Determine the amount of water that can be delivered by a sprinkler head having a 3/4" in orifice with a 13.7 k-factor and installed in an automatic sprinkler system having a 35 psi residual pressure. Example 11.1What is the flow rate of a sprinkler with a standard 1/2-in. orifice (K = 5.5) with 20 psi residual pressure?SolutionFlow rate Q = 5.5 x √/20 = 5.5 x 4.4724.6 GPMExample 11.2What is the flow rate of a sprinkler with a 3/4-in. orifice (K = 14) with 65 psi?Solution=Flow rate Q = 14 x √√65 = 14 x 8.1= 112.9 GPM The flow rate of a sprinkler depends on the size of its orifice and the residual pressure of the water supply. The flow rate is calculated from the fundamental fluid flowformula,(11.1)whereQ = flow rate, GPMQ = KX √PK = flow constant, per unit; varies from 1.3 to 1.5 for a 1/4-in. orifice, 5.3 to 5.8 for a 1/2-in. orifice, to 13.5 to 14.5 for a ³/4-in. orificep = pressure, psi (residual pressure at rated flow)

The Head of orifice = 3/4"Automatic sprinkler system (P) = 35 PsiFlow factor (K) = 13.7

Answered: Determine the amount of water that can…

Determine the amount of water that can be delivered by a sprinkler head having a 3/4" in orifice with a 13.7 k-factor and installed in an automatic sprinkler system having a 35 psi residual pressure

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Determine the amount of water that can be delivered by a sprinkler head having a 3/4" in orifice with a 13.7 k-factor and installed in an automatic sprinkler system having a 35 psi residual pressure.

Example 11.1
What is the flow rate of a sprinkler with a standard 1/2-in. orifice (K = 5.5) with 20 psi residual pressure?
Solution
Flow rate Q = 5.5 x √/20 = 5.5 x 4.47
24.6 GPM
Example 11.2
What is the flow rate of a sprinkler with a 3/4-in. orifice (K = 14) with 65 psi?
Solution
=
Flow rate Q = 14 x √√65 = 14 x 8.1
= 112.9 GPM

The flow rate of a sprinkler depends on the size of its orifice and the residual pressure of the water supply. The flow rate is calculated from the fundamental fluid flow
formula,
(11.1)
where
Q = flow rate, GPM
Q = KX √P
K = flow constant, per unit; varies from 1.3 to 1.5 for a 1/4-in. orifice, 5.3 to 5.8 for a 1/2-in. orifice, to 13.5 to 14.5 for a ³/4-in. orifice
p = pressure, psi (residual pressure at rated flow)

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