Hydraulics2D

Flow in Pipes: Fundamentals & Losses - Theory & Concepts - Moody Chart

Laminar and turbulent flow, Reynolds number, friction factor, and calculation of head loss in pipes.

Moody-Chart Friction Factor

Reynolds number1.000e+5

10³10⁸

Relative roughness,

\varepsilon/D

1.000e-3

10⁻⁵5×10⁻²

Flow regime

Turbulent

Darcy friction factor

0.021966

Fanning factor = 0.005492

\frac{1}{\sqrt{f_D}}\approx-1.8\log_{10}\left[\left(\frac{\varepsilon/D}{3.7}\right)^{1.11}+\frac{6.9}{Re}\right]

The calculator reports the Darcy factor used in $h_f=f_D(L/D)V^2/(2g)$ . Some heat-transfer references use the Fanning factor, which is exactly one quarter of the Darcy value. The Haaland relation is an explicit approximation to Colebrook–White for turbulent flow.

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Moody-Chart Friction Factor

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