a site was measured to have an average wind velocity of 5.2 m/s at 13m above ground. if the surface roughness exponent is assumed to be 0.23, what will the predicted wind velocity be at 32m above ground?



Answer :

The wind velocity at 32 m above the ground is 6.39m/s when the roughness exponent of the surface is 0.23

Given in the problem is

Wind velocity at 13m above the ground v1 =5.2 m/s

Height initially h1 = 13m

height at which wind velocity is to be predicted h2= 32m

surface roughness exponent α = 0.23

Let velocity to be predicted be v2

We know that from the formula

v2= v1*(h2/h1)^α

⇒v2= 5.2 * (32/13)^ 0.23 = 6.39 m/s

Thus the wind velocity at 32m above the ground is 6.39m/s

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