Answered: what is the area of the wind farm? The…

what is the area of the wind farm? The optimal efficiency, η = 0.49 and The ideal spacing for a turbine is 300m by 1000 meters Answer in km2

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.37P

See similar textbooks

Related questions

Q: A fan develops a brake power of 150kW at 1.2kg/m3 air density. What is the new brake power of the…

Q: Consider a location where the wind blows at 15 m/s. 2 options with two rows of turbines…

A: INTRODUCTION : The first row and second row of turbines are provided in this problem. During a…

Q: Consider a wind turbine operating with a tip speed ratio of 3. If the angle of attack is 7° and the…

A: Surging : It is a complete break-down of steam flow to the compressor due to periodic flow reversal.…

Q: What will be the percentage decrease in power density for a 15 m/s wind at an elevation of 1200 m…

Q: A wind turbine located at a height of 25m from ground, produces 950 kW. Its hub diameter negligible…

A: Assumption 1) Density of air is 1.2 kg/m3 2) Length of blade and radius of rotation is equal 3)…

Q: Air flows through a 0.5 m length and 1 cm diameter pipe for a soft robotics application. If the…

Q: A reservoir supplies water through 100 m of 30-cm-diameter cast iron pipe to a turbine that extracts…

A: Given:L=100 md=30 cm =0.3 mP=80 hp∆z=30 mρ=998 Kg/m3μ=0.001 Kg/m.s

Q: The wind resource at hub-height for a wind turbine with rated wind speed 11 m/s and cut- in wind…

A: Given: The wind speed, v = 11 m/s The Weibull shape factor, k = 1.7 The weibull scale parameter, c =…

Q: TT IS Course EHide bloc A radial flow machine has an impeller with inlet diameter D1= 0.03m, outlet…

Q: 3. A square duct of air (p = 1.2 kg/m³; µ = 1.9x104 kg/m-s) is fed from a pressurized tank as shown…

Q: What will be the rotational speed of a wind turbine that generates a power of 5MW at 140km/hr wind…

A: Given: The speed of wind is vw=140 km/hr. The blade length is l=50 m. The speed ratio is λ=3.44.…

Q: Three bladed type wind turbine with an area of 255 sq.m was installed in a windy cliff with 25 m/s…

Q: Find the boiler chimney diameter if the boiler has a capacity of 320 kW with a combustion efficiency…

A: Given data: The boiler capacity, W˙ = 320 kW. The combustion efficiency, ƞ = 75%. The calorific…

Q: A radial type Boeing 747 blower is designed to deliver 1.3 m3/sec of air at a pressure of 107 KPa…

A: Given data→Q=1.3m3/secP1=60kPah=4000mT1=263KP2=107kPaN=18000 RPMηk=0.72

Q: Wind is blowing at 55 km/hr in a windy province in Mindanao. It is proposed by the WECS to install a…

Q: Water at 20°C is pumped at a constant rate of 9 m3/h from a large reservoir resting on the floor to…

Q: 21. The thrust of a propeller shaft in a marine engine is taken up by a number of collars integral…

A: This question is related to the flat collar bearing. We know that the collar bearing is used in the…

Q: In a chimney draught, the draught | Q4. produced is 19 mm of water when the gas temperature is 290°C…

A: The answer is given below steps

Q: A turbojet engine is being used to propel an aeroplane with the drag of 3900 N and the coefficient…

A: The answer is

Q: The thrust of a propeller shaft in a marine engine is taken up by a number of collars integral with…

A: Shaft is a machine element which is used to transfer rotary motion motion point to another. It is…

Q: A radial flow machine has an impeller with inlet diameter D1= 0.025m, outlet diameter D2=0.077m,…

Q: Consider an axial flow blower spinning at 4200 rpm with tip and hub diameters of 25 cm and 12.5 cm,…

A: The engine is the most important component of a pivotal stream fan. Other than that, it features…

Q: The average wind speed at a proposed HAWT wind farm site is 12.5 m/s. The power coefficient of each…

A: Given data: Electrical power, W = 2.5 MW Efficiency of the generator, ηg = 0.41 Combined efficiency,…

Q: I need handwritten otherwise I'll dislike A two-bladed horizontal axis wind generator has a 30 m…

Q: For solution of this problem also sketch velocity triangles and label it. A rotodynamic impulse…

