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Trailing vortices in homogeneous and density-stratified media

Published online by Cambridge University Press:  20 April 2006

Turgut Sarpkaya
Turgut Sarpkaya
Affiliation:
Naval Postgraduate School, Monterey, CA 93940
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Abstract

Experiments were conducted with three delta wings and two rectangular wings to investigate the evolution of trailing vortices in stratified and unstratified water. The vortex trajectories were determined as a function of the normalized time V0t/b0, stratification parameter Nb0/V0 and an effective vortex-core size re/b0. The results have shown that the vortices rise only to a finite height as they decay gradually at first and rapidly thereafter under the influence of turbulence, sinusoidal instability, and core bursting. The effect of stratification is to reduce the lifespan of vortices and the maximum height attained by them.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 136 , November 1983 , pp. 85 - 109
Copyright
© 1983 Cambridge University Press

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References

Baker, G. R., Barker, S. J., Bofah, K. K. & Saffman, P. G. 1974 Laser anemometer measurements of trailing vortices in water J. Fluid Mech. 65, 325–336.Google Scholar
Barker, S. J. & Crow, S. C. 1977 The motion of a two-dimensional vortex pair in ground effect J. Fluid Mech. 82, 659–671.Google Scholar
Bartlett, G. E. & Vidal, R. J. 1955 Experimental investigation of influence of edge shape on the aerodynamic characteristics of low aspect ratio wings at low speeds J. Aero. Sci. 22, 517–534.Google Scholar
Bilanin, A. J. & Widnall, S. E. 1973 Aircraft wake dissipation by sinusoidal instability and vortex breakdown. AIAA Paper 73–810.
Burnham, D. C., Hallock, J. N., Tombach, I. H., Brashears, M. R. & Barber, M. R. 1978 Ground based measurements of a B-747 aircraft in various configurations. US Dept of Transportation Rep. FAA-RD-78-146.Google Scholar
Condit, P. M. & Tracy, P. W. 1971 Results of the Boeing Company wake turbulence test program. In Aircraft Wake Turbulence and its Detection, pp. 489–492. Plenum.
Crow, S. C. 1970 Stability theory for a pair of trailing vortices AIAA J. 8, 2172–2179.Google Scholar
Crow, S. C. 1974 Motion of a vortex pair in a stably stratified fluid. Poseidon Research Rep. no. 1.Google Scholar
Crow, S. C. & Murman, E. M. 1970 Trailing-vortex experiments at Moses Lake. Boeing Scientific Research Labs, Seattle, Wash., Communication 009.
Donaldson, C. Dup. & Blanin, A. J. 1975 Vortex wakes of conventional aircraft. AGAR Dograph AGARD-AG-204.
Elle, B. J. 1958 An investigation at low speed of the flow near the apex of thin Delta wings with sharp leading edges. ARC R & M no. 3176.Google Scholar
HALLOCK, J. N. (ed.) 1977 Proc. Aircraft Wake Vortices Conf. Natl Tech. Info. Services, Springfield, VA 22161.
Hallock, J. N. & EBERLE, W. R. (eds.) 1977 Aircraft wake vortices: a state-of-the-art review of the United States R & D program. Transportation Systems Center. Cambridge. MA, Rep. FAA-RD-77-23.
Hecht, A. M., Bilanin, A. J. & Hirsh, J. E. 1981 Turbulent trailing vortices in stratified fluids AIAA J. 19, 691–698.Google Scholar
Hecht, A. M., Bilanin, A. J., Hirsh, J. E. & Snedeker, R. S. 1980 Turbulent vortices in stratified fluids AIAA J. 18, 738–746.Google Scholar
Hoerner, S. 1958 Fluid-Dynamic Drag. Published by the author, Midland Park, NJ.
Lamb, H. 1945 Hydrodynamics, 6th edn. Dover.
Moore, D. W. 1972 Finite amplitude waves on aircraft vortices Aero. Q. 23, 307–314.Google Scholar
Moore, D. W. & Saffman, P. G. 1972 The motion of a vortex filament with axial flow. Phil. Trans. R. Soc. Lond A 272, 403–429.Google Scholar
Olsen, J. H., Goldburg, A. & ROGERS, M. (eds.) 1971 Aircraft Wake Turbulence and its Detection. Plenum.
Panton, R. L., Oberkampf, W. L. & Soskic, N. 1980 Flight measurements of a wing tip vortex J. Aircraft 17, 250–259.Google Scholar
Saffman, P. G. 1972 The motion of a vortex pair in stratified atmosphere Stud. Appl. Math. 2, 107–119.Google Scholar
Sarpkaya, T. 1971 On stationary and travelling vortex breakdowns J. Fluid Mech. 45, 545–559.Google Scholar
Sarpkaya, T. & Johnson, S. K. 1982 Trailing vortices in stratified fluids. Naval Postgrad. School Rep. NPS-69-82-003.Google Scholar
Scorer, R. S. & Davenport, L. J. 1970 Contrails and aircraft downwash J. Fluid Mech. 43, 451–464.Google Scholar
Spreiter, J. R. & Sacks, A. H. 1951 The rolling-up of the trailing vortex sheet and its effect on the downwash behind wings J. Aero. Sci. 18, 21–33.Google Scholar
Tomassian, J. D. 1979 The motion of a vortex pair in a stratified medium. Ph.D. thesis, UCLA.
Widnall, S. E. 1975 The structure and dynamics of vortex filaments Ann. Rev. Fluid Mech. 7, 141–165.Google Scholar
Widnall, S. E., Bliss, D. B. & Salay, A. 1971 Theoretical and experimental study of the stability of a vortex pair. In Aircraft Wake Turbulence and Its Detection, pp. 305–338. Plenum.