Darcy Weisbach equation (pressure loss form)
Input(s)
L: Length of the Pipe \((\mathrm{m})\)
\(\rho\): Density of Fluid \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
V: Average Velocity of the Fluid Flow, Equal to the Volumetric Flow Rate per Unit Cross-sectional Wetted Area \((\mathrm{m} / \mathrm{s})\)
L: Lift Force (Newton)
D: Hydraulic Diameter of the Pipe (for a Pipe of Circular Section, equals the Internal Diameter of the Pipe) (m)
\(\boldsymbol{f}_{\boldsymbol{D}}\): Dimensionless Coefficient Called the Darcy Friction Factor (dimensionless)
Output(s)
\(\Delta \mathrm{P}\): Pressure Loss due to Friction (m)
Formula(s)
\[
\Delta P=L * f_{D} * \frac{\rho}{2} *\left(\frac{V^{2}}{D}\right)
\]
Reference(s)
Wikipedia.org.