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| LaTeX Math Block |
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| f = \frac{64}{\rm Re} \cdot \Phi |
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| LaTeX Math Block |
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| anchor | Chirchil |
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| alignment | left |
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| \Phi = \left[ 1+ \frac{\left(\rm Re / 8 \right)^{12} }{ \left( \Theta_1 + \Theta_2 \right)^{1.5} } \right]^{1/12} |
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| LaTeX Math Block |
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| \Theta_1 = \left[ 2.457 \, \ln \left( \left( \frac{7}{\rm Re} \right)^{0.9} + 0.27 \, \frac{\epsilon}{d} \right) \right]^{16} |
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| LaTeX Math Block |
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| \Theta_2 = \left( \frac{37530}{\rm Re} \right)^{16} |
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Cheng full range model
| LaTeX Math Block |
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| f = \frac{64}{\rm Re} \cdot \Phi |
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| LaTeX Math Block |
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| \Phi = \left( \frac{{\rm Re}}{64} \right)^{1-a}
\cdot \left( 1.8 \cdot \ln \frac{{\rm Re}}{6.8} \right)^{-2 \,(1-a)\,b}
\cdot \left( 2.0 \cdot \ln \frac{3.7}{\epsilon/d} \right)^{-2 \,(1-a)\,(1-b)} |
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See also
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Physics / Fluid Dynamics / Pipe Flow Dynamics / Darcy–Weisbach equation / Darcy friction factor
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