Water flows uniformly 1.7 m deep in a rectangular unfinished concrete channel 4 m wide (Manning n = 0.014). The bed drops 2 m per kilometre. Use Manning’s equation in SI units to find the mean velocity V.
Open-channel flow (Manning) worksheet with answers
Water flows uniformly 1 m deep in a rectangular brickwork channel 3 m wide (Manning n = 0.015). The bed slope is S = 0.004. Use Manning’s equation in SI units to find the mean velocity V.
A trapezoidal brickwork channel has a bottom width of 3 m and side slopes of 1.5:1 (horizontal:vertical). Water flows uniformly 0.7 m deep. Manning n = 0.015 and the bed slope is S = 0.001. Find the flow rate Q in m³/s.
A rectangular grass-lined earth channel is 5.5 m wide. Water flows uniformly 0.7 m deep. Manning n = 0.03 and the bed slope is S = 0.004. Find the flow rate Q in m³/s.
A concrete sewer with an inside diameter of 250 mm (Manning n = 0.013) must reach a self-cleansing velocity of 0.9 m/s when flowing just full. Find the minimum slope S (in m/m).
A concrete sewer with an inside diameter of 600 mm (Manning n = 0.013) must reach a self-cleansing velocity of 0.9 m/s when flowing just full. Find the minimum slope S (in m/m).
Answer key
- 1. V = 3.019 m/s
- 2. V = 2.999 m/s
- 3. Q = 3.831 m³/s
- 4. Q = 5.501 m³/s
- 5. S = 0.005519 m/m
- 6. S = 0.001718 m/m
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