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A 3-blade wind turbine with a diameter of 16 m spins at 35 rpm at a...

A 3-blade wind turbine with a diameter of 16 m spins at 35 rpm at a 5000 m elevation where the average wind speed is 30 km/hr. The atmospheric pressure and temperature at that location are 98 kPa and -10 oC, respectively. There is a rotating wake behind the turbine. Neglecting the frictional drag, calculate the maximum power coefficient and maximum power.

Solutions

Expert Solution

Power Co-efficient is given by the equation

where means the conversion efficiency of the turbine, motor and the electrical efficiency respectively(see the attatched figure)

the typical values of and for the given wind speed are as given below

ηb = 0.397
ηm = 0.96
ηe = 0.94

where and means the output and input powers respectively.

where is the density of the air, is the area swept by the turbine and is the velocity of the wind.

where is the absolute pressure, is the specific gas constant for dry air and is the Absolute temperature.

from the given question,

genius_generous answered 1 year ago

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