Reynolds number definition.
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Swamee-Jain equation for the dimensionless friction factor.
{latex}
\huge\[
{\text{f}} = \frac{{0.25}}
{{\left[ {\log \left( {\frac{\varepsilon }
{{3.7D}} + \frac{{5.74}}
{{\operatorname{Re} ^{0.9} }}} \right)} \right]^2 }}
\]
{latex}
\\
Darcy Weisbach equation for head loss.
{latex}
\huge\[
h_{\text{f}} = {\text{f}}\frac{8}
{{g\pi ^2 }}\frac{{LQ^2 }}
{{D^5 }}
\]
{latex}