A sluice gate in a 2.0 m wide horizontal rectangular channel is discharging freely. If the depths of a small distance upstream, y₁, and a downstream, y2, are 2.5 m and 0.20 m, respectively, estimate the discharge in the channel by 1) neglecting energy losses at the gate, and 2) by assuming the energy loss at the gate to be 10% of the upstream flow depth y₁. Ans: Dl Y₁ = 2.5 m y₂ = 0.2 m

Consider a 20-ft wide rectangular channel with a Manning's n value of 0.03. The channel has a discharge of 200 cubic feet per second at a uniform flow (normal) depth of 2 ft. A sluice gate at the downstream end of the channel controls the flow depth just upstream of the gate to a depth z. Determine the depth z so that a hydraulic jump is formed just upstream of the gate. What is the head loss (energy loss) in the hydraulic jump?

A rectangular channel flows at a rate of 1m3/s, if the specific energy before the jump is 2.5m and the depth after the jump is 2m. Determine the width if the channel if loss due to hydraulic jump is 0.30m.

(b) A vertical sluice gate with an opening of 0.67 m produces a downstream jet with a depth of 0.4 m when installed along a rectangular channel, 0.5 m wide, conveying a steady discharge of 20 m3/sec. It is assumed that the flow downstream of the gate eventually returns to a uniform flow depth of 2.5 m. (i) Calculate the energy-head loss in the jump. (ii) What are the conjugate depths of this hydraulic jump (initial and sequent depths). (c) Identify and sketch the Gradually Varied Alow (GVF) profile in three slopes which could be described as mild, critical, and milder respectively. The three slopes are in series.

3.Consider a system with a specific discharge of 3 m2/s as shown in Figure 2. Thedepth, y1, upstream of the step is 2 meters. The downward step height is 0.2 meters. (a) Determine the Froude number of upstrem and downstrem of flow(b) Determine the upstream and downstream specific energy, E.

For the rectangular channel below, what is the flow depth right before the hydraulic jump (the smallest flow depth shown in the figure)? Flow depth upstream of the spillway is 9.6 m and discharge per width of the channel is 1.1 m2/s. Assume negligible energy loss over the spillway.Choose one: 0.08 m 9.6 m 6.24 m 0.02 m

1. Find the flow rate out of reservoir A. 2. Find the flow rate towards reservoir C. 3. What is the elevation of reservoir C.

A pump draws water (SG=0.998) from reservoir A and transport it to reservoir B, with the static Suctionhead 8m and static discharge head of 28 m. The diameter of the suction pipe is 15.24 cm, and the diameter of the discharge pipe is 4 in. The total head loss from A to B is 25% of TDH, and the head loss at the discharge line is 90% of the total headloss. If the pump capacity is 60 Ips, determine the following:a. Pump Break power if the efficiency is 82% b. Reading of the pressure gauge installed at the suction flange of the pump C. Reading of the pressure gauge installed at the discharge flange of the pump

b. Figure 3.2 is the flow of a channel having a large width, b, under a sluice gate. Assuming frictionless steady flow with negligible upstream kinetic energy, derive a formula for the dimensionless flow ratio Q? (y2 b2 g) as a function of the ratio2/y, . Show by differentiation that the maximum flow rate occurs at Y2 = 5V, Gate V2 Figure 3.2 : A Schematic diagram of flow downstream of sluice gate

PROBLEM 1 The total discharge in the system below is 15.5 cfs and the head loss from B to Cis 24 ft. Using n = 0.011 for all pipes, determine the following: (a) flow rate Q2 (cfs) through pipe 2, (b) flow rate Qs (cfs) through pipe 3, (c) flow rate Qa (cfs) through pipe 4, 2000 ft 12 in (d) head loss hu (ft) in pipe 1, and (e) head loss his (ft) in pipe 5. 3000 ft 1500 ft 4000 ft 30 in 10 in 24 in A D 2500 ft 15 in