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A Statistical Law of Velocity Circulations in Fully Developed Turbulence

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IUTAM Symposium on Geometry and Statistics of Turbulence

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 59))

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Abstract

Numerical simulations of the Navier-Stokes equations allow us to investigate the three-dimensional field of the fluid motion at R λ ≤ 200, where R λ is the Reynolds number based on the Taylor microscale λ. It is observed in many DNSs that the region of the high amplitude vorticity has filament-like structures and the details of the geometry of the vortex filaments has been investigated (e.g., [3, 2]). The average radius of the cross section 〈R〉 is observed to be 3 ~ 6η, where η is the Kolmogorov dissipation scale.

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References

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© 2001 Springer Science+Business Media Dordrecht

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Yoshida, K., Hatakeyama, N. (2001). A Statistical Law of Velocity Circulations in Fully Developed Turbulence. In: Kambe, T., Nakano, T., Miyauchi, T. (eds) IUTAM Symposium on Geometry and Statistics of Turbulence. Fluid Mechanics and Its Applications, vol 59. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9638-1_18

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  • DOI: https://doi.org/10.1007/978-94-015-9638-1_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5614-6

  • Online ISBN: 978-94-015-9638-1

  • eBook Packages: Springer Book Archive

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