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Water Flow through an Open Channel - Math for Water Industry

by Enrique
(Barrera)










































Flow through an open channel that measures 10 feet long by 2 feet deep by 2 feet wide is 800 gpm. What is the velocity?

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Mar 14, 2012
Velocity of Water through an Open Channel
by: Staff


Question:

by Enrique
(Barrera)

Flow through an open channel that measures 10 feet long by 2 feet deep by 2 feet wide is 800 gpm. What is the velocity?


Answer:


V = Q/OA


V = water velocity in feet per second (how fast the water is flowing)

Q = gallons per minute through the open channel = 800 gallons per minute

OA = the size (cross section) of the channel in Square Inches

= 2 ft * 2 ft * 144 in² per ft²

= 576 in²


You probably don’t care, but for the record, the numbers in this formula are conversion factors:

0.1337 changes the gallons per minute to cubic feet per minute

144 means 144 square inches per square foot
60 means 60 seconds for every minute

Using the equation:

V = Q/OA

V = gallons per minute x 0.1337 x 144 / {Square inches x 60}

V = (800 * 0.1337 * 144)/( 32.37 * 60)

V = (15402.2)/( 1942.2)

V = 7.9 feet per second, rounded

(The velocity of the water flowing through the open channel is 7.9 feet per second. )



Thanks for writing.

Staff
www.solving-math-problems.com



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