A set of empirical correlations showing how Darcy friction factor depends on Reynolds number $\begin{array}{l}\rm Re\end{array}$ and roughness $\begin{array}{l}\epsilon\end{array}$ (see Fig. 1).

Fig. 1. Moody Chart showing how Darcy friction factor depends on Reynolds number and roughness $\begin{array}{l}\epsilon\end{array}$

Reference

Moody, L. F. (1944), "Friction factors for pipe flow", Transactions of the ASME, 66 (8): 671–684

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