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\[\sigma_w = \left\{
\begin{align} & 0.15 + 1.5 \sin^2 \left( \frac{\pi}{2}\frac{W_s}{u_{*w}} \right) \text{ if }\frac{W_s}{u_{*w}}\le 1 \\ & 1.0 + 0.65 \sin^2 \left( \frac{\pi}{2}\frac{u_{*w}}{W_s} \right) \text{ if }\frac{W_s}{u_{*w}}>1 \\ \end{align} \right. \qquad\qquad\text{(154)}\]