The wind speed at any site can be written as the sum of its average v plus a fluctuating term that averages to zero, v(t) v v(t) Show that the effect of the fluctuations is always to make v 3 greater than v 3

Question: The wind speed at any site can be written as the sum of its average v plus a fluctuating term that averages to zero, v(t)

The wind speed at any site can be written as the sum of its average 〈v〉 plus a fluctuating term that averages to zero, v(t) = 〈v〉 + δv(t). Show that the effect of the fluctuations is always to make 〈v³〉 greater than 〈v〉³.

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