Q: Q1/. A fan draws in air freely and discharges through a test duct of cros section 0.07 m² in which…

A: Area= 0.07m2Static pressure 20% of velocity pressuretotal efficiency=65%Power=1kW To-Find:- Quantity…

Q: A wind turbine generator system having a diameter of 82.5 m produces 1.5 MW at a wind speed of 12…

A: To find-: The diameter of blade D2. Given-: The diameter of wind turbine generator system is…

Q: An experimental wind terbine, designed for optimum e fficiency operation, has blades 37.5m in…

Q: calculate the rated output power and annual energy generation capacity of a tidal wave system under…

A: Given data as per question No. of generators =50 generator efficiency =97.2% Rotor diameter =6 m The…

Q: In Batangas, one of its power plant has been thoroughly monitored for a possible conversion into a…

A: Average Air velocity, V=10 km/hr=10*10003600m/s=2.78 m/sExisting power plant output, E=30MW The…

Q: Three immiscible fluiids are contained in a tank: 1.0 m of water, 1.20 m of oil (s= 0.80) and air…

Q: Three bladed type wind turbine with an area of 255 sq.m. was installed in a windy cliff with 25 m/s…

Q: Dresden, Germany has a population of 700,000 and a population density of 2200 km-2 in the urban…

Q: 1. A 75 m high wind tower with a 50 m rotor diameter has been constructed in a region that follows…

A: Given: The height of wind tower, H = 50 m The diameter of rotor, d = 50 m The coefficient of shear…

Q: A wind turbine located at a height of 25m from ground, produces 950 kW. Its hub diameter negligible…

A: Assumption 1) Density of Air is 1.25 kg/m3 2) Rotation of the wheel is the same as that of the…

Q: Maximizing the wind velocity of 92 m/s and 25 units of wind turbine was installed at the seaside…

A: ◆ The total power produced by the wind turbine power plant is 49.23 MW. ◆ Hence, option D is…

Q: When the site is chosen, it is proposed that three-blade type wind turbines are installed, which can…

A: Given data: Velocity range : 3 m/s to 12 m/sTurbine blade length = 75 mPower coefficient = 0.54Air…

Q: A 5 KW electrical generator of typical efficiency 0.8+n5000 is driven by a wind turbine plus gearbox…

A: It is given that Typical efficiency = 0.8+n5000 Cp = 0.34 Diameter = 5.5m Density = 1.29 m3s n=…

Q: Consider two identical wind turbines with a hub height of 40 m, one located in flat agricultural…

A: Height =40m The velocity of wind is 10 m/s at a height of 100 m. To find Pagricultural/Pforest

Q: Consider the fire extinguisher Assuming a steady exhaust from a 1”-diameter nozzle in the fire…

A: The mass flow rate of the fluid is the amount of matter that passes through a certain cross-section…

Q: A helicopter with a gross weight of 1,363.6 kg, a main rotor radius of 4.0 m, and a rotor tip speed…

A: T=1363.6 kg main rotor radius =4.0 m Power HP speed =VHP=680207.3 m/sec Power=205 kW(a) Rotor disk…

Q: A dam is proposed on a remote stream that measures approximately 25-cm deep by 350-cm wide with an…

A: Handwriting.jpg

Q: Water at 20°C is pumped at a constant rate of 9 m3/h from a large reservoir resting on the floor to…

Q: What is the relationship between the average power in the wind and average speed? A horizontal-axis…

Q: A wind energy generator generates 1050 w at rated speed of 26 mph at the atmospheric pressure and…

A: Gven: P1=1050 Wv=26 mphT1=20°Ch=1800 mT2=10 °Cv2=24 mphp2=0.88 atm

Question

Dresden, Germany has a population of 700,000 and a population density of
2200 km-2 in the urban area. Assume that the electrical needs of Dresden are an average of
1.0 kWe per capita and these are satisfied by a wind farm consisting of 100 m diameter
three-rotor wind turbines operating at optimal efficiency and with optimal spacing. If the
wind velocity is constant at 7 m/s, what is the area of the wind farm? The optimal efficiency, η = 0.49 and
The ideal spacing for a turbine is 300m by 1000 meters

