Defining Physics and Conditions

The physics and conditions are specified as follows.

Adding Modules

Click Select Modules in the Model Panel. The Physical Model Selection dialog box opens.
Vane is automatically added to the Model Panel by the Rotor Template Mesher.
Select Circumferential Valve 1, click Delete.
Select Cavitation under Available Modules list and click Add.
Select Rotation (1 DOF) under Available Modules and click Add.
Click Close to close the Physical Model Selection dialog box.

Figure 6.271 - Adding modules

´	Note: The Vane module and two Circumferential Valve modules were already added during the mesh creation and Flow will automatically be included. (The second Circumferential Valve module is not needed, since it has the same motion as the first.

General Operating Parameters

Select Vane in the Model Panel.
Enter Number of Revolutions as 4 and Time Steps Per Vane Rotation as 40 for the Time Definition in the Model Tab of Properties Panel.
Click Edit Expressions icon under Slider Rotation to open the Expression Editor dialog box.
Enter the following for Global Expressions as follows (see, Figure 6.273).
pi = 3.1415927
angv = rotate_1d.angle*180/pi - 3.5
Click OK and enter angv for the Slider Rotation.
Enter the parameters for the Angular Velocity Definition as follows.
- Rotational Direction: Clockwise
- Rotational Speed: 3000 rpm
- Rotational Axis Vector: 0, 0, 1

Figure 6.272 - Operating parameters

Figure 6.273 - angv expression

Note:

The selection of a Time Steps Per Vane Rotation= 40 is critical for this problem because the dynamics module has an explicit component that is sensitive to the size of the time-step. Using the default value of 20 does not converge for this case.
The value 3.5 in the expression is a pre-rotated angle included as adjustment to the original meshed position of the pumping chamber.
The rotate_1d.angle is a variable generated by the Rotation (1 DOF) module that will link the position of the chamber wall with the dynamic motion of the outer Cam housing.
The Number of Vanes is used for calculating the time-step. (It does not change the geometry).

Circumferential Valve Operating Parameters

Select Circumferential Valve in the Model Panel.
Select Rotation (1 DOF) from Dynamics drop-down list in the Model Tab of Properties Panel. This links the motion of the Circumferential Valve to the value computed in the Rotation (1 DOF) module.
Enter the parameters for the Valve Configuration as follows.
- Minimum Gap Size: 0.0001 m
- Maximum Displacement: 0.01 m

Figure 6.274 - Circumferential operating parameters

Rotation 1 (DOF) Operating Parameters

Select Rotation (1 DOF) in the Model Panel.
Select Force Balance in the Motion Type drop-down list.
Enter the parameters for Motion Type as follows.
- Moment of Inertia: 0.0004 kg-m²
- Torsion Constant: 187 N-m/rad
- Torsion Preload Torque: 8.712 N-m
- Rotational Axis Vector: 0, 0, 1
- Center of Rotation: 0.0259159, -0.0277914,0
Note: Center of Rotation corresponds to Pin Center.

Figure 6.275 - Rotational 1 (DOF) operating parameters

Boundary Conditions

The boundary conditions are specified as follows.

Inlet and Control Inlet

Select port_inlet from the port Boundaries list under Volumes in the Geometric Entities Panel.
Select Inlet from Vane drop-down list in the Model Tab of Properties Panel.
Enter Inlet Pressure as 101325 Pa.
Select control_inlet from the Boundaries list under Volumes in the Geometric Entities Panel.
Select Inlet from the Vane drop-down list in the Model Tab of Properties Panel.
Enter Inlet Pressure as 300000 Pa.

Figure 6.276 - Inlet conditions

Outlet and Release Outlet

Select port_outlet from the port Boundaries list under Volumes in the Geometric Entities Panel.
Select Outlet from the Vane drop-down list in the Model Tab of Properties Panel.
Enter Outlet Pressure as 1e+06 Pa.
Select release_open from the Boundaries list under Volumes in the Geometric Entities Panel.
Select Outlet from the Vane drop-down list in the Model Tab of Properties Panel.
Enter Outlet Pressure as 101325 Pa.

Figure 6.277 - Outlet conditions

Circumferential Valve Conditions Slider 1 and Slider 2

In this section, the boundary conditions for slider1 and slider2 are specified. The boundary conditions are preset by the Valve Template Mesher.

Select Boundaries from the Geometric Entities Panel (see Table 6.9 ).
In the Model Tab of Properties Panel, select boundary type in the Circumferential Valve drop-down list as listed in Table 6.9.

Boundaries	Circumferential Boundary Type
slider1_bot, slider1_cyl_in, slider1_cyl_out, slider1_top	Cylinder
slider1_ends	Valve End
slider1_valve	Valve
slider2_bot, slider2_cyl_in, slider2_cyl_out, slider2_top	Cylinder
slider2_ends	Valve End
slider2_valve	Valve

Table 6.9 - Boundary type slider 1 and slider 2

Vane Pump Boundary Conditions

Select chamber_wall from the vane Boundaries list under Volumes in the Geometric Entities Panel.
Select Chamber_wall from the Vane and Valve from the Circumferential Valve drop-down list in the Model Tab of Properties Panel.
Select Dynamic BC from the Rotation (1 DOF) drop-down list.
Select groove_wall from the groove Boundaries list in the Geometric Entities Panel.
Select Groove or Side Gap from the Vane and Dynamic BC from the Rotation (1 DOF) drop-down list in the Model Tab of Properties Panel.

Figure 6.278 - Vane pump conditions

Note: The Groove or Side Gap Boundary Conditions (BC) dictates that the associated groove volume will move with the same dynamics as Rotation (1 DOF).

Fluid Properties

Select Volumes in the Geometric Entities Panel.
In the Model Tab of Properties Panel
Enter the parameters for Property list as follows.

Material: Oil
Dynamic Viscosity: 0.007 Pa-s
Density: 800 kg/m³
Liquid Bulk Modulus(B0): 1.5e+09 Pa
Liquid Reference Pressure: 101325 Pa
Saturation Pressure: 400 Pa

Enter the parameters for Operating Conditions as follows.

Gas Mass Fraction: 9e-5 Pa-s
Operating Temperature: 300 K
Starting Pressure: 101325 Pa

Figure 6.279 - Fluid properties