# CFD Simulation of Airflow Through Filters in a Dust Collector

After using Computational Fluid Dynamics (CFD) to simulate the blower and cyclone in Matthias Wandel's "Small Dust Collector" we next turn our attention to the last remaining major component - the twin filter assembly. The filters remove fine particles that escape the cyclone, leaving the air to pass through the blower and exit to the atmosphere.

CFD Simulation of a Filter Assembly for a Dust Collector

### 3D Model Construction

The twin filters were modeled as porous media using a multi-volume flow domain where the filters are represented as separate volumes. The geometry was created from scratch using Matthias' plans.

Dust Collector Filter AssemblySketchUp Assembly Model

Once the flow leaves the two filter cores it recombines into a single outlet through a manifold. In the complete system the manifold outlet is coupled directly to the inlet of the blower, hence its off-center position.

CFD Filter Assembly Flow Domain

### Performance Test

For porous media we need to define the permeability of the filters in our model. Assuming Darcy's Law and assuming the filters conform to the HEPA standard we find that the permeability is 3.79 x 10-5 m2. Permeability is a function of volume flow rate and pressure drop, so ideally it needs to be modified for each flow condition. However, the range over which the permeability changes for the flow rate we are considering is small, so for this study we will assume it is constant.

Recall our previous CFD simulation for the cyclone revealed that the operating condition for the complete system should correspond to a flow rate of less than 0.065 m3/s. Hence, for this study we ran 9 simulations in the range 0.01 - 0.1 m3/s.

Pressure Drop vs Volume Flow Rate for the Filter Assembly

### Summary

The results show that as the flow rate increases through the filters the pressure drop also increases, as we found for the cyclone. However, notice that the pressure drop for the filters is insignificant when compared to the pressure drop for the cyclone. At 0.06 m3/s the pressure drop for the filters is only 4% that of the cyclone.

Comparison of Pressure Drop for Cyclone, Filters, and Cyclone + Filters vs Flow Rate

Combining the pressure drops for the filters and for the cyclone gives the total pressure drop curve. The intersect of the total pressure drop curve with the blower's fan curve gives the operating conditions at a flow rate of 0.063 m3/s and a pressure rise of 2900 N/m2. Note this does not account for the length or type of hose connected to the cyclone inlet, which Matthias tells me contributes more pressure drop than the filters.

Pressure Drop for Cyclone + Filters and Pressure Rise for BlowerIntersection indicates operating conditions

### Flow Visualization

Filter Box StreamlinesFilter Assembly CFD simulation for 0.06 m3/s flow rate

Manifold StreamlinesFilter Assembly CFD simulation for 0.06 m3/s flow rate

Velocity VectorsFilter Assembly CFD simulation for 0.06 m3/s flow rate

Clipped Velocity VectorsFilter Assembly CFD simulation for 0.06 m3/s flow rate

Velocity Iso-SurfacesFilter Assembly CFD simulation for 0.06 m3/s flow rate

Clipped Velocity Iso-SurfacesFilter Assembly CFD simulation for 0.06 m3/s flow rate

Pressure Iso-SurfacesFilter Assembly CFD simulation for 0.06 m3/s flow rate

Clipped Pressure Iso-SurfacesFilter Assembly CFD simulation for 0.06 m3/s flow rate

### Notes

The filter assembly geometry was created in Caedium Professional. The CFD simulations were automated using a Python script and were performed using the incompressible, steady-state RANS solver with porous media, and the k-omega SST turbulence model.