next up previous
Next: Stream + Dipole: circles Up: Stream + source/sink pair: Previous: Solution: stagnation points for

Solution: radius $R_{0}$ of the 3D Rankine body.

At $x = 0$,


\begin{displaymath}u = U + \frac{m}{4\pi }\frac{2a}{\left( {a^2 + R^2} \right)^{... ...nulldelimiterspace} 2}} \mbox{\ where \ } R = y^2 + z^2 \notag \end{displaymath}  

The radius of body R$_{0}$ is solution of


\begin{displaymath}2\pi \int\limits_0^{R_0 } {uRdR} = m \notag \end{displaymath}