A sluice gate in a 2.0 m wide horizontal rectangular channel is discharging freely as shown in figure. If the depths at a small distance upstream (y,) and downstream (₂) are 2.5 m and 0.20 m respectively, estimate the discharge in the channel (i) by neglecting energy losses at the gate and (ii) by assuming the energy loss at the gate to be 10% of the upstream depth y₁. Y₁ 1 2
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- At Point A, in a pipeline carrying water (y=62.4 Ib/ft^3) the diameter is 4.0 ft, the pressure is 10 psi, and the velocity 4 ft/s. At point B, 6ft higher than point A, the diameter is 2 ft and the pressure is 2psi.determine the following:(a)quantify the losses in this system and (b) is the flow going from Point A to Point B or from point B to point A. why?A conduit is carrying oil ( S = 0.75 ) and its absolute viscosity is 0.25 kg / m-s. If the flow rate is 0.45 cu.m/s Determine the following • The entrance length • The length of the inviscid cone • The length of the profile development given the following situations 1. Circular pipe 800mm 2. rectangular pipe (Width = 800mm, Depth 1200mm)Determine the kinetic energy correction coefficient for the compound channel shown in Figure 2.1 below. Im V,=0.5m/s V,=0.3m/s 20m 22m 3m Figure 2.1 4m V,=1.5m/s
- (4) A reservoir discharges through a steel pipeline, which is 910 mm diameter, 2500 m long and has wall thickness 32 mm. Water is flowing along the pipe at a steady mean velocity 2.5 ms'. (a) Calculate the speed of water hammer waves in the pipe. (b) Calculate the rise of pressure which would occur if the flow through the pipe were reduced rapidly to zero due to a failure of the turbine at the downstream end of the pipe. (c) Describe the sequence of events which follows this sudden closure, giving the times and pressure where appropriate, assuming that cavitation does not occur and neglect any other friction losses. (d) To protect the turbine, a surge tank is installed at the downstream end of the pipe, before the turbine (as shown in Figure 2). The surge tank is a simple cylinder, which has a diameter four times that of the pipe. How does the velocity in the surge tank relate to the velocity in the pipe in the event of a sudden closure?23. The ratio of the momentum correction factor to the energy correction factor for a laminar flow in a pipe is (a) m/a alm (c) 23/ (b) 1 (d) 2Find the discharges in pipes 1, 2, and 3 in the reservoir system shown. The junction loss occurs for both flow from 1 to 3 or from 2 to 3. 50 m D; =0.3m L = 200m 20 m & =1mm D =0.5m 4=500m 4=1 mm p=999.1kg/m u=0.001139 kg / ms K=0.5 Kes =1 D=0.9m L =800 m Jnction Om 6=1mm
- Q3. A 200 mm diameter well which fully penetrating a confined aquifer of thickness 25 m is pumped at a constant rate of 2000 m3/day. The steady state drawdown in the well is 8 m and the drawdown in a piezometer 100 m from the well is 1.4 m.(a) Ignoring well losses, calculate the transmissivity of the aquifer, the hydraulic conductivity of the aquifer material and the radius of influence of the well.(b) Repeat the calculation for an unconfined aquifer with saturated thickness 25 m2. In an unconfined aquifer, the drawdown is 2m at a radial distance of 9m from a well after two hours of pumping. Based on Theis' non-equilibrium equation, determine the pumping time for the same drawdown at radial distance of 22 from the well.Seepage is occurring through a porous media shown in the figure. The hydraulic conductivity values (k,, k2, kg) are in m,/day. 00 Imprevious 个 15m P k, = 2 k, 3 10m 3m kg = 1 13m + 20m 10m 20m 10m The seepage discharge (m/day per m) through the porous media at section PQ is
- Problem: Three pipes of different length and diameters connected in series as shown discharges 160 liters per second. If the roughness coefficient n = 0.012 and disregarding minor losses. Determine the head loss in pipe 2. A (1) B (2) (3) D 450 тто, 180 m 300 тто, 1500 т 250 тто, 800 тQ(1): A horizontal rectangular stilling basin is used at the outlet of a spillway to dissipate energy. The spillway discharges 13m'/s and has a uniform width of 12m. At the point where the water enters the basin, the velocity is 10m/s, compute: • The sequent depth of the hydraulic jump, The length of the stilling basin, • The energy loss in the jump, • The efficiency of the jump (the ratio of specific energy after to the specific energy before the hydraulic jump, • If the thickness of the basin is 0.75m, and the sieve analysis for the site soil indicate the d50 is 0.05mm, are the requirements of scour design satisfied or not?The loss of energy head in a hydraulic jump formed in a rectangular channel is (4.25 m). Froude number just before the jump is (7.5). find a-The discharge per meter width of the channel b-The power loss per meter width of the channel c-The length of the jump d-Type of the jump