Sustainable Energy
2nd Edition
ISBN: 9781337551663
Author: DUNLAP, Richard A.
Publisher: Cengage,
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Chapter 10, Problem 17P
To determine
Find the area of the wind farm relative to the area of the urban area.
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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?
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
Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE.
A 6-MW offshore wind turbine has a capacity factor of 40%. It has a height of 120 m, and 107-m long blades. The angular acceleration is 1.17 rad/s2. Assume that the distance from the center of the turbine to the connection with the blade is negligible, and that the turbine starts from rest. At t = 12 s, calculate the velocity and the acceleration for points (a) at half the length and (b) at the tip of the blade.
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- a wind energy generator generates 1150w at rated speed of 20mph at the atmospheric pressure and temperature at 20deg c. calculate the change of output if wind generator is operates altitude of 1800m temperature 10deg c.wind speed 30mph,atmospheric pressure 0.88atm. area=? power generated for 1800m=?arrow_forwardTake the density of air to be 1.25 kg/m³, and disregard fric- 13-42 Commercially available large wind turbines have blade span diameters larger than 100 m and generate over 3 MW of electric power at peak design conditions. Consider a wind turbine with a 60-m blade span subjected to 30-km/h steady winds. If the combined turbine-generator exerted by the wind on the supporting mast of the turbine. power generated by the turbine and (b) the horizontal force efficiency of the wind turbine is 32 percent, determine (a) the tional effects on mast. 30 km/h 60 m FIGURE P13-42arrow_forwardA new 144 MW hydropower station is to be built at a site where the available head is estimated at 270 m. The generators require the turbine to rotate at 10 rad/sec. The only available turbines are Francis turbines with KN (the non-dimensional parameter to classify turbine ) equal to 0.08. Determine the number of turbines required.arrow_forward
- 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 ƒ = 0.007, determine the number of 200 mm diameter pipelines, which must be laid in parallel, needed to transmit the required powerarrow_forwardi) 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_forwardWater must flow over a distance of 2800 m from a large catchment dam to a turbine. The water level in the catchment dam is 1620 m above sea level and the turbine is situated 1275 m above sea level. The efficiency of transmission is 65 percent 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 parallel, needed to transmit the required power.arrow_forward
- Extra examples: A turbine receives water from a large reservoir and discharges the water into the atmosphere, if pipe dia. 18 in. pipe length= 150 ft, and the velocity in the pipe 20 ft's, find the power derived to the turbine by the water, take the major losses (f = 0.03)? Watee 20 Tiabine 20arrow_forwardAn explosion occurs at a nuclear power plant and radioactive steam is escaping from a broken pipe at time t=0. The wind field is modeled to be the following for the next 4 days and the steam is assumed to advect with the wind field. Day 1 5 mph Day 2 7 mph Day 3 3 mph Day 4 2 mph Angle = 45 deg. Angle = 45 deg. Assuming the plant is located at (x,y)=(0,0), plot to scale: a) the streaklines at the end of each day. b) The pathline at the end of the 4th day of the particle that left the broken pipe at time t=0. c) The pathline at the end of the 4th day of the particle that left the broken pipe at the end of day 2. If a Geiger counter (measures radioactivity) is located at (100 miles, 140 miles) does it register any signal due to the radioactive steam?arrow_forwardThe turbine of a hydrostatic plant is driven by a falling head of water from a source 30 m high up through a 600 mm penstock flowing full. a. Evaluate the theoretical velocity of water as it hits the turbing blades in m/sec. b. Evaluate the theoretical discharge of water in m3/s. c. If the turbine is only 70% efficient, estimate the horsepower available from it.arrow_forward
- QUESTION 1 Problem-1: Estimate the number of pumps required to lift 0.05 m'/s against a total head of 110 m if they arranged in series. The speed of the pump impeller N = 20EN rpm and the specific speed should not be less than 20. What are the diameter and power required for each pump if the speed ratio is 0.9 and the efficiency of the pump is 0.88? If each pump would be replaced with another geometrically similar pump working at the same efficiency with a diameter of D2 = 0.25 m and speed of N2=1250 rpm, what will be the new pump head, discharge and power? 3/4 N, = NO/H,: v=0/2gH, = rDN / 60; %3D P. 757 D D N, D N, EN=62 P, N. H, H N, D. Problem-2:arrow_forwardThe nearby town of Bellefonte, PA features the Gamble Mill, an old mill originally used to grind grain into flour - 1800s hydropower. The mill dam, pond, millrace and tail race are still in place and functional. The mill building is now a restaurant (currently for sale), but all the water-works are owned by the borough. The municipal manager wants to put the system back to work as a small hydroelectric system to help supply the borough's electricity. Does this idea make sense? How much power could this system produce? The height difference between the mill race and the tailrace is ten feet (3 meters), and the stream can supply, on average, 100 cubic feet of water per second (2.8 m^3/sec). The planned turbine would be 63% efficient under those conditions. Power (watts) = density of water * height * flow rate acceleration of gravity * coefficient of efficiency NOTE: the coefficient of gravity is 9.81 for this problem Don't round your answers. *arrow_forward. You are required to design a roller coaster with the profile shown in Figure Q2(a). An electric motor will pull the coaster to the top of the first hill. After the coaster has been pulled to the top, no more external work will be added to it. Hint: the amount of energy the coaster has to complete its journey on the track depends on the potential energy on the first hill This will give you the relationship berween the height of this hill and the speed of the coaster. The shape of the first hill will detemine if the coaster will safely travel on the track and speed of the coaster. Hint: you can imagine the coaster as a particle that moves in space along the track in a projectile motion. The coaster exit through a second hill to maintain feeling of speed and thrill in the ride. The second hill is also to maintain the speed to the next stage of the ride. Hint: the safety of travel on the track depends on the speed you are travelling and is related to the hill you are coming from. Instead…arrow_forward
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