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Science of Water : Concepts and Applications

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368 The <strong>Science</strong> <strong>of</strong> <strong>Water</strong>: <strong>Concepts</strong> <strong>and</strong> <strong>Applications</strong><br />

Example 10.72<br />

Problem:<br />

A fi lter 18 ft by 22 ft receives a fl ow <strong>of</strong> 1750 gpm. What is the fi ltration rate in gpm/ft2 ?<br />

Solution:<br />

2 flow rate, gpm<br />

Filtration rate, gpmft filter surface area,<br />

ft<br />

1750 gpm<br />

<br />

(18 ft)(22 ft)<br />

4.4 gpm/ft<br />

Example 10.73<br />

Problem:<br />

A fi lter 28 ft long <strong>and</strong> 18 ft wide treats a fl ow <strong>of</strong> 3.5 MGD. What is the fi ltration rate in gpm/ft2 ?<br />

Solution:<br />

3,500,000 gpd<br />

Flow rate <br />

2431 gpm<br />

1440 minday 2 flow rate, gpm<br />

Filtration rate,<br />

gpmft filter surface area, sq ft<br />

2431 gpm<br />

<br />

(28 ft)(18 ft)<br />

4.8 gpm ft 2<br />

<br />

Example 10.74<br />

Problem:<br />

A fi lter 45 ft long <strong>and</strong> 20 ft wide produces a total <strong>of</strong> 18 MG during a 76-h fi lter run. What is the average<br />

fi ltration rate in gpm/ft2 for this fi lter run?<br />

Solution:<br />

First calculate the gpm fl ow rate through the fi lter:<br />

Flow rate, gpm <br />

total gallons produced<br />

filter run, min<br />

18,000,000<br />

gal<br />

<br />

(76)(60 minh) <br />

3947 gpm<br />

2<br />

2

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