Darcy–Weisbach equation
In fluid dynamics, the Darcy–Weisbach equation is a phenomenological equation, which relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid. The equation is named after Henry Darcy and Julius Weisbach.
The Darcy–Weisbach equation contains a dimensionless friction factor, known as the Darcy friction factor. This is also called the Darcy–Weisbach friction factor, resistance coefficient, or simply friction factor.
Pressure loss form
In a cylindrical pipe of uniform diameter D, the pressure loss due to viscous effects Δp is proportional to length L and can be characterized by the Darcy Weisbach equation:
where the loss per unit length Δp/L (SI units Pa/m) is a function of:
the density of the fluid ρ (kg/m3);
the length of the pipe L (m);
the hydraulic diameter of the pipe D (for a pipe of circular section, this equals the internal diameter of the pipe) (m);
the mean flow velocity V, experimentally measured as the volumetric flow rate Q per unit cross-sectional wetted area (m/s);