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September 2003 Slide 3-8-1 Driver/Operator 1B Friction Loss Formulas and Friction Loss Formulas and Calculations Calculations FL = (C x Q FL = (C x Q 2 2 )(L) )(L)
September 2003 Slide 3-8-1
Driver/Operator 1B
Friction Loss Formulas and Friction Loss Formulas and CalculationsCalculations
FL = (C x QFL = (C x Q22)(L))(L)
September 2003 Slide 3-8-2
Driver/Operator 1B
Friction Loss FormulaFriction Loss Formula
FL = (C x QFL = (C x Q22)(L))(L)C = Coefficient for hose diameterC = Coefficient for hose diameterQ = QuantityQ = QuantityL = LengthL = Length
September 2003 Slide 3-8-3
Driver/Operator 1B
FL CoefficientsFL Coefficients
C factors refer to the third principle C factors refer to the third principle of friction lossof friction loss
The base of the friction loss equationThe base of the friction loss equationAssigned based on the diameter of the Assigned based on the diameter of the hosehose•• FL decreases as diameter increasesFL decreases as diameter increases
Reflects a worstReflects a worst--case scenariocase scenarioResults are probably slightly higherResults are probably slightly higher
September 2003 Slide 3-8-4
Driver/Operator 1B
Standard (Coefficients)Standard (Coefficients)
1"1" == 15015011½½"" == 242411¾¾"" == 101022½½"" == 223"3" == 0.80.84"4" == 0.20.244½½"" == 0.10.15"5" == 0.080.08
September 2003 Slide 3-8-5
Driver/Operator 1B
September 2003 Slide 3-8-6
Driver/Operator 1B
Calculating "Q"Calculating "Q"
Q = Q = 200200 (gpm)/100(gpm)/100Q = 2Q = 2
If gpm is 400, what is Q?If gpm is 400, what is Q?Q = Q = 400400 (gpm)/100(gpm)/100Q = 4Q = 4
Second step of formulaSecond step of formulaMust be calculated, then appliedMust be calculated, then appliedIf gpm is 200, what is Q?If gpm is 200, what is Q?
September 2003 Slide 3-8-7
Driver/Operator 1B
Calculating FLCalculating FL
FL = (2 x 2FL = (2 x 222)(1))(1)FL = (2 x 4)(1)FL = (2 x 4)(1)
FL = (8)(1)FL = (8)(1)FL = 8 psiFL = 8 psi
200gpm 100' of 2½"
September 2003 Slide 3-8-8
Driver/Operator 1B
Calculating Single Hose FLCalculating Single Hose FL
FL = (2 x 1FL = (2 x 122)(3))(3)FL = (2 x 1)(3)FL = (2 x 1)(3)
FL = (1)(3)FL = (1)(3)FL = 6 psiFL = 6 psi
100gpm 300' of 2½"
September 2003 Slide 3-8-9
Driver/Operator 1B
-- Multiple Hoselines Multiple Hoselines --Equal Size and LengthEqual Size and Length
Calculate FL forone hoseline only if other hoselines will have the same pressure and gpm
September 2003 Slide 3-8-10
Driver/Operator 1B
1" at 50 psi
400' of 2½" Calculate Q
gpm = (29.7)(dgpm = (29.7)(d22 x x √√ NP)NP)gpm = (29.7)(1gpm = (29.7)(122 x x √√ 50)50)gpm = (29.7)(1 x 7.0711)gpm = (29.7)(1 x 7.0711)gpm = (29.7)(7.0711)gpm = (29.7)(7.0711)gpm = 210 psi = 200 psigpm = 210 psi = 200 psiQ = 200/100 = Q = 200/100 = 22
September 2003 Slide 3-8-11
Driver/Operator 1B
1" nozzles
400' of 2½" Calculate FL
FL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 2FL = (2 x 222)(4))(4)FL = (2 x 4)(4)FL = (2 x 4)(4)FL = (8)(4)FL = (8)(4)FL = 32 psiFL = 32 psi
September 2003 Slide 3-8-12
Driver/Operator 1B
Wyed Hoselines Wyed Hoselines -- Equal Equal LengthsLengths
