Darcy-Weisbach · Colebrook-White · Crane TP-410 Fitting Losses · Gas & Liquid
Understand Darcy-Weisbach, Moody diagram, equivalent length method, and piping design criteria
Pressure drop in a pipe is calculated using the Darcy-Weisbach equation: dP = f * (L/D) * (rho * V^2 / 2), where f is the Darcy friction factor from the Colebrook-White equation, L is pipe length, D is internal diameter, rho is fluid density, and V is flow velocity. Fitting losses are added using K-factors from Crane TP-410.
The Colebrook-White equation is an implicit formula for calculating the Darcy friction factor in turbulent pipe flow: 1/sqrt(f) = -2*log10(e/(3.7*D) + 2.51/(Re*sqrt(f))). It accounts for both pipe roughness and Reynolds number and is solved iteratively. It forms the basis of the Moody diagram.
K-factors (resistance coefficients) represent the pressure loss through pipe fittings expressed as a number of velocity heads. For example, a standard 90-degree elbow has K = 0.9, a tee (branch flow) has K = 1.8, and a gate valve (fully open) has K = 0.2. These values come from Crane Technical Paper 410.