Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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The flow of a river is 150 cubic feet per second at a site where a 75 feet hydrostatic head canbe created by the erection of a dam. What is the potential capacity (in kW) of a hydroelectricpower plant if installed at this site? Consider that hydraulic efficiency of energy conversioncan be 80%, and that the electric efficiency can be 90%.
Question 4:
The three gorges dam is rated at maximum output. If its generating efficiency is 90 % and
its head is 81 m what is the rate of flow in (kg/s) of water through its turbines at
maximum output.
A hydroelectric power plant takes in 30 m^3/s of water through its turbine and discharges it to the atmosphere at 2 m/s. The head loss in the penstock is 20 m.
Estimate the power extracted by the turbine in megawatts.(Please round-off final answers to the nearest whole number)
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- A hydroelectric power plant takes in 30 m^3/s of water through its turbine and discharges it to the atmosphere at 2 m/s. The head loss in the penstock is 20 m. Estimate the power extracted by the turbine in megawatts.arrow_forward8-147 In a hydroelectric power plant, water at 20°C is supplied to the turbine at a rate of 0.55 m³/s through a 200-m-long, 0.35-m-diameter cast iron pipe. The elevation difference between the free surface of the reservoir and the tur- bine discharge is 140 m, and the combined turbine-generator efficiency is 85 percent. Disregarding the minor losses because of the large length-to-diameter ratio, determine the electric power output of this plant.arrow_forwardAt a proposed hydroelectric power plant site, the average elevation of headwater is 600m and the tailwater elevation is 480m. The average annual water flow is determined to be equal to that volume flowing through a rectangular channel 4m wide and 0.5m deep and average velocity of 5.5m/s. Assuming the plant will operate 350 days/year, find the energy kwh that the plant site can developed if the hydraulic turbine that will be used has an efficiency of 78% and generator efficiency of 90%. Consider a headwork loss of 4% of the available head.arrow_forward
- In a hydroelectric power plant, water at 4°C is supplied to the turbine at a rate of 0.58 m³/s through a 195 m-long and 0.34 m-diameter cast iron pipe, as shown in the following figure.. The elevation difference between the free surface of the reservoir and the turbine discharge is 135 m, and the combined turbine-generator efficiency is 85 percent. Disregarding the minor losses due to the large length-to-diameter ratio of the pipe, determine the electric power output of this plant. The density and dynamic viscosity of water at 4°C are p = 1,000 kg/m³ and μ = 1.6×10-³ kg/m-s, and the roughness of the cast iron pipe is & 0.00026 m. = Water 135 m 195 m 0.34 m Turbinearrow_forwardIn the mountains, hydroelectric facilities transport water from a reservoir through enclosed tubes to a turbine. In these plants, the intake tube of 100 cm (Point 2), 50 meters in diameter, is under the water surface of the reservoir (Point 1). Before the turbine falls into a 50-cm diameter bucket 200 meters through the tube (Point 3). (a) What is the speed of the water in the image when the turbine approaches Point 3?(b) Calculate the flow rate of the water at Point 3(c) Calculate the pressure P at point 1 (water surface), point 2 (intake) and Point 3 (nozzle), respectivelyarrow_forwardPlease include all assumptionsarrow_forward
- A turbine is developing 500 kW power under the head of 100 m at a speed of 200 r.p.m. Determine the normal speed and output of the turbine under the head of 81 m.arrow_forwardQUESTION 3 Water must flow over a distance of 2 800 m from a large catchment dam to a turbine. The water level in the catchment dam is 1 620 m above sea level and the turbine is situated 1 275 m above sea level. The efficiency of transmission is 65% and 300 kW must be transmitted from the pipeline to the turbine. If f 0.007, determine the number of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the required power.arrow_forwardA turbine produces 8000 kW of power at 500 rpm under a net head of 45 m with an overall efficiency of 85%. Determine the revolution per-minute (rpm), discharge and brake power of the same turbine under a net head of 60 m in homologous conditions.arrow_forward
- A turbine is installed with a total energy head of 14.97 m. if the rate of flow is 0.48 m3/s,determine the following:a. The input horsepower of the turbine.b. If the efficiency of the turbine is 82 %, compute its output hp.arrow_forwardExpress your solution in 4 decimal places.arrow_forwardA turbine develops 500 kW power under a head of 100 metres at 200 r.p.m. What would be its normal speed and output under a head of 81 metres?arrow_forward
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