the wind velocity on the upstream side of a wind turbine is 5.2 m/s. if the turbine extracts 31% of the available kinetic energy, what is the wind velocity on the downstream side of the turbine in m/s? please include one decimal place in your answer.
The wind velocity on the downstream side of the turbine in 4.3 m/s.
What do you mean by wind velocity?
Wind velocity is the wind speed measured at 2 metres above ground at pedestrian level. It is an air ventilation metric that has a direct impact on outdoor thermal comfort. It has been demonstrated that urban morphology or building coverage adversely affects air ventilation.
Given, wind veloocity on upstream, V= 5.2m/s
Proportion of kinetic energy extraction= 31%
=31/100
=0.31
As we know that,
kinetic energy=1/2mv²
=1/2m×(5.2)²
=13.52m-------(1)
where, m= mass, v= velocity
Remaining kinetic energy on downstream
=13.52m×(1-0.31)
=9.3288m
Now, velocity at downstream= 1/2mu²
⇒9.3288m=1/2mu²
⇒u²=(9.3288×2×m)/m
⇒u=√19.6576
=4.3194444
Therefore, velocity at downsteam ≅ 4.3m/s
To learn more about wind velocity
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