Empirical Empirical implicit correlation for Darcy friction factor
in non-smooth pipelines
which works for non-
laminar (
) flow:
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\frac{1}{\sqrt{f}} = -2 \, \log \left( \frac{\epsilon}{3.7 \, d} + \frac{2.51}{{\rm Re} \sqrt{f}} \right) |
where
There are numerous explicit approximations of Colebrook–White correlation, particularly (Monzon, Romeo, Royo, 2002):
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f = 0.25 \, \left[ \log \left( \frac{\epsilon / d}{3.7065} - \frac{5.0272}{\rm Re} \log \Lambda \right) \right]^{-2} |
where
– is dimensionless parameter:| LaTeX Math Block |
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\Lambda = \frac{(\epsilon/d)}{3.827} - \frac{4.657}{\rm Re} \log \Bigg[ \bigg( \frac{\epsilon/d}{7.7918} \bigg)^{0.9924} + \bigg( \frac{5.3326}{208.815+Re} \bigg)^{0.9345} \Bigg] |
See also
...
Physics / Fluid Dynamics / Pipe Flow Dynamics / Darcy–Weisbach equation / Darcy friction factor / Darcy friction factor @model
[ Surface roughness ]
References
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Colebrook, C. F. 1939. “Turbulent flow in pipes, with particular reference to the transition between the smooth and rough pipe laws.” J. Inst. Civ. Eng. 11 (4): 133–156, doi.org/10.1680/ijoti.1939.13150
