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Manning's Open Channel Flow

V = (1.49/n)·R^⅔·S^½ · Uniform Flow

When to use: Manning's equation estimates the uniform (steady, normal-depth) flow velocity and discharge in an open channel or partially-full pipe. V = (1.49/n)·R^⅔·S^½ (US units), where n is the Manning roughness coefficient, R = A/P is the hydraulic radius, and S is the longitudinal channel slope. Discharge is Q = V·A. Choose the channel cross-section, enter the flow depth and geometry, and the calculator solves the wetted geometry for you.

Channel
roughness
ft/ft
Geometry
ft
ft
H:V
z:1
Discharge
196.85
cubic feet per second (cfs)
5.574 m³/s
Results
Flow Area A20.000 ft²
Wetted Perimeter P14.944 ft
Hydraulic Radius R1.338 ft
Velocity V9.842 ft/s
Flow Q196.85 cfs
References
Manning's Eq (US): V=(1.49/n)R^⅔S^½
Hydraulic radius R = A/P
Q = V·A
n: concrete 0.013, earth 0.025, riprap 0.035