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Finite Amplitude Waves on Aircraft Trailing Vortices

Published online by Cambridge University Press:  07 June 2016

D W Moore
D W Moore*
Affiliation:
Department of Mathematics, Imperial College
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Summary

Numerical methods are used to study the growth of waves of finite amplitude on a pair of parallel infinite vortices. The vortices are treated as lines except in so far as the detailed structure of the core is needed to remove consistently the singularity in the line integrals for the velocities of the vortices. It is shown that the vortices eventually touch and the shape of the wave at this instant is calculated. The wave is quite distorted at this instant, but it is shown that its gross properties are given roughly by linear theory.

Type
Research Article
Information
Aeronautical Quarterly , Volume 23 , Issue 4 , November 1972 , pp. 307 - 314
Copyright
Copyright © Royal Aeronautical Society. 1972

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References

1. Nielsen, J N Schwind, R G Decay of a vortex pair behind an aircraft. Aircraft Wake Turbulence and its Detection, p 413, Plenum Press, New York, 1971.Google Scholar
2. Bisgood, P L Maltby, R L Dee, F W Some work at the Royal Aircraft Establishment on the behaviour of vortex wakes. Aircraft Wake Turbulence and its Detection, p 171, Plenum Press, New York, 1971.Google Scholar
3. Rose, R Dee, F W Aircraft vortex wakes and their effects on aircraft. RAE TN 2934, ARC 25 419 (CP 795), 1963.Google Scholar
4. Crow, S C Murman, E M Trailing-vortex experiments at Moses Lake. Boeing Scientific Research Laboratory Technical Communication 009, 1970.Google Scholar
5. Olsen, J H Results of trailing vortex studies in a flowing tank. Aircraft Wake Turbulence and its Detection, p 455, Plenum Press, New York, 1971.Google Scholar
6. Widnall, S Bliss, D Zalay, A Theoretical and experimental study of the stability of a vortex pair. Aircraft Wake Turbulence and its Detection, p 305, Plenum Press, New York, 1971.Google Scholar
7. Scorer, R S Davenport, L J Contrails and Aircraft Downwash. Journal of Fluid Mechanics, Vol 43, p 451, 1970.Google Scholar
8. Saffman, P G Motion of a vortex pair in a stratified atmosphere. Studies in Applied Mathematics, Vol 51, p 107, 1972.Google Scholar
9. Crow, S C Stability theory for a pair of trailing vortices. AIAA Journal, Vol 8, p 2172, 1970.Google Scholar
10. Spreiter, J R Sacks, A H The rolling up of the trailing vortex sheet and its effect on the downwash behind wings. Journal of the Aeronautical Sciences, Vol 18, p 21, 1951.CrossRefGoogle Scholar
11. Hackett, J E Theisen, J G Vortex wake development and aircraft dynamics. Aircraft Wake Turbulence and its Detection, p 243, Plenum Press, New York, 1971.CrossRefGoogle Scholar
12. Moore, D W Saffman, P G The motion of a vortex filament with axial flow. Phil Trans Roy Soc, Series A, Vol 272, p 403, 1972.Google Scholar
13. Rosenhead, L The spread of vorticity in the wake behind a cylinder. Proc Roy Soc, A, Vol 127, p 590, 1930.Google Scholar
14. McCormick, B Tangler, J Sherrieb, H Structure of trailing vortices, Journal of Aircraft, Vol 5, p 260, 1968.Google Scholar