diagrama de moody

10 3 10 4 10 5 10 6 10 7 10 8 10 -2 10 -1 8 9 1.2 1.4 1.6 1.8 2 2.5 3 3.5 4 4.5 5 5.5 6 7 8 9 678 2 3 4 5 678 2 3 4 5 678 2 3 4 5 678 2 3 4 5 678 2 3 4 5 678 1e-005 2e-005 5e-005 0.0001 0.0002 0.0004 0.0006 0.0008 0.001 0.0015 0.002 0.003 0.004 0.006 0.008 0.01 0.0125 0.015 0.0175 0.02 0.025 0.03 0.035 0.04 0.045 0.05 0.06 0.07 Laminar flow Critical zone Transition zone Complete turbulence, rough pipes, R > 3500/r, 1/√f = 1.14 - 2 log r → → ← ← Reynolds number R (V in m/s, D in m, ν in m 2 /s) VD ν Darcy-Weisbach friction factor f 2hDg LV 2 Relative roughness r (ε in mm, D in mm) ε D Moody Diagram Metzger & Willard, Inc. http://www.metzgerwillard.com r = 5e-006 r = 1e-006 Smooth pipes, r = 0 1/√f = 2 log(R √f ) - 0.8 Hagen-Poisseuille equation R ≤ 2300, f = 64/R Colebrook equation, R ≥ 2300 1/√f = -2 log(r /3.7 + 2.51/(R √f )) Continuity equation, Q = AV A = π D 2 /4, V = 4Q /(π D 2 ) __ __ __ __ __ VD for water at 20°C (V in m/s, D in cm) 0.06 | | 0.1 | 0.2 | 0.4 | 0.6 | 0.8 | 1 | 2 | 4 | 6 | 8 | 10 | 20 | 40 | 60 | | 100 | 200 | 400 | 600 | | 1000 | 2000 | 4000 | 6000 | | 10000 | ____________________________________________________________________________________________________________________________________________________________________________________________________ VD for atmospheric air at 20°C 1 | 2 | 4 | 6 | 8 | 10 | 20 | 40 | 60 | | 100 | 200 | 400 | 600 | | 1000 | 2000 | 4000 | 6000 | | 10000 | 20000 | 40000 | 60000 | | 100000 | Material Riveted steel Concrete Wood stave Cast iron Galvanized iron Asphalted cast iron Commercial steel Drawn tubing ε (mm) 0.9-9 0.3-3 0.18-0.9 0.25 0.15 0.12 0.046 0.0015 Fluid at 20°C Water Air (101.325 kPa) ν (m 2 /s) 1.003e-006 1.511e-005 Latitude (WGS84) Sea level Standard Sea level 0.0 45.5 90.0 ° ° ° g (m/s 2 ) 9.78033 9.80665 9.83219

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Diagrama de Moody para hallar F en pérdidas de energía en tuberías

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103 104 105 106 107 108

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101

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6 7 8 2 3 4 5 6 7 8 2 3 4 5 6 7 8 2 3 4 5 6 7 8 2 3 4 5 6 7 8 2 3 4 5 6 7 81e005

2e005

5e005

0.0001

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0.00060.00080.001

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0.006

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0.01250.0150.01750.02

0.025

0.030.0350.040.0450.05

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0.07

Laminarflow

Criticalzone

Transition zone Complete turbulence, rough pipes, R > 3500/r, 1/f = 1.14 2 log r

Reynolds number R (V in m/s, D in m, in m 2/s)VD

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Moody Diagram Metzger & Willard, Inc.http://www.metzgerwillard.com

r = 5e006

r = 1e006

Smooth pipes, r = 01/f = 2 log(R f ) 0.8

HagenPoisseuille equationR 2300, f = 64/R

Colebrook equation, R 23001/f = 2 log(r /3.7 + 2.51/(R f ))

Continuity equation, Q = AV

A = pi D 2/4, V = 4Q /(pi D 2)

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__ __

__ __

VD for water at 20C (V in m/s, D in cm)0.06| | 0.1| 0.2| 0.4| 0.6| 0.8| 1| 2| 4| 6| 8| 10| 20| 40| 60| | 100| 200| 400| 600| | 1000| 2000| 4000| 6000| | 10000|

____________________________________________________________________________________________________________________________________________________________________________________________________

VD for atmospheric air at 20C1| 2| 4| 6| 8| 10| 20| 40| 60| | 100| 200| 400| 600| | 1000| 2000| 4000| 6000| | 10000| 20000| 40000| 60000| | 100000|

Material

Riveted steelConcreteWood staveCast ironGalvanized ironAsphalted cast ironCommercial steelDrawn tubing

(mm)

0.990.330.180.90.250.150.120.0460.0015

Fluid at 20C

WaterAir (101.325 kPa)

(m2/s)

1.003e0061.511e005

Latitude (WGS84)

Sea level Standard Sea level

0.045.590.0

g (m/s2)

9.780339.806659.83219