Friction Loss for Pipe Sizing

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A. Friction Losses in Pipe DARCY-WEISBACH formula L V 2 H f = f ( ----- ) ------ d 2g Where L = Length of pipe (ft) d = Inside diameter (ft) V = Velocity (ft /sec) g = Gravitational constant (ft/sec 2 ) f = DARCY-WEISBACH friction loss coefficient f = function (Re * ε/d) H f = Head loss due to friction (ft) ε = Absolute roughness (ft) Commercial pipe (new) ε (ft) Glass, drawn brass, copper, lead Wrough iron, steel Asphalted cast iron Galvanized iron Wood stave Concrete Riveted steel Smooth 0.00015 0.0004 0.00085 0.0006 - 0.003 0.001 - 0.01 0.003 - 0.03 Page 8 of 30

Transcript of Friction Loss for Pipe Sizing

Page 1: Friction Loss for Pipe Sizing

A. Friction Losses in Pipe DARCY-WEISBACH formula

L V2

Hf = f ( ----- ) ------ d 2g Where L = Length of pipe (ft) d = Inside diameter (ft) V = Velocity (ft /sec) g = Gravitational constant (ft/sec2) f = DARCY-WEISBACH friction loss coefficient f = function (Re * ε/d) Hf = Head loss due to friction (ft) ε = Absolute roughness (ft)

Commercial pipe (new)

ε (ft)

Glass, drawn brass, copper, lead Wrough iron, steel Asphalted cast iron Galvanized iron Wood stave Concrete Riveted steel

Smooth

0.00015

0.0004

0.00085

0.0006 - 0.003

0.001 - 0.01

0.003 - 0.03

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PIPE ROUGHNESS VALUES Jacques Chaurette p. eng.

www.lightmypump.com February 2003

Pipe absolute roughness values (RMS) Material Absolute roughness

(in x 10-3) Absolute roughness (micron or m x 10-6)

Riveted steel1 36-360 915-9150 Concrete1 12-120 305-3050

Ductile iron2 102 2591 Wood stave1 3.6-7.2 91-183

Galvanized iron1 6 152

Cast iron – asphalt dipped1 4.8 122 Cast iron uncoated1 10 254

Carbon steel or wrought iron1 1.8 45 Stainless steel1 1.8 45

Fiberglass3 0.2 5

Drawn tubing – glass, brass, plastic1

0.06 1.5

Copper2 0.06 1.5 Aluminium2 0.06 1.5

PVC2 0.06 1.5 Red brass2 0.06 1.5

Sources : 1. Cameron hydraulic data Book 2. Enginereed Software’s PIPE-FLO software www.engineered-

software.com 3. Fiberglass Pipe Handbook, SPI Composites Institute

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B. Friction Losses in Piping Components

For purposes of calculating losses in a piping system, fittings and valves are made into equivalent lengths of pipe.

One 90O LR elbow has the same head loss as a piece of pipe 20D long. 90o Short radius elbow = 1 D 90o Long radius elbow = 1.5 D

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C. Equivalent lengths of pipe of various valves & fittings

Valve/Fitting

Equivalent

length L/D

Drawing

Elbows : # 90o Short radius # 90o Long radius # 45o Short radius # 45o Long radius

30 20 16 12

Tees* : Branch flow Run flow

60 20

Laterals* : Branch-Run flow Run-Branch flow Run-Run Run-Run Branch-Run reverse Run-Branch reverse

← →

30 40 20 25

130 130

Valves : # Globe-Conventional # Globe-60o Y Pattern # Globe-45o Y Pattern # Angle-Conventional # Cock -Straight through -Three way-Run -Three way-Branch Check -Conventional Swing -Clearway Swing -Globe Lift or Stop -Angle Lift or Stop -Inline Ball Gate-Disk

340 175 145 145

18 44

140

135 50

345 145 150 13

* For full size branches. Page 12 of 30

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Resistance coefficients for

various pipe entrance and exit conditions

L K = f ( ----- )

d Head loss due to friction at exit/entrance, HL = K (V2 /2g)

Entrances

K = 0.04

Well rounded entrance

K = 0.23

Slightly rounded entrance

K = 0.5

Sharp edged entrance

K = 0.78

Inward projected pipe entrance

Exits

K = 1.0

Rounded exit

K = 1.0

Sharp edged exit

K = 1.0

Projecting pipe exit

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