimum y value of 0, as shown in the following image:



Create and set up the plot of the Sauter Mean Diameter:

  1. Create an XY Plot and rename it Sauter Mean Diameter.

A new plot automatically appears in the Graphics window.

  1. Right-click the Sauter Mean Diameter node and select Edit.
  2. In the Sauter Mean Diameter dialog, set the properties as shown in the table below.
    Node Value
    Parts Derived Parts > Line Probe
    X-Type > Data Type Scalar
    X-Type > Scalar Function > Field Function Normalized Radial Position
    Y-Types > Y-Type 1 > Scalar Function > Field Function Sauter Mean Diameter > SauterMeanDiameter of Air
    Y-Types > Y-Type 1 > Scalar Function > Units mm
    Y-Types > Y-Type 1 > Line Probe > Legend Name S-Gamma
    Y-Types > Y-Type 1 > Line Probe > Line Style > Color Red
    Y-Types > Y-Type 1 > Line Probe > Line Style > Style Solid
    Y-Types > Y-Type 1 > Line Probe > Symbol Style > Color Red
  3. Click Close.
  4. Right-click the Sauter Mean Diameter > Data Series node and click Add Data.
  5. In the Add Data Providers to Plot window, select meanAirDiameter.
  6. Right-click the Data Series > meanAirDiameter node and select Edit.
  7. In the meanAirDiameter dialog, set the properties as shown in the table below.
    Node Value
    Table meanAirDiameter
    X Column r/R
    Y Column Mean_Diameter_of_Air
    Symbol Style > Color Black
    Symbol Style > Shape Filled Circle
  8. Click Close.

Manually adjust the y-axis minimum value.

  1. Select the Sauter Mean Diameter > Axes > Left Axis node, set the Minimum to 0.0, and activate the checkbox next to Lock Minimum.

    The Sauter Mean Diameter plot has a minimum y value of 0, as shown below: