Kaufmann vortex

The Kaufmann vortex, also known as the Scully model, is a mathematical model for a vortex taking account of viscosity.^[1] It uses an algebraic velocity profile.^[2] This vortex is not a solution of the Navier–Stokes equations.^{[citation needed]}

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

${\displaystyle V_{\Theta }\ (r)={\frac {\Gamma }{2\pi }}{\frac {r}{r_{c}^{2}+r^{2}}}}$

The model was suggested by W. Kaufmann in 1962,^[3] and later by Scully and Sullivan in 1972 at the Massachusetts Institute of Technology.^[4]