Potential flow around a cylinder
by Luca Sbardella on August 11, 2014
The classic closed form solution for incompressible flow past a two-dimensional cylinder
The image represents the stream function of an incompressible inviscid flow past a cylinder. The stream function for this type of flow has a closed form solution in polar coordinates
\psi\left(r,\theta\right) = V_{\infty} \left(\frac{a^2}{r} - r\right) \sin{\theta}where a is the cylinder radius.