Help with determining appropriate pipe size

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To connect a city water supply to a residential fire sprinkler system, a typical black steel pipe can easily handle the required flow of 26 gallons per minute (gpm) at a static pressure of 48 psi. The calculated friction loss of 5.6 psi over 100 feet indicates that any standard pipe size should suffice for this low flow requirement. It's crucial to ensure that the pressure at the sprinklers meets the necessary minimum, accounting for any pressure drops due to friction. Additionally, the elevation of the sprinklers should be factored into the overall pressure calculations. Proper sizing will ensure adequate performance of the fire sprinkler system.
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I'm trying to connect water from a city water supply to a residential fire sprinkler system. The pipe needs to be typical black steel, and hydrostatic test results show a static pressure of 48-psi. What size pipe would I need to achieve at least 26-gpm flow? I've calculated friction loss to be about 5.6-psi over a 100-ft length. Thanks in advance.
 
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How have you calculated friction loss without a pipe size?

26 gpm is pretty low, as is 48 psi. You won't need very big piping to accommodate that flow. Any black steel pipe can handle 50 psi with ease.

It's not what you can "acheive", it's the pressure you need at the end, accounting for pressure drop due to pipe friction. Almost literally any pipe size can accommodate a meager 26 gpm.

For instance, if you NEED 30 psi at the sprinklers, then you need a pipe size that will not reduce the head any lower than that.

Speaking of head, is that 5.6 psi (~13 ft static head) drop accounting for the elevation of the sprinkers?
 
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