Reynolds number definition.
Swamee-Jain equation for the dimensionless friction factor.
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\huge[
{\text{f}} = \frac{{0.25}}
{{\left[ {\log \left( {\frac
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3.7D + \frac{{5.74}}
{{\operatorname
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^
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}}} \right)} \right]^2 }}
]
Darcy Weisbach equation for head loss.
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\huge[
h_{\text{f}} = {\text{f}}\frac
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{{g\pi ^2 }}\frac{{LQ^2 }}
{{D^5 }}
]