One hoseline supplies two othersOne hoseline supplies two othersTwo 1Two 1½½" or 1" or 1¾¾" attack lines wyed from " attack lines wyed from a 2a 2½½" supply line is common" supply line is common
Calculate FL for supply line and Calculate FL for supply line and one one wyed hoseline, then add wyed hoseline, then add togethertogetherOnly one needs to be computed Only one needs to be computed since they carry equal amounts of since they carry equal amounts of waterwater
September 2003 Slide 3-8-13
Driver/Operator 1B
Wye LineWye LineQ = Q = 150 150
100100Q = Q = 1.51.5
22½½" Line" LineQ = Q = 300 300
100100Q = Q = 33
Calculate Q200' of 2½"
150 gpm
150' of 1¾"
September 2003 Slide 3-8-14
Driver/Operator 1B
Calculate FL
200' of 2½"
150 gpm
150' of 1¾"
22½½" Line" LineFL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 3FL = (2 x 322)(2))(2)FL = (2 x 9)(2)FL = (2 x 9)(2)FL = (18)(2)FL = (18)(2)FL = FL = 36 psi36 psi
34 psi34 psi36 psi36 psi70 psi70 psi
Wye LineWye LineFL = (C x QFL = (C x Q22)(L))(L)FL = (10 x 1.5FL = (10 x 1.522)(1.5))(1.5)FL = (10 x 2.25)(1.5)FL = (10 x 2.25)(1.5)FL = (22.5)(1.5)FL = (22.5)(1.5)FL = FL = 34 psi34 psi
September 2003 Slide 3-8-15
Driver/Operator 1B
Siamese Hoselines Siamese Hoselines -- Equal Equal LengthLength
Two or more parallel hoselinesTwo or more parallel hoselinesDivide gpm by total number of Divide gpm by total number of hoselineshoselines
Then calculate FL for one lineThen calculate FL for one lineTake Take ½½ of the gpm flow and figure of the gpm flow and figure the FL for one linethe FL for one lineCoefficients are used in calculating Coefficients are used in calculating FLFL
September 2003 Slide 3-8-16
Driver/Operator 1B
22½½" Line" LineQ = Q = 300 300
100100Q = Q = 33
SiameseSiameseQ = Q = 150 150
100100Q = Q = 1.51.5
1,000' of 3"
300 gpm
1,000' of 3"
300' of 2½"
Calculate Q
September 2003 Slide 3-8-17
Driver/Operator 1B
1,000' of 3"
300 gpm
1,000' of 3"
300' of 2½"
Calculate FL
22½½" Line" LineFL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 3FL = (2 x 322)(3))(3)FL = (2 x 9)(3)FL = (2 x 9)(3)FL = (18)(3)FL = (18)(3)FL = FL = 54 psi54 psi
SiameseSiameseFL = (C x QFL = (C x Q22)(L))(L)FL = (.8 x 1.5FL = (.8 x 1.522)(10))(10)FL = (.8 x 2.25)(10)FL = (.8 x 2.25)(10)FL = (1.8)(10)FL = (1.8)(10)FL = FL = 18 psi18 psi
September 2003 Slide 3-8-18
Driver/Operator 1B
1,000' of 3"
300 gpm
1,000' of 3"
300' of 2½"
Calculate FL
Add FL togetherAdd FL together54 psi54 psi18 psi18 psi72 psi72 psi
September 2003 Slide 3-8-19
Driver/Operator 1B
Calculate FL for each lineCalculate FL for each linePump for highest pressure neededPump for highest pressure neededGate down discharge of line(s) Gate down discharge of line(s) needing less pressure needing less pressure
-- Multiple Hoselines Multiple Hoselines --Unequal LengthUnequal Length
September 2003 Slide 3-8-20
Driver/Operator 1B
Calculating QCalculating QQ = Q = 250 250
100100Q = Q = 2.52.5
250 gpm
300' of 2½"
500' of 2½"
September 2003 Slide 3-8-21
Driver/Operator 1B
250 gpm
Line 1:300' of 2½"
Line 2:500' of 2½"
