2. A channel 5m wide at the top and 2m deep has sides sloping 2 vertically in 1 horizontally. The slope of the channel is 1 in 1000. Find the volume rate of flow when the depth of water is constant at 1m. Take c = 53 in si units. What will be the depth of water if the flow were to be doubled? [ q = 4.79m3 /s, h = 1.6m]
Assignment
1. Derive from first principle the chezy equation for uniform flow.
2. A channel 5m wide at the top and 2m deep has sides sloping 2 vertically in 1 horizontally.
The slope of the channel is 1 in 1000. Find the volume rate of flow when the depth of water
is constant at 1m. Take c = 53 in si units. What will be the depth of water if the flow were to
be doubled? [ q = 4.79m3
/s, h = 1.6m]
3. A trapezoidal channel is to be designed to carry 280m3/minute of water. Determine the
cross – sectional dimensions of the channel if the slope is 1 in 1600, side slopes 45o
and the
cross – section is to be a minimum, take c = 50 in si units. [h = 1.53m, b = 1.27m]
4. A 2.0m diameter concrete pipe on a slope of 0.005 is to carry water at a normal depth of
1.5m. Determine the flow velocity and flow rate. Take n=0.014. Also determine q when
ho=0.75 and h=1.0m
5. Prove that the best hydraulic section for a rectangular channel
6. Determine the best section for a semi-circular cross section.
7. Find the best dimension for a rectangular channel to carry a flow of 0.5m3
/s at a velocity of
1.2m2
/s.
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