Hazen Williams Equations Calculator

Hydraulics and Fluid Mechanics Formulas

Solving for hydraulic radius
hydraulic radius
Note: Valid only for ambient temperatures and turbulent flow


mean flow velocity (v)
friction coefficient (C)
hydraulic grade line slope (s)


mean flow velocity (v)
= 0
= 0
friction coefficient (C)
= 0
= 0
hydraulic grade line slope (s)
= 0
= 0


hydraulic radius (r)

Other Units:

Change Equation
Select to solve for a different unknown
Mean Fluid Velocity
mean flow velocity mean flow velocity
friction coefficient friction coefficient
hydraulic radius hydraulic radius
hydraulic grade line slopehydraulic grade line slope
Fluid Flow Rate
discharge or flow rate discharge or flow rate
friction coefficientfriction coefficient
pipe diameterpipe diameter
hydraulic grade line slopehydraulic 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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