Fire Fighting Hydraulic Formulas

Friction Loss

FL = C � Q� � L
C - Coefficient
Q - GPM � 100
L - Length of Hose � 100

GPM for a Single Sprinkler Head

Q = �P + 15
P - Pressure in PSI

Pressure for a Single Sprinkler Head

P = (Q-15)�2

Sprinkler System Total GPM

Total GPM = (�P+15) �# of Heads�# of Minutes
P - Pressure in PSI

Nozzle Tip GPM

GPM = 29.7 � D� � ?NP
D - Diameter of Nozzle Opening
NP - Nozzle Pressure

Hydrant Opening GPM

GPM = 29.7 � D� � ?P � 0.9
D - Diameter of Nozzle Opening
NP - Nozzle Pressure

Smooth Bore Nozzle Reaction

NR = 1.57 � D� � NP
D - Diameter of Nozzle Opening
NP - Nozzle Pressure

Fog Nozzle Reaction

NR=GPM�?NP�0.0505
NP - Nozzle Pressure

Volume of a Cylinder
(ft� to Gallons)

V = 0.7854�D��L�7.481
D - Diameter
L - Length

Volume of a Cylinder
(in� to Gallons)

V = 0.7854�D��L�231
D - Diameter
L - Length

Volume of a Tank

Volume = L � W � H
L - Length
W - Width
H - Height
Cubic Feet: V ft�= V � 7.481
Cubic Inches: V in� = V � 231

Iowa Fire Flow

Iowa = L � W � H � 100

NFA Fire Flow

NFA = L � W � 3

Relay Pumping

TPDP = FL + 20

Total Pump Discharge Pressure

TPDP=FL+NP+SL�EL
FL = Friction Loss
NP = Nozzle Pressure
SL = Set Loss
EL = Elevation