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The velocity of viscous vortex rings. (English) Zbl 0224.76032


MSC:

76M35 Stochastic analysis applied to problems in fluid mechanics
76D33 Waves for incompressible viscous fluids
76B47 Vortex flows for incompressible inviscid fluids
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References:

[1] Batchelor, An introduction to fluid dynamics (1967) · Zbl 0152.44402
[2] Fraenkel, On steady vortex rings of small cross section in an ideal fluid, Proc. Roy. Soc. A (1970) · Zbl 0195.55101
[3] Hicks, On the steady motion and the small vibrations of a hollow vortex, Phil. Trans. A 175 pp 183– (1884) · Zbl 1323.05007
[4] Lamb, Hydrodynamics (1932)
[5] Moffatt, The degree of knottedness of tangled vortex lines, J. Fluid Mech. 35 pp 117– (1969) · Zbl 0159.57903
[6] Phillips, The final period of decay of nonhomogeneous turbulence, Proc. Camb. Phil. Soc. 52 pp 135– (1956) · Zbl 0070.43201
[7] Tung, Motion and decay of a vortex ring, Phys. Fluids 10 pp 901– (1967)
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