4.3. CFD coupling particle statistics

CFD coupling particle statistics is a module introduced in Rocky v4.5. It collects instantaneous values from particle-fluid interaction variables and calculates with them average values that then are associated to the particles. This originates new particle properties that users may visualize in a 3D view window and post-process at their convenience.

Table 4.6: Available CFD coupling particle statistics, as of v4.5

Property

Calculation

Drag Force Equation 4–36 with from equation of the DEM-CFD Coupling Technical Manual
Lift Force Equation 4–36 with from equation of the DEM-CFD Coupling Technical Manual
Vitrtual Mass Force Equation 4–36 with from equation of the DEM-CFD Coupling Technical Manual
Pressure Gradient Force Equation 4–36 with from equation of the DEM-CFD Coupling Technical Manual
Flow Induced Torque Equation 4–38 with from equation of the DEM-CFD Coupling Technical Manual
Convective Heat Transfer Rate Equation 4–39 with from equation of the DEM-CFD Coupling Technical Manual

The currently available statistics are listed in Table 4.6: Available CFD coupling particle statistics, as of v4.5. All of them are integral-based statistics that represent average values of particle-fluid interaction magnitudes measured during an output interval. For instance, the average CFD interaction forces are calculated as:

(4–36)

where is the impulse associated to the interaction force , which, in turn, is approximated as indicated in Equation 4–17 . The time interval is the time of residence of the particle p during the output interval. Normally it will be equal to the output interval itself, , except in the case in which the particle entered the simulation at some point within that interval. In that case will be equal to , where is the output time which the statistics are associated to, while is the time at which the particle was released into the simulation. The previous definition can be condensed into the expression:

(4–37)

Equivalent expressions are used to calculate the average values of the flow-induced torque and the convective heat transfer rate. In the case of the flow-induced torque, the average value is calculated as:

(4–38)

where is the instantaneous value of the flow-induced torque and is the simulation timestep.

For the convective heat transfer rate, its average is calculated using the expression:

(4–39)

where is the instantaneous value of the convective heat transfer rate.

The expressions that define the instantaneous values of each one of the interaction magnitudes mentioned above are indicated in Table 4.6: Available CFD coupling particle statistics, as of v4.5. All of them are included in the DEM-CFD Coupling Technical Manual; for further details about how those magnitudes are calculated please refer to that manual.

Each one of the statistics offered by the CFD coupling particle statistics module can be enabled individually in the Rocky UI. A given statistics may be enabled even if the related interaction variable is not active in the CFD coupling calculations performed by Rocky. If that is the case, the related statistics will have zero values for all particles at all output times. However, users must be aware that those statistics still will occupy memory and disk space, for that reason they must be careful and enable only statistics related to active variables.