A hydroelectric power plant operates under a discharge of 500 cfs with 90 % turbine efficiency. The overall head loss is 1.5 times the velocity head in the 7-ft-diameter penstock. With the conditions stated, determine the following: (a.) the power input (hp) to the turbine, and (D.) the power output (hp) expected from the turbine.
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- A powerhouse is equipped with impulse turbines of Pelton type. Each turbine delivers a power of 14 MW when working under a head of 900 m and running at 600 rpm. Find the diameter of the jet and the mean diameter of the wheel. Assume that overall efficiency is 89%, velocity coefficient of jet 0.98, and speed ratio 0.46. (Answer: 132 mm, 1.91 m; respectively)Reservoirs A and B have elevations 250 m and 100 m, respectively, and are connected by a pipe having a diameter of 250 mm and a length of 250 m. A turbine is installed at a point in between reservoirs A and B. The discharge in the pipeline is 140 L/s. If the head loss in the pipe due to friction is 8.55 m, which of the following most nearly gives the power generated by the turbine?Two reservoirs A and B have elevations of 250m and 100m respectively. It is connected by a pipe having a diameter of 250mm and a length of 100m. A turbine is installed at point in between reservoirs A and B. If C = 120, compute the following if the discharge flowing in the pipeline is 150 liters/sec. Compute the power generated by the turbine.
- A small hydro electric power plant utilizing two (2) Pelton turbines and a single main penstock serving water to two nozzles for respective turbines. If both turbines are operated at the same time with same efficiency of 92% under the same net head of 2314 ft, same speed of 360 rpm and same flow rate. Determine the specific speed if the flow rate in the main penstock is 263 ft3 /s.2. A turbine is to operate under a head of 25 m at 200 r.p.m. and discharge of 9 cumec. If the efficiency of the turbine is 90%, determine the speed and ouput under the head of 20 m.Total head (energy) is constant along a pipe system and is 25 m. At Point B, the flow rate is 1.2 m3/s where the rectangular pipe has a height of .5 m and a width of .4 m. What is the static head at Point B, in m?
- Reservoirs A and B have elevations 250 m and 100 m, respectively, and are connected by a pipe having a diameter of 250 mm and a length of 250 m. A turbine is installed at apoint in between reservoirs A and B. The discharge in the pipeline is 140 L/s. If the head loss in the pipe due to friction is 8.55 m, which of the following most nearlygives the power generated by the turbine? A. 215.56 Kw B. 194.27 Kw C. 235.16 Kw D. 180.50 kwThe difference of elevation between the top of the water of the two reservoirs is 125m. If the top of the water of reservoir B has an elevation of 25m and in between the two reservoirs there is a pump- turbine with a design flow rate in both directions of 120 cubic meter per minute and a head loss due to friction of 15m and an efficiency of 75% for both pump and turbine, Determine the ff: a. the power output by the turbine to draw water from the upper reservoir to produce power to a city and b. the power required by the pump, to pump water from the lower reservoir to the upper reservoir to restore energy to the upper reservoir.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.
- At a potential hydro-plant site, the average elevation of headwater is 582m, the tailwater is 480m. The average annual water flow was determined to be equal to that volume flowing through a rectangular channel 8.15m wide, a depth of 1.22m and the velocity is 4.6m. The turbine efficiency is 87%, generator efficiency is 95%, and a head loss is 3.5% of the gross head. Find the following: a. the generator power in kW 44,150 28,206 36,490 b. the annual energy (kWH per year) that can be produced if the plant operation is 345 days per year 235,154,731 302,142,714 244,334,189 c. the annual income of the plant if the cost of the energy produced is P0.60 per kW-hr 141,092,838 181,285,628 162,653,256Pump BC delivers water to reservoir F and the hydraulic gradeline is shown in the figure. Determine :A). The power supplied to the water by pump BCB). The power removed by turbine DE andC). The elevation maintained in reservoir F.A 24 in. pipe conducts water from reservoir A to a pressure turbine (elev. = 20'), which discharges through another 24 in. pipe into tailrace B (elev. = 5'). The loss of head from A to 1 is 5 times the velocity head in the pipe and the loss of head from 2 to B is 0.2 times the velocity head in the pipe. What must water surface elevation at the reservoir be maintained such that the energy given up in the turbine is 555 hp? Assume discharge equals 30 cfs. Also, draw the H.G.L. and the E.G.L. Express all dimensions in English units.