Stokes streamfunction
= Stokes streamfunction
{c}
{title2=$\psi(r,z)$}
For axisymmetric incompressible flow without swirl, $u_r=-\psi_z/r$ and $u_z=\psi_r/r$. These identities enforce incompressibility, and $2\pi\psi$ measures axial volume flux from the symmetry axis when its additive constant is chosen there.