Calculate FL
Line 2Line 2FL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 2.5FL = (2 x 2.522)(5))(5)FL = (2 x 6.25)(5)FL = (2 x 6.25)(5)FL = (12.5)(5)FL = (12.5)(5)FL = FL = 63 psi63 psi
Line 1Line 1FL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 2.5FL = (2 x 2.522)(3))(3)FL = (2 x 6.25)(3)FL = (2 x 6.25)(3)FL = (12.5)(3)FL = (12.5)(3)FL = FL = 38 psi38 psi
63 psi63 psi
September 2003 Slide 3-8-22
Driver/Operator 1B
Wyed Hoselines Wyed Hoselines -- Unequal Unequal LengthLength
Addition of hose lengths to an Addition of hose lengths to an existing wyed hoseline assembly existing wyed hoseline assembly may result in unequal length attack may result in unequal length attack lineslinesCalculate FL for supply line and Calculate FL for supply line and bothboth wyed hoselineswyed hoselinesPump to the highest wyed line and Pump to the highest wyed line and gategate--down the other wyed linedown the other wyed line
September 2003 Slide 3-8-23
Driver/Operator 1B
Calculate Q200' of 2½"
100 gpm
200' of 1½"
150' of 1½"
Wye LineWye LineQ = Q = 100 100
100100Q = Q = 11
22½½" Line" LineQ = Q = 200 200
100100Q = Q = 22
September 2003 Slide 3-8-24
Driver/Operator 1B
Calculate FL
150' Wye Line150' Wye LineFL = (C x QFL = (C x Q22)(L))(L)FL = (24 x 1FL = (24 x 122)(1.5))(1.5)FL = (24 x 1)(1.5)FL = (24 x 1)(1.5)FL = (24)(1.5)FL = (24)(1.5)FL = FL = 36 psi36 psi
22½½" Line" LineFL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 2FL = (2 x 222)(2))(2)FL = (2 x 4)(2)FL = (2 x 4)(2)FL = (8)(2)FL = (8)(2)FL = FL = 16 psi16 psi
200' of 2½"
100 gpm
200' of 1½"
150' of 1½"
200' Wye Line200' Wye LineFL = (C x QFL = (C x Q22)(L))(L)FL = (24 x 1FL = (24 x 122)(2))(2)FL = (24 x 1)(2)FL = (24 x 1)(2)FL = (24)(2)FL = (24)(2)FL = FL = 48 psi48 psi
September 2003 Slide 3-8-25
Driver/Operator 1B
Calculate FL
48 psi48 psi16 psi16 psi63 psi63 psi
200' of 2½"
100 gpm
200' of 1½"
150' of 1½"
September 2003 Slide 3-8-26
Driver/Operator 1B
-- Siamese Hoselines Siamese Hoselines ––Unequal LengthUnequal Length
Add the lengths of each line Add the lengths of each line together, then divide by total together, then divide by total number of linesnumber of lines
September 2003 Slide 3-8-27
Driver/Operator 1B
22½½" Line" LineQ = Q = 250 250
100100Q = 2.5Q = 2.5
SiameseSiameseQ = Q = 125 125
100100Q = 1.25Q = 1.25
900 of 3"
250 gpm
1,000' of 3"
100' of 2½"
Calculate Q
September 2003 Slide 3-8-28
Driver/Operator 1B
900 of 3"
250 gpm
1,000' of 3"
100' of 2½"
Calculate FL
Determine LDetermine L900900
1,0001,0001,9501,950
1,950 1,950 ÷÷ 2 = 9502 = 950950 950 ÷÷ 100 = 100 = 9.59.5
SiameseSiameseFL = (C x QFL = (C x Q22)(L))(L)FL = (.8 x 1.25FL = (.8 x 1.2522)(9.5))(9.5)FL = (.8 x 1.56)(9.5)FL = (.8 x 1.56)(9.5)FL = (1.25)(9.5)FL = (1.25)(9.5)FL = FL = 12 psi12 psi
September 2003 Slide 3-8-29
Driver/Operator 1B
900 of 3"
250 gpm
1,000' of 3"
100' of 2½"
Calculate FL
22½½" Line" LineFL = (C x QFL = (C x Q22)(L))(L)FL = (2 x 2.5FL = (2 x 2.522)(1))(1)FL = (2 x 6.25)(1)FL = (2 x 6.25)(1)FL = (12.5)(1)FL = (12.5)(1)FL = FL = 13 psi13 psi
13 psi13 psi12 psi12 psi25 psi25 psi
