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Volumn 70, Issue 6 2, 2004, Pages

Vortex tubes in turbulence velocity fields at Reynolds numbers Re λ≃300-1300

Author keywords

[No Author keywords available]

Indexed keywords

ANEMOMETERS; ASYMPTOTIC STABILITY; BUBBLES (IN FLUIDS); COMPUTER SIMULATION; ENERGY DISSIPATION; PROBABILITY DENSITY FUNCTION; TUNGSTEN; VORTEX FLOW; WIND TUNNELS;

EID: 41349103187     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066305     Document Type: Article
Times cited : (8)

References (34)
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    • (1997) J. Phys. Soc. Jpn. , vol.66 , pp. 1331
    • Miura, H.1    Kida, S.2
  • 5
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    • H. Miura and S. Kida, J. Phys. Soc. Jpn. 66, 1331 (1997); S. Kida and H. Miura, ibid. 69, 3466 (2000); T. Makihara, S. Kida, and H. Miura, ibid. 71, 1622 (2002). The notion that vortex tubes are the most elementary structures of turbulence was put forward by these authors.
    • (2000) J. Phys. Soc. Jpn. , vol.69 , pp. 3466
    • Kida, S.1    Miura, H.2
  • 6
    • 0036336125 scopus 로고    scopus 로고
    • H. Miura and S. Kida, J. Phys. Soc. Jpn. 66, 1331 (1997); S. Kida and H. Miura, ibid. 69, 3466 (2000); T. Makihara, S. Kida, and H. Miura, ibid. 71, 1622 (2002). The notion that vortex tubes are the most elementary structures of turbulence was put forward by these authors.
    • (2002) J. Phys. Soc. Jpn. , vol.71 , pp. 1622
    • Makihara, T.1    Kida, S.2    Miura, H.3
  • 12
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    • A. Vincent and M. Meneguzzi, J. Fluid Mech. 225, 1 (1991); 258, 245 (1994).
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    • λ=429 were achieved in the direct numerical simulation of Y. Kaneda, T. Ishihara, M. Yokokama, K. Itakura, and A. Uno, Phys. Fluids 15, L21 (2003). The higher Reynolds numbers were achieved by decreasing the maximum wave number from the standard value 2/η to a nonstandard value 1/η. However, such lowered-resolution simulations are not suited to studying vortex tubes.
    • (2003) Phys. Fluids , vol.15
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  • 17
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    • note
    • Vortex tubes with radii that are comparable to the Kolmogorov length η do not produce sufficiently low pressure to be observable in bubble visualization, which is thereby biased toward vortex tubes with the larger radii [8].
  • 23
    • 0037718262 scopus 로고    scopus 로고
    • H. Mouri, A. Hori, and Y. Kawashima, Phys. Lett. A 276, 115 (2000); Phys. Rev. E 67, 016305 (2003).
    • (2003) Phys. Rev. E , vol.67 , pp. 016305
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    • note
    • The two wires individually respond to all the u, v, and w components. Since the measured u component corresponds to the sum of the responses of the two wires, it is contaminated with the w component. The contamination is measured as an increase of the streamwise velocity. Since the measured v component corresponds to the difference of the responses, it is free from the w component.
  • 28
    • 33646979459 scopus 로고    scopus 로고
    • note
    • λ, the probability density distributions of the velocity increment in Fig. 3 are nearly the same. This is because the energy-containing scale, which is comparable to the integral length L, and the scale δx for the velocity increment are nearly the same. The scale range for the energy cascade is nearly the same.
  • 29
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    • edited by S. Kida and S. Goto (Research Institute for Mathematical Sciences, Kyoto), (in Japanese)
    • K. Sassa, in Generation-Sustenance Mechanism and Statistical Law of Turbulence, edited by S. Kida and S. Goto (Research Institute for Mathematical Sciences, Kyoto, 2002), p. 154 (in Japanese).
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    • Sassa, K.1
  • 30
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    • note
    • The observed positive excursion is partially attributable to fluctuation of the velocity U+ u at which a vortex tube passes the probe. Under Taylor's frozen-eddy hypothesis, the velocity increment over the given small scale is more enhanced for a faster-moving tube, which is more likely to be incorporated in our conditional averaging [18].
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    • A. Tsinober, E. Kit, and T. Dracos, J. Fluid Mech. 242, 169 (1992); M. Kholmyansky, A. Tsinober, and S. Yorish, Phys. Fluids 13, 311 (2001).
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    • Tsinober, A.1    Kit, E.2    Dracos, T.3
  • 33
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    • note
    • While experimental curves represent mere loci of discrete data points in Figs. 1-3, smoothing has been applied to the tails of the probability density distributions in Figs. 4 and 6.


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