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Applicability of 1/7 power law for turbulent flow

Denote $\hat{u} = \frac{u}{u_{max}}$, and $\hat{z} = \frac{z}{z_{max}}$ then your power law is given by $$ \hat{u} = \left(1 - \hat{z}\right)^\frac{1}{n}.$$ Taking the derivative with respect to $\hat{...
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