Pipe Network — Hardy-Cross Back EN · ZH
Pipe Network

Pipe Network Calculator — Hardy-Cross Method

Two-loop pipe network flow distribution using Hardy-Cross iteration. Darcy-Weisbach head loss, Colebrook-White friction factor, Re, and convergence error in real time.

Network Parameters
Presets
Fluid temperature 20 °C
Inflow Q_in 0.050 m³/s
Pipe settings (7 pipes)
Pipe L [m] D [mm] ε [mm]
Iterations to converge
Flow error ΔQ [m³/s]
Max head loss [m]
Max Re
Pipe Q [m³/s] V [m/s] Re f h_f [m]

Theory

Hardy-Cross flow correction per loop:

$$\Delta Q = -\frac{\sum h_f}{\sum n \cdot h_f / Q}, \quad n=2$$

Darcy-Weisbach head loss:

$$h_f = f\,\frac{L}{D}\,\frac{V^2}{2g}$$

Colebrook-White friction factor:

$$\frac{1}{\sqrt{f}} = -2\log\!\left(\frac{\varepsilon}{3.7D} + \frac{2.51}{Re\sqrt{f}}\right)$$

Laminar (Re < 2300): $f = 64/Re$

CAE applications: Preliminary flow balancing for water distribution mains and industrial piping · Sprinkler and cooling loop flow distribution estimates · Pre-CFD hand-calculation verification before EPANET or pipesim runs.