Sustainable Energy
1st Edition
ISBN: 9781133108689
Author: Richard A. Dunlap
Publisher: Cengage Learning
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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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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?
At 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.
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.).
Chapter 11 Solutions
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- Q110. 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_forwardIn 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_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
- QUESTION 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_forwardPls answer thank you! At a proposed hydroelectric plant site, the average elevation of headwater is 600 m, the tailwater elevation is 480 m. The average annual water flow is determined to be equal to the volume flowing through a rectangular channel 4 m wide and 0.5 m deep and average velocity of 5.5 m/sec. Assuming that the plant site can develop if the hydraulic turbine that will be used has an efficiency of 80% and generator efficiency of 92%. Consider a headwork loss of 4% of the available head. Find the annual energy produce in kW.arrow_forward
- 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.arrow_forwardAt hydroelectric electric power plant site, available head and flow rate are 12 m and 6m3/s respectively. If the turbine to be installed is required to run at 2 rev/sec with an over-all efficiency of 60%. Determine the suitable type of turbine for this site ?arrow_forward8. Energy Equation Water at the Lake William Dam enters a hydraulic turbine through a 30 cm diameter pipe at a rate of 0.6 m³/s and exits through a 25-cm diameter pipe. For the system, elevation effects are negligible and the pressure drop across the turbine is measured to be 148 kPa. For a combined turbine-generator efficiency of 83 percent, calculate (a) hurbine and (b) Wubrine- You look in the FE handbook and see: W turbine = 7/turbine-gen”ightutine, e turbine-genhtubine, e 30 cm diameter 25 cm diameter Turbine Generatorarrow_forward
- Determine the total energy production of a run-of-river plant having an total efficiency of 85%. It receives flow by means of a penstock, 400m long with 1.2m diameter, and f=0.015 in Darcy-Weisbach equation. The available head is 200m and seasonal fluctuations of upstream and downstream water levels are ignored. The flow duration data are tabulated as below.arrow_forward2.1 A hydro-electric power station has a reservoir area of 2.7 km² and a capacity of 4.6 x 106m³. The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively. Instructions :round off to 2 decimal places 1. Determine the total electrical energy that can be generated from the power station (kWh). 2. Determine the depth of the reservoir (metres) 3.Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).arrow_forwardPlease include complete solutionarrow_forward
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