Kaufmann (Scully) vortex
From HandWiki
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:
- [math]\displaystyle{ V_\Theta\ (r) = \frac{\Gamma}{2\pi} \frac{r}{r_c^2 + r^2} }[/math]
The model was suggested by Scully and Sullivan in 1972 at Massachusetts Institute of Technology, and earlier by W. Kaufmann in 1962.[3]
See also
- Rankine vortex – a simpler, but more crude, approximation for a vortex.
- Lamb–Oseen vortex – the exact solution for a free vortex decaying due to viscosity.
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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