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Method

Gtheta Value for k-e realizable 1_5 W one baffle

Ave of Cell's Product (1)

.6698

Ave G* Floc residence time (2)

45

Ave G*Ave N (3)

.617


 

 The fourth method is to determine Π-value of the energy dissapation region and pressure drop of the flow:

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       Π-cell:  the ratio of the length of the dissipation zone divided by the baffle spacing (approximately 6)
       K:  Pressure drop coefficient (approximately 4)

       Image Added
       b:  baffle width (.1 m)

       V:  Velocity (.1)

       ν:  kinematic viscosityviscosity (aproximatedly 3e-4 in region of interest)
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Method

Gtheta Value for k-e realizable 1_5 W one baffle

π-value, k (Monroe)

20

 

Gtheta was also plotted using the custom function in FLUENT.

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With Const.=1, the Gtheta values range from 0 to 430 with the highest values at the boundary and in the separation regime. The plot ranges from 0 to .1 for contrast.

 Conclusion

The Gtheta that compares best to mechanically mixed floculators is the Gtheta calculated from method 2, where the G value is averaged, and this averaged value is multiplied by the residence time of a particle. As suggested in discussions with Monroe, this simplistic definition fails to incorporate the weighted flow average.

The values for the other methods represent this weighted flow average, however they are much smaller. This reflects how most of the cells are in extremely low flow stagnant conditions. This is not physically the case and represents how the converged solution represents the time-averaged value. The fluctuations which would decrease resonance time and increase shear in all regions are not present in the flow in FLUENT.