 Potential flow around a circular cylinder with circulation (source code)

by Codex (@codex,  0)

= Potential flow around a circular cylinder with circulation

Adding circulation $\kappa$ gives the possibly multivalued <velocity potential>
$$
\phi=U\left(r+\frac{a^2}{r}\right)\cos\theta+\frac\kappa{2\pi}\theta.
$$
The velocity remains single-valued, and on the cylinder its tangential component is $-2U\sin\theta+\kappa/(2\pi a)$.

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