A 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.
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- 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.A pipe is used to deliver water at a rate of 3.8 m³/s from the intake to the turbine. The difference in elevation between the intake’s water surface and the turbine is 200 m. Knowing the headloss in the pipeline from the intake to the turbine is 8 m, find the power (in kW) generated by the turbine if its efficiency is 80%.A turbine is rated at 600hp when the flow of water through it is 82cu.m/sec. Assuming an efficiency of 92%, what is the head acting on the turbine?
- 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.The water taken from a stream at an average speed of 5 m/s is transferred to the turbine by a forced (pressurized) pipe system in order to generate electrical energy. After passing through a 10 m3/s flow rate turbine passing through a pressure pipe, it is poured into the lake downstream. the total irreversible (irreversible) load (energy) loss Dec the piping system between points 1 and 2 (excluding the turbine) is determined as 8 m. Calculate the theoretical and actual power of the turbine by taking the efficiency of the turbine generator set, η = 0.85.Water from a reservoir is being supplied to a powerhouse that is located at an elevation 325 m below that of a reservoir surface. Discharging through a nozzle, the water has a jet velocity of 75 m/s and a jet diameter of 250 mm. a) Find the head lost between the reservoir and the jet in meters. b) Use the power formula to determine the power in the jet in kilowatts.
- Design 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?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)5. Water is pumped 14.5 km from a reservoir at elevation 30 m to another reservoir at elevation 70 m. The steel pipeline connecting the reservoirs has a nominal diameter of 1400 mm (the actual inside diameter is 1372 mm) with C = 90. If the flow is 1.18 m3/s, the pumping efficiency is 82%, and electricity costs $0.14/kWh. Assuming that the density of water is 1000 kg/m3, what will be the monthly power bill? Sketch the hydraulic and energy grade lines.
- The flow rate of the hydroelectric power plant in the figure is 50 m3/s, and 2 meters of water column energy loss occurs due to friction in the pipeline. Find the power that water transfers to the turbine. Calculate the theoretical and actual power of the turbine by taking the efficiency of the turbine-generator group, η = 0.92. (Answer: Ntheoric=52 MW and Nreal=48 MW)A turbine is set 40 m below the water level of a reservoir is fed by 60 cm diameter pipe. A short pipe of 45 cm diameter discharges the water from the turbine to atmosphere (Fig. 1). If a total frictional loss of 10 m is assumed and turbine efficiency 85%, estimate the power output when the discharge is 0.8 m/s.Water flows through the turbine shown at a rate of 0.386 m3/s. The pressures at points A and B are 161.2 kPa and -19.6 kPa, respectively. What is the electrical power generated by the turbine if it is 85% efficient?