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Vortex Stretching and Filaments

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Advances in Turbulence VI

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 36))

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Abstract

Understanding the formation and of dynamics of filamentary vortices with intense vorticity in turbulent flows is of great fundamental interest. Most of the energy transfer towards dissipation occurs through these structures and their breakdown. It has been shown numerically by Siggia [1] that the regions of largest vorticity concertration in a turbulent flow look like filaments. Experimentally filaments have been observerd by Couder et al. [2] in a turbulent flow in a cylinder between two counter-rotating stirrers. They observed filaments corresponding to low pressure regions. They are generated by local stretching of the vorticity sheets [3].

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References

  1. E. D. Siggia, “Numerical study of small-scale intermittency in three-dimensional turbulence”, J. Fluids Mech. 107, 37 (1981)

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  2. O. Cadot, S. Douady, and Y. Couder, “Characterization of the low pressure filaments in three-dimensional turbulent shear flow”, Phys. Fluids. 7, (3), 630–646 (1995)

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  3. J. C. Neu, “The dynamics of stretched vortices”, J. Fluid Mech. 143, 253 (1984)

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  4. P. G. Saffman and G. R. Baker, “Vortex interactions”, Ann. Rev. Fluid Mech., 11, 95 (1979)

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  5. M. G. Hall, “Vortex breakdown”, Ann. Rev. Fluid Mech., 4, 195 (1972)

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© 1996 Kluwer Academic Publishers

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Petitjeans, P., Wesfreid, J.E. (1996). Vortex Stretching and Filaments. In: Gavrilakis, S., Machiels, L., Monkewitz, P.A. (eds) Advances in Turbulence VI. Fluid Mechanics and its Applications, vol 36. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0297-8_38

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  • DOI: https://doi.org/10.1007/978-94-009-0297-8_38

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6618-1

  • Online ISBN: 978-94-009-0297-8

  • eBook Packages: Springer Book Archive

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