Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Chapter 11, Problem 2P
To determine
Find the rate of flow of water through its turbine at maximum output.
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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.
Water flows through a 7.5 m diameter penstock on a dam at a flow rate of 113 m3/s. The total head available for the turbine is 18.4 m. The specifiic weight of water is 9810 N/m3.
What is the power generated by the turbine?
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%.
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- In a hydroelectric project, a discharge of 400 m/s is available with net head of 32 m. If two turbines of same size having specific speed Ns are required to give an efficiency of 90 % then Ng (in Sl unit) of each turbine is_ (Assume speed of each turbine to be 152 r.p.m.).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_forwardQ110. A hydropower plant has to work under the following conditions. Determine the likely number of turbines of specific speed 120 for the plant. Net head = 20 m Speed = 300 r.p.m Discharge = 6 m/sec Hydraulic efficiency 97% %3D Volumetric efficiency 98% %3D Mechanical efficiency 92%. %3Darrow_forward
- takes in 30 m3/s of water from a Reservoir A at el. 100 m through its turbine and discharges it at v = 2 m/s at atmospheric pressure. The head loss in the turbine and penstock system is hf = 20 m. If the efficiency of the turbine is 90%, how much power will be generated by the turbine?arrow_forwardPls answer ASAP. A hydroelectric power plant takes in 1060 ft³/s of water through its turbine and discharges it to the atmosphere at 7 ft/s. The head loss in the penstock is 66 ft. Estimate the power extracted by the turbine in horsepower. Show fbd.arrow_forwardA new hydraulic turbine is to be designed to be similar to an existing turbine with following parameters at its best efficiency point: DA = 3 m, n.A = 90 rpm, V.A = 200 m3/s, HA = 55 m, bhpA = 100 MW. The new turbine will have a speed of 110 rpm and the net head will be 40 m. What is the bhp of the new turbine such that it operates most efficiently? (a) 17.6 MW (b) 23.5 MW (c) 30.2 MW (d) 40.0 MW (e) 53.7 MWarrow_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_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_forwardAn HES with a large water storage reservoir and a dam is operating underthe following conditions:• Number of hydro turbines n = 9• Power plant capacity factor CF = 0.62• Water flow rate Q = 125 m3/s (per turbine)• Net water head H = 490 m• Power plant overall (electrical) efficiency ηel = 0.9Determine (a) the electric power output and (b) the annual power generation of the plant.arrow_forward
- The water behind a Dam is 206 m higher than the River below it. The water inthe dam is allowed to flow into the river to generate power.(i) Describe the energy conversions that take place at the hydro powergeneration plant.(ii) Apply the steady flow energy equation to determine the rate the water mustpass through the hydraulic turbines of this dam to produce 50 MW of power if theturbines are 100 percent efficient?arrow_forwardTwo 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.arrow_forwardDesign head at China’s Three Gorges Dam, the largest hydropower project in the world, is 80.6 m, and rated power output of each of the 32 turbine generator units is 700 MW. If the efficiency of each of the turbine generator units at full power output is 93.2%, what is the design flow through each turbine?arrow_forward
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