Hazen Williams Equations Formulas Calculator

Hydraulics and Fluid Mechanics

Solving for flow rate or discharge

flow rate or discharge

Note: Valid only for ambient temperatures and turbulent flow


Hazen Williams friction coefficient (C)
pipe diameter (D)
hydraulic grade line slope (s)


Hazen Williams friction coefficient (C)
pipe diameter (D)
hydraulic grade line slope (s)


flow rate or discharge (Q)

Other Units:

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Mean Fluid Velocity
mean flow velocity mean flow velocity
friction coefficient friction coefficient
hydraulic radius hydraulic radius
hydraulic grade line slope hydraulic grade line slope

Fluid Flow Rate
discharge or flow rate discharge or flow rate
friction coefficient friction coefficient
pipe diameter pipe diameter
hydraulic grade line slope hydraulic grade line slope

v  =  mean flow velocity
C  =  Hazen Williams friction coefficient 
r  =  hydraulic radius 
s  =  hydraulic grade line slope 
Q  =  flow rate or discharge
D  =  pipe diameter

Reference - Books:

1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.

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