Water flows uniformly 2.5 m deep in a rectangular unfinished concrete channel 3.5 m wide (Manning n = 0.014). The bed slope is S = 0.005. Use Manning’s equation in SI units to find the mean velocity V.
Open-channel flow (Manning) worksheet with answers
Water flows uniformly 1.6 m deep in a rectangular gravel channel 4 m wide (Manning n = 0.025). The bed slope is S = 0.0005. Use Manning’s equation in SI units to find the mean velocity V.
A concrete storm sewer with an inside diameter of 750 mm flows half full. Manning n = 0.013 and the slope is S = 0.005. Find the flow rate Q in m³/s.
A trapezoidal clean earth channel has a bottom width of 3.5 m and side slopes of 3:1 (horizontal:vertical). Water flows uniformly 2 m deep. Manning n = 0.022 and the bed slope is S = 0.002. Find the flow rate Q in m³/s.
A concrete sewer with an inside diameter of 375 mm (Manning n = 0.013) must reach a self-cleansing velocity of 1 m/s when flowing just full. Find the minimum slope S (in m/m).
A rectangular grass-lined earth channel 3.5 m wide must carry 12 m³/s in uniform flow at a depth of 1.6 m. Manning n = 0.03. Find the required bed slope S (in m/m).
Answer key
- 1. V = 5.149 m/s
- 2. V = 0.8269 m/s
- 3. Q = 0.3936 m³/s
- 4. Q = 43.04 m³/s
- 5. S = 0.003968 m/m
- 6. S = 0.005249 m/m
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