Hazen-Williams Equation Hydraulic Grade

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

This hydraulic grade formula is used in Hazen-Williams equations and the coefficient formula.

Hazen-Williams Equation Hydraulic Grade formula

(Eq. 1)  \(\large{ m =   \left(     \frac {v} { 1.318C   r^{0.63} } \right)   ^{\frac {1}{0.54} }  }\)

(Eq. 2)  \(\large{ m =   \left(     \frac {Q} { 0.285C     d^{2.63} } \right)   ^{\frac {1}{0.54} }  }\)

Where:

\(\large{ m }\) = hydraulic grade line slope

\(\large{ Q }\) = flow rate

\(\large{ d }\) = inside pipe diameter ID

\(\large{ C }\) = Hazen-Williams Coefficient

\(\large{ r }\) = hydraulic radius

\(\large{ v }\) = mean flow velocity

 

Tags: Equations for Open Channel Equations for Hazen-Williams