User:Garethdennis/Sandbox


 * $$ {\mathbf \mathrm v}= -2 \sqrt{2g \cdot D \cdot S_\mathrm{f} } \log \left( \frac { k_\mathrm{s}}{3.7D} + \frac {2.51\nu} {D \sqrt{ 2g \cdot D \cdot S_\mathrm{f} } } \right)$$


 * $$ \mathrm{Re} = {{\rho \cdot {\mathbf \mathrm v} \cdot D} \over {\mu}}$$


 * $$ \lambda\,\!= 0.0055 \left[ 1 + \left( \frac{20000 \cdot k_\mathrm{s}}{D} + \frac{10^6}{\mathrm{Re}} \right) ^ \frac{1}{3} \right]$$


 * $$h_f = \lambda \cdot \frac{L}{D} \cdot \frac{{\mathbf \mathrm v}^2}{2g}$$