The instability of short waves on a vortex ring

Journal of Fluid Mechanics

Volumn 66, Issue 1, 1974, Pages 35-47

  Widnall, Sheila E ^a   Bliss, Donald B ^a   Tsai, Chon Yin ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS;

VORTEX RINGS;

FLOW OF FLUIDS;

EID: 0016114894     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112074000048     Document Type: Article

References (10)

1. Bliss, D. B. 1970 The dynamics of curved rotational vortex lines. M.S. thesis, Massachusetts Institute of Technology.
2. Bliss, D. B. 1973 The dynamics of flows with high concentrations of vorticity. Ph.D. thesis, Massachusetts Institute of Technology.
3. Crow, S. C. 1970 Stability theory for a pair of trailing vortices A.I.A.A. J. 8, 2172.
4. Moore, D. W. & Saffman, P. G. 1972 The motion of a vortex filament with axial flow Phil. Trans. 272, 403–429.
5. Plobeck, L. V. 1974 Stability calculations for rotating gas flows. M.S. thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology.
6. Saffman, P. G. 1971 The velocity of viscous vortex rings Studies in Appl. Math. 49, 370–380.
7. Sullivan, J. P., Widnall, S. E. & Ezekiel, S. 1973 A study of vortex rings using a laser Doppler velocimeter A.I.A.A. J. 11, 1384–1398.
8. Thompson, J. J. 1883 A Treatise on the Motion of Vortex Rings. Macmillan.
9. Widnall, S. E., Bliss, D. B. & Zalay, A. 1971 Theoretical and experimental study of the stability of a vortex pair. In Aircraft Wake Turbulence and Its Detection, p. 305. Plenum.
10. Widnall, S. E. & Sullivan, J. P. 1973 On the stability of vortex rings. Proc. Roy. Soc A 332, 335–353.