Absolute instabilities of a finite length vortex street with external axial velocities
Abstract
This paper presents a numerical algorithm for the study of the absolute instability of a vortex street with external axial velocities and finite length vortices. The aim is that this will be of relevance to the study of the flow over slender bodies at yaw. The algorithm is based on the vortex dynamics momentum equation. Special core treatments have been implemented to tackle the problem of infinite self-induced velocity. A small perturbation method is then used to formulate the eigenvalue problem.
References
[1] T.W. Chiu, L.C. Squire. An Expermental Study of the Slow over a Train in a Crosswind at Large Yaw Angles up to 90°. J. Wind Eng. & Ind. Aerodyn., 45: 47- 74, 1992.
[2] D. Degani, G.G. Zilliac. Experimental Study of Nonsteady Asymmetric Flow around an Ogive Cylinder at Incidence. AIAA Journal, 28(4): 642- 649, 1990.
[3] G.G. Zilliac, D. Degani, M. Tobak. Asymmetric Vortices on a Slender Body of Revolution. AIAA Journal, 29(5): 667- 675, 1991.
[4] D.W. Moore and P.G. Saffman. The Motion of a Vortex Filament with Axial Flow. Transactions of the Royal Society of London, 212: 403- 429, 1972.
[5] A.H. Berney, T.W. Chiu and C.J. Baker. Inverstigation of the Stability ofthe Vortex Wake Behind a Slender Body at Yaw using a Combined Boundary Element and Vortex Dynamics Algorithm. Proceedings of the International Conference on Numerical Method in Continuum Mechanics, 9-16, High Tatras, Slovakia, 19- 22 September, 1994
[2] D. Degani, G.G. Zilliac. Experimental Study of Nonsteady Asymmetric Flow around an Ogive Cylinder at Incidence. AIAA Journal, 28(4): 642- 649, 1990.
[3] G.G. Zilliac, D. Degani, M. Tobak. Asymmetric Vortices on a Slender Body of Revolution. AIAA Journal, 29(5): 667- 675, 1991.
[4] D.W. Moore and P.G. Saffman. The Motion of a Vortex Filament with Axial Flow. Transactions of the Royal Society of London, 212: 403- 429, 1972.
[5] A.H. Berney, T.W. Chiu and C.J. Baker. Inverstigation of the Stability ofthe Vortex Wake Behind a Slender Body at Yaw using a Combined Boundary Element and Vortex Dynamics Algorithm. Proceedings of the International Conference on Numerical Method in Continuum Mechanics, 9-16, High Tatras, Slovakia, 19- 22 September, 1994
Published
2023-05-31
Issue
pp. 161-172
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Chiu, T. W., & Berney, A. H. (2023). Absolute instabilities of a finite length vortex street with external axial velocities. Computer Assisted Methods in Engineering and Science, 5(2), 161-172. https://cames3.ippt.pan.pl/index.php/cames/article/view/1352
