Example. A 3-m wide channel carries a total discharge of 12 m³ s¹. Calculate: the critical depth; the minimum specific energy; (a) (b)
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- 1. In a 3.0 m wide rectangular channel, the discharge is 15.0 m⅔. Calculate the critical depth and the specific energy for the flow in the channel.Determine the maximum flow in a rectangular channel 6m wide if the specific energy is 4 Nm/m.A rectangular channel 4 m wide has a depth of 2.5 m at a flow rate (discharge) of 12 m^3/s. Draw a specific energy diagram for the current flow conditions and determine whether the flow is sub-critical or super-critical ?
- A rectangular open channel, with a constant discharge of 32m3/s, has a smooth expansion from (1) to (2) as shown in figure Q2 in the flow direction. At (1) the channel is 3.6m wide and the water depth is 2.4m . At (2) the water depth is 0.8m. Calculate the minimum energy of the flow at (1).A trapezoidal canal has a bottom width of 6m a side slope of 1:1. It carries a discharge of 12 cu.m./s. Determine the minimum specific energy in meters. A rectangular channel 2 m wide carries 2.2 cu.m./s of water. Compute the minimum specific energy in meters.A dam 40m high has a spillway discharging at 2m deep and a crest length of 10m. If Cw = 3.2, find the discharge in cubic meters per second.
- A wide rectangular channel excavated from clean earth with n=0.013 carries a unit of discharge of 4 m3/s per meter. a. Determine the critical depth. b. Determine the minimum specific energy in m. c. If the depth of flow is 1m, calculate the slope of energy line for normal flow conditions.Determine the total energy production of a run-of-river plant having an total efficiency of 85%. It receives flow by means of a penstock, 400m long with 1.2m diameter, and f=0.015 in Darcy-Weisbach equation. The available head is 200m and seasonal fluctuations of upstream and downstream water levels are ignored. The flow duration data are tabulated as below.Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having adiameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point inbetween A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as watertravelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second.
- To prevent downstream flooding, the maximum flow to be released from the catchment is set at 273 m^3/s. Calculate the space needed to store the excess water in this event (in m^3).A pipeline leads from one reservoir to another which has a water surface 10 m lower.For a discharge of 1.0 m^3/s, determine the head loss kW.A rectangular channel of 2.5 m widthis carrying a discharge of 4 m³/s. Considering that acceleration due to gravity as 9.81 m/s2, the velocity of flow (in m/s) corresponding to the critical depth (at which the specific energy is minimum) is