MindTap Engineering for Dunlap's Sustainable Energy, SI Edition, 2nd Edition [Instant Access], 1 term (6 months)
2nd Edition
ISBN: 9781337551755
Author: DUNLAP
Publisher: Cengage Learning US
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1.The wind turbine gives the following data: Blade length, 1 = 52 m, Wind speed, V= 12
m/s, Air density,
wind and power available in the rotor.
= 1.23 kg/m³, Power Coefficient, C,= 0.4, Calculate the power in the
2.A Site evaluated for a wind farm is observed to have steady winds at a speed of 8.5m/s.
Determine the wind energy (a) per unit mass, (b) For a mass of 10 kg and (c) For a flow
rate of 1154 kg/s of air.
3.The nominal power of the wind turbine is 3MW at wind speed 11.5m/s, generator
efficiency is 94%, gear box efficiency is 0.75, power coefficient of blades is 0.59. What
would be the diameter of the rotor?
Two sites are being considered for wind power generation. In the first site, the wind blows steadily at 7 m/s for 3000 hours per year, whereas in the second site the wind blows at 10 m/s for 2000 hours per year. Assuming the wind velocity is negligible at other times for simplicity, determine which is a better site for wind power generation. Hint: Note that the mass flow rate of air is proportional to wind velocity.[take the density of air to be ρ = 1.25 kg/m3]
A large commercial wind turbine has a blade span of 100 m and tower (4 m diameter uniform) height of 150 m high (hub height above the ground). If the combined turbine-generator efficiency of 40%, wind speed of 15 km/h and the air density 1.2 kg/m3 (disregard frictional effects on the mast) determine the following:a) Electrical power generated by the turbine (in MW).b) Total horizontal force (kN) exerted by the wind on the supporting mast of the turbine and the distance (m) of this resultant force from the ground. Assume uniform tower diameter throughout the height.c) What will be the electrical power generated (in MW) when the wind speed is 30 km/h
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MindTap Engineering for Dunlap's Sustainable Energy, SI Edition, 2nd Edition [Instant Access], 1 term (6 months)
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- i) Water from a reservoir is used to generate electricity at a small hydropower station at an elevation of 500 m below. The water flows freely under the influence of gravity from the reservoir through 5 km of pipe with a 200-mm nominal bore and discharges through a hydro-turbine before discharging into a river. It is proposed to install a second pipe alongside the first to carry an additional flow of water equal to 50%. If the Fanning friction factor in the Darcy equation is assumed to have a constant value of 0.005, determine the minimum inside diameter of the new pipe if the new pipe also flows freely under the influence of gravity. The density of water is assumed to be 1000 kgm–3 ii) The thrust T of a screw propeller is dependent upon the diameter D, speed of advance V, revolutions per second N, fluid density ρ and the co-efficient of viscosity µ. Experiments were performed with various models of propellers. State the dimensionless groups ? Are these similarities attainable?arrow_forwardIf the wind velocity at a height of 2 m above ground is 5.0 kmph, its value at a height of 9 m above ground can be expected to be in km/h aboutarrow_forwardA wind turbine with an extraction ratio (torque power/drag power) of 1.05 rotates at 0.53 rad/s in a wind with velocity 16m/s. The disc area is 345 sq m and the torque generated is 814 kNm. Taking air density as 1.20 kg/m/m/m, calculate the advance angle at the blade tip, assuming flow arrives at the disc axially. Express your answer in degrees.arrow_forward
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