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The Kaufmann vortex, also known as the Scully model,<ref name=umd>Mahendra J. Bhagwat and J. Gordon Leishman, [http://www.enae.umd.edu/~leishman/Aero/AHS2002_Bhagwat.pdf Generalized Viscous Vortex Model for Application to Free-Vortex Wake and Aeroacoustic Calculations], University of Maryland</ref> is a [[mathematical model]] for a [[vortex]] taking account of [[viscosity]]. It uses an algebraic velocity profile.<ref>Tamás Gausz, Budapest University of Technology and Economics. [http://rht.bme.hu/letoltesek/Dr.Gausz%20Tamas%20anyagai/Cmff/Blade%20Vortex%20Interaction%20Problems%20at%20Helicopter%20Rotors.pdf Blade vortex interaction problem at helicopter rotors], 12th International Conference on Fluid Flow Technologies, 2003</ref> | |||
Kaufmann and Scully's model for the [[velocity]] in the Θ direction is: | |||
:<math>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.<ref>See citations 19 and 20 in Bhagwat and Leishman's paper.</ref> | |||
==References== | |||
{{Reflist}} | |||
{{DEFAULTSORT:Kaufmann (Scully) Vortex}} | |||
[[Category:Equations of fluid dynamics]] | |||
[[Category:Vortices]] | |||
{{Fluiddynamics-stub}} | |||
Revision as of 06:36, 1 November 2013
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:
The model was suggested by Scully and Sullivan in 1972 at Massachusetts Institute of Technology, and earlier by W. Kaufmann in 1962.[3]
References
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- ↑ 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.