Water flows uniformly 0.4 m deep in a rectangular unfinished concrete channel 5 m wide (Manning n = 0.014). The bed slope is S = 0.003. Use Manning’s equation in SI units to find the mean velocity V.
Open-channel flow (Manning) worksheet with answers
Water flows uniformly 1.4 m deep in a rectangular finished concrete channel 3 m wide (Manning n = 0.012). The bed slope is S = 0.003. Use Manning’s equation in SI units to find the mean velocity V.
A concrete storm sewer with an inside diameter of 450 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 grass-lined earth channel has a bottom width of 5.5 m and side slopes of 2:1 (horizontal:vertical). Water flows uniformly 0.5 m deep. Manning n = 0.03 and the bed slope is S = 0.0005. Find the flow rate Q in m³/s.
A concrete sewer with an inside diameter of 200 mm (Manning n = 0.013) must reach a self-cleansing velocity of 0.6 m/s when flowing just full. Find the minimum slope S (in m/m).
A concrete sewer with an inside diameter of 450 mm (Manning n = 0.013) must reach a self-cleansing velocity of 0.6 m/s when flowing just full. Find the minimum slope S (in m/m).
Answer key
- 1. V = 1.924 m/s
- 2. V = 3.681 m/s
- 3. Q = 0.1008 m³/s
- 4. Q = 1.359 m³/s
- 5. S = 0.003303 m/m
- 6. S = 0.00112 m/m
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