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body | --uriencoded--f_%7BCW%7D(\mbox%7BRe%7D, \epsilon) |
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| Colebrook–White correlation |
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body | --uriencoded--\displaystyle k = \frac%7B f_%7BCW%7D( \mbox%7BRe%7D =4,000, \, \epsilon) -0.03048%7D%7B1,900%7D |
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| interpolation multiplier between laminar and turbulent flow regimes |
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| f = \frac{64}{\rm Re} \cdot \Phi |
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| \Phi = \left( \frac{{\rm Re}}{64} \right)^{1-a}
\cdot \left( 0.75 \cdot \ln \frac{{\rm Re}}{5.37} \right)^{-2 \,(1-a)\,b}
\cdot \left( 0.83 \cdot \ln \frac{3.41}{\epsilon/d} \right)^{-2 \,(1-a)\,(1-b)} |
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| a = \left[ 1+ \left( \frac{{\rm Re}}{2712} \right)^{8.4} \right]^{-1} |
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| b = \left[ 1+ \left( \frac{{\rm Re} \cdot \epsilon/d}{150} \right)^{1.8} \right]^{-1} |
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Moody’s Friction Factor Calculator @ gmallya.com
Vasilis Bellos; Ioannis Nalbantis; and George Tsakiris, Friction Modeling of Flood Flow Simulations , J. Hydraul. Eng., 2018, 144(12): 04018073