Sprinkler Irrigation

how will you measure the coefficient of discharge?

Easy. Fluid Mechanics. Rainbird and Toro use it daily in the design of nozzles.
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http://www.flowmeterdirectory.com/flowme ...

http://www.engineeringtoolbox.com/bernou ...

http://www.newfreedownloads.com/find/coe ...

You will not. If you want to know how much water is discharged, you must enter the water from a sprinkler for a period of time measured, and measure the amount of water discharged. Change as gallons per minute (U.S.)