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GPS-X Technical Reference

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Suspended Growth Models 106<br />

The SOTE for coarse bubble and jet diffusers is dependent upon the airflow per diffuser<br />

and the diffuser submergence.<br />

In all the SOTE correlations, the airflow per diffuser has been limited to be within the<br />

ranges used for calibration. The correlations are empirical and should not be extrapolated<br />

outside of the calibration range. The ranges are used as follows:<br />

Fine Bubble<br />

Ceramic Disc:<br />

Ceramic Dome:<br />

Membrane Disc:<br />

Membrane Tube:<br />

0.5 ≤ AF ≤ 5m 3 /h/diffuser<br />

0.5 ≤ AF ≤ 4.4 m 3 /h/diffuser<br />

0.8 ≤ AF ≤ 5 m 3 /h/diffuser<br />

0.8 ≤ AF ≤ 15 m 3 /h/diffuser<br />

Coarse Bubble<br />

Jet<br />

14 ≤ AF ≤ 58 m 3 /h/diffuser<br />

8 ≤ AF ≤ 140 m 3 /h/diffuser<br />

<strong>GPS</strong>-X applies a warning message to the log window if the airflow per diffuser is outside<br />

the ranges given above.<br />

SOTE in Deep Tanks<br />

The fine bubble SOTE correlation is modified for tanks deeper than 8 m. Work by Pöpel<br />

and Wagner (1994) has shown that the SOTE does not continue to increase linearly with<br />

the depth of submergence beyond depths of approximately 8 m (see Figure 8 in Pöpel and<br />

Wagner (1994)). At depths greater than 8 m the SOTE starts to level off so that the<br />

SOTE can never be greater than 100 %.<br />

An extra quadratic term in diffuser submergence is added to Equation 6.25 when the<br />

diffuser submergence is greater than 8 m, as shown in Equation 6.27.<br />

Equation 6.27<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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