# Kaufmann (Scully) 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]

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 Scully and Sullivan in 1972 at Massachusetts Institute of Technology, and earlier by W. Kaufmann in 1962.[3]