Where do I go wrong in this taylor expansion?
The derivation for $\psi_r$ was off, as it does not carry the dimension of velocity. It should have been something like $U_\infty(1+\frac{R^2}{r^2})\sin\theta.$
The derivation for $\psi_r$ was off, as it does not carry the dimension of velocity. It should have been something like $U_\infty(1+\frac{R^2}{r^2})\sin\theta.$