Channel Flow
MANNING'S FORMULA
Q = A * 1.486/n * R2/3 * S1/2
- Q = Discharge (cu. ft./sec.)
- A = Cross-sectional Area of Flow (sq. ft.)
- n = Coefficient of Roughness
- R = Hydraulic Radius (ft.)
- S = Slope of Pipe (ft./ft.)
Hydraulic Radius
R = A / P
- R = Hydraulic Radius (ft.)
- A = Cross-sectional Area of Flow (sq. ft.)
- P = Wetted perimeter (ft.)
Area of a Trapezoid
A = B * D + [(Z1+Z2)/2] * D2
- A = Cross-sectional Area of Flow (sq. ft.)
- B = Bottom width (ft.)
- D = Depth of flow
- Z1 = Left side slope (z:1)
- Z2 = Right side slope (z:1)
Wetted Perimeter of a Trapezoid
P = B + [(Z1*D)2 + D2]1/2 + [(Z2*D)2 + D2]1/2
- P = Wetted perimeter (ft.)
- B = Bottom width (ft.)
- D = Depth of flow
- Z1 = Left side slope (z:1)
- Z2 = Right side slope (z:1)
| Material | Manning's n |
|---|---|
| Metals | |
| Brass | 0.011 |
| Cast Iron | 0.013 |
| Smooth Steel | 0.012 |
| Corrugated Metal | 0.022 |
| Non-Metals | |
| Glass | 0.010 |
| Clay Tile | 0.014 |
| Brickwork | 0.015 |
| Asphalt | 0.016 |
| Masonry | 0.025 |
| Finished Concrete | 0.012 |
| Unfinished Concrete | 0.014 |
| Gravel | 0.029 |
| Earth | 0.025 |
| Planed Wood | 0.012 |
| Unplaned Wood | 0.013 |
| Corrugated Polyethylene (PE) with smooth inner walls | 0.009-0.015 |
| Corrugated Polyethylene (PE) with corrugated inner walls | 0.018-0.025 |
| Polyvinyl Chloride (PVC) with smooth inner walls | 0.009-0.011 |
| Excavated Earth Channels | |
| Clean | 0.022 |
| Gravelly | 0.025 |
| Weedy | 0.030 |
| Stony, Cobbles | 0.035 |
| Natural Streams | |
| Clean and Straight | 0.030 |
| Major Rivers | 0.035 |
| Sluggish with Deep Pools | 0.040 |
| Floodplains | |
| Pasture, Farmland | 0.035 |
| Light Brush | 0.050 |
| Heavy Brush | 0.075 |
| Trees | 0.15 |
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