Hazen-Williams Flow Rate
\[Q=0.278CD^{2.63}S^{0.54}\]

Variables

Qflow rate (m³/s)
CHazen-Williams roughness coefficient (-)
Dinternal pipe diameter (m)
Shydraulic slope or head loss per unit length (-)

Description

What is this formula?


The Hazen-Williams flow rate equation estimates water flow in pressurized pipes using pipe diameter, hydraulic slope, and a roughness coefficient.


When to use it


Use this formula for irrigation pipelines, agricultural water distribution systems, and pressurized water networks where the fluid is water under normal temperature conditions.


Example


A farm irrigation pipe has:


C = 140

D = 0.10 m

S = 0.015


Formula:


Q = 0.278·C·D^2.63·S^0.54


Substitution:


Q = 0.278 × 140 × 0.10^2.63 × 0.015^0.54


Q = 0.0080 m³/s


Result:


The estimated flow rate is approximately 0.0080 m³/s, or 8.0 L/s.


Applications


- Irrigation pipeline sizing

- Agricultural water distribution

- Sprinkler irrigation systems

- Drip irrigation mainlines

- Pressurized pipe flow estimation


Note


The Hazen-Williams equation is an empirical approximation mainly valid for water flow in pressurized pipes. It is widely used in irrigation and water supply design, but it is not a universal fluid mechanics law and should not be applied to fluids with very different viscosity or extreme temperature conditions.

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