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See Surface roughness for more data on typical values for various materials and processing conditions.


The most popular universal full-range model of Darcy friction factor is:

LaTeX Math Block
anchorfD
alignmentleft
\begin{cases}
f = 64/\mbox{Re}, & \mbox{if  Re}<2,100
\\f = 64/ a + b \cdot \mbox{Re}, & 2,100 < \mbox{if  Re}<4,100 
\\f = f_{CW}(), & \mbox{if  Re}>2,100
\end{cases}

where

LaTeX Math Inline
body--uriencoded--f_%7BCW%7D(\mbox%7BRe%7D, \epsilon)

Colebrook–White correlation

LaTeX Math Inline
body--uriencoded--\displaystyle b = \frac%7B f_%7BCW%7D( \mbox%7BRe%7D =4,000, \, \epsilon) -0.03%7D%7B1,900%7D


LaTeX Math Inline
bodya=0.03 - 2,100 \cdot b



See also

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Physics / Fluid Dynamics / Pipe Flow Dynamics / Darcy–Weisbach equation / Darcy friction factor 

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