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Abstract

The vortical structure of homogeneous turbulence is the subject of this paper. Unsteady, three dimensional vorticity is the essential attribute of turbulence. The question we address here is the distribution of this vorticity. We know that turbulence exhibits strong intermittency. Is this intermittency intertwined with an intense vortical structure? Figure 1 shows an instantaneous cross-sectional view of the turbulent flow behind a grid. The figure summarizes our notion of what homogeneous isotropic turbulence is. There is a multitude of scales, seemingly randomly distributed. There is a multitude of structures, seemingly randomly oriented. And, when observed in sequence, the pictures are changing seemingly randomly in time. The question here is if there are basic building blocks in the flow and if so, what their structures might be. A common view is that there are coherent structures which ought to be the building blocks. As to what they are seems to depend on the flow. In particular, homogeneous isotropic turbulence, which is the most studied of turbulent flows (Batchelor [1]), presents the stiffest challenge for confirmation due to the lack of large-scale vortical structures like those in shear flows. In this regard, numerical studies are ahead of experimentation. Experimentally, the question translates first to identifying and second to quantifying the building block in figure 1.

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References

  1. G. K. Batchelor, Theory of Homogeneous Turbulence, Cambridge 1956.

    Google Scholar 

  2. G. K. Batchelor and A. A. Townsend, The nature of turbulent motion at large wave numbers, Proc. R. Soc. Lond. A 199, 238–255 (1949).

    Article  MATH  Google Scholar 

  3. A. A. Townsend, On the fine-scale structure of turbulence, Proc. R. Soc. Lond. A 208, 534–542 (1951).

    Article  MATH  Google Scholar 

  4. R. M. Kerr, Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence, J. Fluid Mech. 153, 31–58 (1985).

    Article  MATH  Google Scholar 

  5. A. Vincent and M. Meneguzzi, The spatial structure and statistical properties of homogeneous turbulence, J. Fluid Mech. 225, 1–25 (1991).

    Article  MATH  Google Scholar 

  6. A. Vincent and M. Meneguzzi, The dynamics of vorticity tubes in homogeneous turbulence, J. Fluid Mech. 258, 245–254 (1994).

    Article  MATH  Google Scholar 

  7. J. Jiménez, A. A. Wray, P. G. Saffman and R. S. Rogallo, The structure of intense vorticity in isotropic turbulence, J. Fluid Mech. 255, 65–90 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  8. D. I. Pullin and P. G. Saffman, On the Lundgren-Townsend model of turbulent fine scales, Phys. Fluids A 5, 126–145 (1993).

    Article  MathSciNet  MATH  Google Scholar 

  9. H. K. Moffatt, S. Kida and K. Ohkitani, Stretched vortices — the sinews of turbulence; large-Reynolds-number asymptotics, J. Fluid Mech. 259, 241–264 (1994).

    Article  MathSciNet  Google Scholar 

  10. K. W. Schwarz, Evidence for organized small-scale structure in fully developed turbulence, Phys. Rev. Lett. 64, 415–418 (1990).

    Article  Google Scholar 

  11. Ö. Savaş, On flow visualization using reflective flakes, J. Fluid Mech. 152, 235–248 (1985).

    Article  Google Scholar 

  12. S. Douady, Y. Couder and M. E. Brachet, Direct observation of the intermittency of intense vorticity filaments in turbulence, Phys. Rev. Lett. 67, 983–986 (1991).

    Article  Google Scholar 

  13. J. D. Cusimano and O. Savaş, An experimental study of the dispersion relation of the circular waves over a disk, manuscript in preparation (1995).

    Google Scholar 

  14. A. E. Green and P. M. Naghdi, Directed fluid sheets, Proc. R. Soc. Lond. A 347, 447–473 (1976).

    Article  MathSciNet  MATH  Google Scholar 

  15. P. M. Naghdi, On the applicability of directed fluid jets to Newtonain and non-Newtonian flows, J. Non-Newtonian Fluid Mech. 5, 233–265 (1979).

    Article  MATH  Google Scholar 

  16. J. S. Marshall and P. M. Naghdi, A thermodynamical theory of turbulence I. Basic developments, Phil. Trans. R. Soc. Lond. A 327, 415–448 (1989).

    Article  MathSciNet  MATH  Google Scholar 

  17. J. S. Marshall and P. M. Naghdi, A thermodynamical theory of turbulence II. Determination of constitutive coefficients and illustrative examples, Phil. Trans. R. Soc. Lond. A 327, 449–475 (1989).

    Article  MathSciNet  MATH  Google Scholar 

  18. W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. Cambridge 1992.

    MATH  Google Scholar 

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Dedicated to Paul M. Naghdi on the occasion of his 70th birthday

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© 1995 Birkhäuser Verlag Basel/Switzerland

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Jacob, J.D., Savaş, Ö. (1995). Experimental evidence for intense vortical structures in grid turbulence. In: Casey, J., Crochet, M.J. (eds) Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9229-2_36

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  • DOI: https://doi.org/10.1007/978-3-0348-9229-2_36

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9954-3

  • Online ISBN: 978-3-0348-9229-2

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