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GPS-X Technical Reference

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193 Suspended Growth Models<br />

Calculation of DO Saturation Concentration at Field Conditions<br />

The DO saturation concentration at field conditions is calculated as follows:<br />

Equation 6.58<br />

where:<br />

τ<br />

β<br />

Ω<br />

= temperature correction factor (unitless)<br />

= correction factor for sales, particulates, and surface-active substances<br />

(unitless)<br />

= pressure correction factor (unitless)<br />

C * ∞20 = DO saturation concentration at 20°C and 1 atm (mg/L)<br />

The correction factors are used to adjust the DO saturation concentration to account for<br />

the temperature of the liquid, the pressure at the submergence level of the diffusers, and<br />

the salts, precipitates, and surface-active substances found in the wastewater.<br />

The temperature correction factor is calculated as follows:<br />

Equation 6.3<br />

where:<br />

C * st<br />

C * s20<br />

= surface DO saturation concentration at temperature of t and 1 atm air<br />

pressure (mg/L)<br />

= surface DO saturation concentration at 20°C and 1 atm pressure (mg/L)<br />

The surface DO saturation concentration at liquid temperature t and an air pressure of<br />

1 atm is obtained using a look-up table in <strong>GPS</strong>-X that is based on temperature. The lookup<br />

table data were taken from Appendix C of the USEPA Design Manual – Fine Pore<br />

Aeration Systems (USEPA, 1989). When the temperature falls between two data points<br />

in the table, <strong>GPS</strong>-X uses linear interpolation to determine the C * st value. The value of<br />

C * s20 is 9.09 mg/L.<br />

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

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