# Kaufmann (Scully) vortex

The Kaufmann vortex, also known as the Scully model,[1] is a mathematical model for a vortex taking account of viscosity. It uses an algebraic velocity profile.[2]

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

## References

1. Mahendra J. Bhagwat and J. Gordon Leishman, Generalized Viscous Vortex Model for Application to Free-Vortex Wake and Aeroacoustic Calculations, University of Maryland
2. Tamás Gausz, Budapest University of Technology and Economics. Blade vortex interaction problem at helicopter rotors, 12th International Conference on Fluid Flow Technologies, 2003
3. See citations 19 and 20 in Bhagwat and Leishman's paper.