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As an equation for water flow rate in a pipe, the hydraulic radius is R = A/P = (πD2/4)/(πD) = D/4 and Q = VA = V(πD2/4).
Substituting these equations into those for velocity give the following for the Hazen Williams equation:
in U.S. units:Q = 193.7 C D2.63S0.54, where:
Q is the water flow rate in the pipe, gal/min (gpm) D is the pipe diameter, ft C and Sare the same as defined above
in S.I. units:Q = 0.278 C D2.63S0.54, where the parameters are as defined above with Q in m3/s and D in meters.
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