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u x u u)a ′ ∂ ′ ∂ ′ xxxx )b ∂ ∂ ω′ ∂ ∂ ∂ ω′ ∂ U x U)c ∂ ω ...

u x u u)a ′ ∂ ′ ∂ ′ xxxx )b ∂ ∂ ω′ ∂ ∂ ∂ ω′ ∂ U x U)c ∂ ω ...

u x u u)a ′ ∂ ′ ∂ ′ xxxx )b ∂ ∂ ω′ ∂ ∂ ∂ ω′ ∂ U x U)c ∂ ω ...

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2. (20 Points) Determine the contribution of eddies of size r to the correlations a) and b) in problem 1.<br />

For evaluate these correlations, compare the contribution of large, and small eddies.

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