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:<math>f(\theta) = \frac{1}{\alpha^2 - \sin^2\alpha} [\theta \sin \alpha \sin (\alpha-\theta) - \alpha(\alpha-\theta) \sin\theta]</math>
Therefore the velocity field is
:<math>
\begin{align}
u_r &= \frac{U}{\alpha^2 - \sin^2\alpha} \{ \sin \alpha [\sin(\alpha-\theta)-\theta\cos(\alpha-\theta)] + \alpha[\sin\theta - (\alpha-\theta)\cos\theta]\}\\
u_\theta &= -\frac{U}{\alpha^2 - \sin^2\alpha} [\theta \sin \alpha \sin (\alpha-\theta) - \alpha(\alpha-\theta) \sin\theta]
\end{align}
</math>
==References==
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