A water turbine delivering 10 MW power is to be tested with the help of a geometrically similar 1 : 10 model which runs at the same speed and efficiency. The power developed by the model will be:
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- 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 Francis turbine of diameter 3.0 m develops 6750 kW at 300 rpm under a net head of 45 m. A geometrically similar model of scale ratio 1: 8 is to be tested at a head of 9 m. Estimate the size, speed discharge and power developed by the model. What is the specific speed of the model? (Assume overall efficiency of 0.82 for both the prototype and model)A hydraulic turbine, when tested in a laboratory at 250 rpm under 8 m head, develops 80 kW power. The power potential of a similar turbine of the appropriate size operating under a head of 40 m and at the same speed is
- If a horizontal force of 890 N is developed by the water jet leaving the pipe on the 90° deflector plate shown in figure below, what is the power produced by the turbine knowing that its efficiency is 90%. Neglect losses. Water 150 mm dia jet ceflector plateA well-insulated turbine operating at steady state is shown on the right. Steam enters at 3 MPa, 400°C, with a volumetric flow rate of 85 m³/min. Some steam is extracted from the turbine at a pressure of 0.5 MPa and a temperature of 180°C. The rest expands to a pressure of 6 kPa and a quality of 90%. The total power developed by the turbine is 11,400 kW. Kinetic and potential energy effects can be neglected. Determine (a) the mass flow rate (in kg/s) at each exit, and (b) the diameter of the duct, d₂ (in cm) where steam is extracted P₁ = 3MPa T₁=400°C (AV)₁ = 85 m³/min Turbine P2 = 0.5 MPa T₂ = 180°C V₂= 20 m/s Power out ¹3 P3= 6 kPa x3 = 90%The change in head across a small turbine is 10 m, the flow rate of water is 1 m³/s and the efficiency are 80%. The power developed by the turbine is approximately:
- A single jet impulse turbine of 10 MW capacity works with a head of 500 m. If the specific speed of the turbine is 10, the actual speed of the turbine isConsider the following data from a test on Pelton wheel? Head at the base of the nozzle = 32 m Discharge of the nozzle = 0.18 m³/s Area of the jet = 7500 mm² Power available at the shaft = 44 kW Mechanical efficiency = 94% The power lost in the nozzle will be nearlyQ- If the energy present in a jet of water of 20 cm diameter and having a velocity of 25 m/s could be extracted by a device with 90% efficiency. Find the power extracted. (Assume 1/2g=0.051 sec²/m)
- A pipe of diameter 300 mm and length 3500 m is used for the transmission of power by water. The total head at the inlet of the pipe is 500 m. What willI be the maximum power available at the outlet of the pipe, if the value of f = 0.06?The horizontal pump in Fig.1 discharges water at 57 m3/h. Neglecting Losses,What power in KW is delivered to the water by the pump? A-836 watt B-8360 watt C-8362 watt D-83600 wattThe contents of a tank are to be mixed with a turbine impeller that has six flat blades. The diameter of the impeller is 3 m, and the impeller is installed 1.25 m above the bottom of a 6-m deep tank. If the temperature is 30°C and the impeller is rotated at 30 rev/min, what will be the power consumption? Find the Reynolds number using Eq. (5-11).
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