Kaufmann vortex

The Kaufmann vortex, also known as the Scully model, is a mathematical model for a vortex taking account of viscosity. It uses an algebraic velocity profile. This vortex is not a solution of the Navier–Stokes equations.

Kaufmann and Scully's model for the velocity in the Θ direction is:


 * $$V_\Theta\ (r) = \frac{\Gamma}{2\pi} \frac{r}{r_c^2 + r^2} $$

The model was suggested by W. Kaufmann in 1962, and later by Scully and Sullivan in 1972 at the Massachusetts Institute of Technology.