Answer in km²

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Dresden, Germany has a population of 700,000 and a population density of2200 km-2 in the urban area. Assume that the electrical needs of Dresden are an average of1.0 kWe per capita and these are satisfied by a wind farm consisting of 100 m diameterthree-rotor wind turbines operating at optimal efficiency and with optimal spacing. If thewind velocity is constant at 7 m/s, what is the area of the wind farm? The optimal efficiency, η = 0.49 and The ideal spacing for a turbine is 300m by 1000 meters Sustainable energy, 2nd edition, Ch 10, Problem 17P
Consider two identical wind turbines with a hub height of 40 m, one located in flat agricultural land and one located above a forest. What is the relative output power for the two turbines if the wind velocity is 10 m/s at a height of 100 m in both cases? Pagricultural/Pforest = ?
A horizontal axis wind turbine with a 35-m diameter rotor is 40% efficient at 7.5 m/s winds and at 1 atm of pressure and 15° C. (a) How much power would it produce at these conditions? (b) What would the air density be on the peak of Mount Robson in the Rainbow Range which has an elevation of 3954 m at -8.5° C? (c) Determine the power the wind turbine would produce on the mountain with the same wind speed. Assume that the efficiency of the turbine is not affected by density and the coefficient of friction is the same at both altitudes. Is it beneficial to build the turbine on top of this mountain?
A wind turbine located at a height of 25m from ground, produces 950 kW. Its hub diameter negligible in comparison with length of the blade. Calculate the length of the blade. The average wind velocity is 15 m/s and wind density is 1.25 kg/m3.Gear box efficiency as 85%, Generator efficiency as 75% and Transmission efficiency as 80%. The value of Cp=0.29 and it is a horizontal type of wind turbine.
A large turbine is rated at 2500 kW at standard conditions (0°C and 101.3 kPa). What would be its rated power at the same rated wind speed if the temperature were 20°C and the turbine was located at 1500 m above sea level.
The average wind speed at a proposed HAWT wind farm site is 12.5 m/s. The power coefficient of each wind turbine is predicted to be 0.41, and the combined efficiency of the gearbox and generator is 92 percent. Each wind turbine must produce 2.5 MW of electrical power when the wind blows at 12.5 m/s. (a) Calculate the required diameter of each turbine disk. Take the average air density to be ? = 1.2 kg/m3 . (b) If 30 such turbines are built on the site and an average home in the area consumes approximately 1.5 kW of electrical power, estimate how many homes can be powered by this wind farm, assuming an additional efficiency of 96 percent to account for the powerline losses.
Estimate the amount of power generated by a wind turbine having a powercoefficient of 0.37 given the annual average wind speed:Rotor diameter = 125 mCenter of rotor at an elevation 160 m above the surface level.Location: Oklahoma City, OK
A dam is proposed on a remote stream that measures approximately 25-cm deep by 350-cm wide with an average velocity of 2.2 m/s. If the dam can be constructed so that the free surface above a turbine is 10 m, estimate the maximum power output of an 88 percent efficient turbine. a. 145kW b. 188kW c. 155kW d. 166kW
Estimate the annual production of a 12 m diameter horizontal axis wind turbine operating atstandard atmospheric conditions (r = 1.225 kg/m3 ) in an 8 m/s average wind speed regime.
A small wind turbine with a blade of diameter 18m is subjected to a wind turbine of velocity 10 m/s. Its efficiency is 75%. Calculate the power and energy produced by the turbine per year. Density of air is 1.864 Kg/m3.
Pls show detailed solution Example 2.2A typical industrial-scale wind turbine has a peak efficiency of about 0.44 for a wind speed of 9 m·s−1. That is, it converts about 44% of the kinetic energy of the wind approaching it into usable electrical energy. The total air flow impinging on such a turbine with a rotor diameter of 43 m is about 15,000 kg·s−1 for the given wind speed. a) How much electrical energy is produced when 1 kg of air passes through the turbine?(b) What is the power output of the turbine?(c) If there is no heat transferred to the air, and if its temperature remains unchanged, what is its change in speed upon passing through the turbine?
In Batangas, one of its power plant has been thoroughly monitored for a possible conversion into a wind power plant. A propeller wind turbine is to be used. Survey showed that Batangas City has an average air velocity of10km/hr at 30 . The existing power plant has an output of 30MW. For the proposed wind power, the mechanical electrical efficiency is 70%. And the impeller diameter is assumed not more than 10m. Determine the following:a. Theoretical Wind Power Outputb. Electrical Power Outputc. Number of turbines to be installed