Kaufmann 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

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

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[umd-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.

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