Skip to main content
Log in

Experimental evidence of the scalar spiral range in vortical flows

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Experimental evidence of the spiral range is provided for a diffusive passive scalar. The spectral properties of the scalar patterns acquired are compared with a numerically tracked non-diffusive patch advected by the same flow and with the spiral core, obtained by processing the original pictures. The spectra of these three geometries converge towards each other with time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Axelrod D, Koppel DE, Schlessinger J, Elson E, Webb WW (1976) Mobility measurement by analysis of fluorescence photobleaching recovery kinetics. Biophys J 16:1055–1069

    Article  Google Scholar 

  • Canny J (1986) A computational approach to edge detection. IEEE Trans Pattern Anal Mach Intell 8:679–698

    Article  Google Scholar 

  • Flohr P, Vassilicos JC (1997) Accelerated scalar dissipation in a vortex. J Fluid Mech 348:295–317

    Article  MATH  MathSciNet  Google Scholar 

  • Fung JCH, Vassilicos JC (1991) Fractal dimensions of lines in chaotic advection. Phys Fluids A 3:2725–2733

    Article  MATH  MathSciNet  Google Scholar 

  • Garcia de la Cruz JM (2011) Experimental study of free surface mixing in vortical and chaotic flows. Ph. D. thesis, Imperial College London

  • García de la Cruz JM, Rossi L, Vassilicos JC (2014a) Three-dimensional Effects in quasi two-dimensional free surface scalar experiments. Exp Fluids 55(11):1–12

    Article  Google Scholar 

  • García de la Cruz JM, Rossi L, Vassilicos JC (2014b) Topologies of velocity-field stagnation points generated by a single pair of magnets in free-surface electromagnetic experiments. Phys Rev E 90:043001

    Article  Google Scholar 

  • Gilbert AD (1988) Spiral structures and spectra in two-dimensional turbulence. J Fluid Mech 193:475–497

    Article  MATH  MathSciNet  Google Scholar 

  • Guilbault GG (1973) Practical fluorescence, 2nd edn. Marcel Dekker Inc, New York

    Google Scholar 

  • Khan MAI, Vassilicos JC (2001) Scalings of scalar structure in a velocity field with coherent vortical structures. Phys Rev E 65:016304

    Article  MathSciNet  Google Scholar 

  • Meunier P, Villermaux E (2003) How vortices mix. J Fluid Mech 476:213–222

    Article  MATH  MathSciNet  Google Scholar 

  • Moffatt HK, Kamkar H (1983) On the Time-scale associated with flux expulsion. Stellar and Planetary Magnetism (ed. AM Soward), 91–97

  • Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1995) Numerical recipes in C: the art of scientific computing, 2nd edn. Cambridge University Press, Cambridge

    Google Scholar 

  • Rhines PB, Young WR (1983) How rapidly is a passive scalar mixed within closed streamlines? J Fluid Mech 133:133–145

    Article  MATH  Google Scholar 

  • Rossi L, Bocquet S, Ferrari S, Lardeau S (2009) Control of flow geometry using electromagnetic body forcing. Int J Heat Fluid Flow 30:505–513

    Article  Google Scholar 

  • Tabeling P, Burkhart S, Cardoso O, Willaime H (1991) Experimental study of freely decaying two-dimensional turbulence. Phys Rev Lett 67:3772–3776

    Article  Google Scholar 

  • Vassilicos JC, Hunt JCR (1991) Fractal dimensions and spectra of interfaces with application to turbulence. Proceedings of the royal society of London. Series A Math Phys Sci 435:505–534

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. M. García de la Cruz.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

García de la Cruz, J.M., Rossi, L. & Vassilicos, J.C. Experimental evidence of the scalar spiral range in vortical flows. Exp Fluids 56, 2 (2015). https://doi.org/10.1007/s00348-014-1879-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-014-1879-1

Keywords

Navigation