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Science of Water : Concepts and Applications

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<strong>Water</strong> Treatment Calculations 353<br />

Then use the Q = AV equation to calculate velocity:<br />

QAV 84 cfm (18 ft)(12 ft)( x fpm)<br />

84<br />

x <br />

(18)(12)<br />

0.4 fpm<br />

Example 10.51<br />

Problem:<br />

A rectangular sedimentation basin 50 ft long <strong>and</strong> 20 ft wide has a water depth <strong>of</strong> 9 ft. If the fl ow to the<br />

basin is 1,880,000 gpd, what is the mean fl ow velocity in ft/min?<br />

Solution:<br />

Because velocity is desired in ft/min, the fl ow rate in the Q = AV equation must be expressed<br />

in cfm:<br />

1,880,000 gpd<br />

(1440 min/day)(7.48 gal/ft )<br />

Then use the Q = AV equation to calculate velocity:<br />

3 <br />

QAV 175 cfm (20 ft)(9 ft)( x fpm)<br />

175 cfm<br />

x <br />

(20)(9)<br />

097 . fpm<br />

175 cfm<br />

WEIR LOADING RATE (WEIR OVERFLOW RATE)<br />

Weir loading rate (weir overfl ow rate) is the amount <strong>of</strong> water leaving the settling tank per linear foot<br />

<strong>of</strong> weir. The result <strong>of</strong> this calculation can be compared with design. Normally, weir overfl ow rates<br />

<strong>of</strong> 10,000–20,000 gal/day/ft are used in the design <strong>of</strong> a settling tank. Typically, weir loading rate<br />

is a measure <strong>of</strong> the gpm fl ow over each foot (ft) <strong>of</strong> weir. Weir loading rate is determined using the<br />

following equation:<br />

Example 10.52<br />

Problem:<br />

flow, gpm<br />

Weir loading rate, gpm/ft (10.53)<br />

weir length, ft<br />

A rectangular sedimentation basin has a total <strong>of</strong> 115 ft <strong>of</strong> weir. What is the weir loading rate in gpm/ft<br />

when the fl ow is 1,110,000 gpd?

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