channelflow.org

**This is an old revision of the document!** ----

====== Math 445 lecture 17: inviscid flow past a cylinder ====== The velocity and pressure fields of inviscid, irrotational flow past a cylinder are given by \begin{eqnarray*} v_x &= v_0 \left(1 - \frac{a^2}{r^2} \cos(2 \theta) \\ v_y &= -v_0 \frac{a^2}{r^2} \sin(2 \theta) \\ p &= 2 \frac{a^2}{r^2} \cos(2 \theta) - \frac{a^4}{r^4} \endPeqnarray*}