Skip to main content
Log in

Correlating data: examples from turbulent wall layers

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

Abstract

Flow fields in fluid mechanics often contain regions where different physical events occur. The relative size of the regions changes as a parameter is varied. Correlating field data, either physical or DNS calculation experiments, in these situations can be aided by using ideas from matched asymptotic expansions from applied mathematics. A second situation is when two slightly different processes occur in the same spatial region. For this case, a two-term asymptotic expansion is needed. This article discusses how composite expansions and the common part matching behavior are useful in correlating data.

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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Antonia RA, Teitel M, Kim J, Browne LWB (1992) Low Reynolds-number effects in a fully developed turbulent channel flow. J Fluid Mech 236:579–605

    Article  Google Scholar 

  • Carlier J, Stanislas M (2005) “Experimental study of eddy structures in a turbulent boundary layer using PIV. J Fluid Mech 535:143–188

    Article  MATH  MathSciNet  Google Scholar 

  • Castillo L, Johansson TG (2002) Effects of the upstream conditions on a low Reynolds number turbulent boundary layer with zero pressure gradient. J Turbul 3:31

    Article  Google Scholar 

  • DeGraff DB, Eaton JK (2000) Reynolds number scaling of the flat plate turbulent boundary layer. J Fluid Mech 422:319–346

    Article  Google Scholar 

  • Del Álamo JC, Jimenez J (2003) Spectra of very large anisotropic scales in turbulent channels. Phy Fluids 15:L41–L44

    Article  Google Scholar 

  • Del Álamo JC, Jimenez J, Zandonade P, Moser RD (2004) Scaling the energy spectra in turbulent channels. J Fluid Mech 500:135–144

    Article  MATH  Google Scholar 

  • Harder KJ, Tiederman WG (1991) Drag reduction and turbulent structure in two-dimensional channel flow. Phil Trans Roy Soc Series A 336:19–28

    Article  MATH  Google Scholar 

  • Hoyas S, Jimenez J (2005) Scaling the velocity fluctuations in turbulent channels up to ReΘ = 2003, Annual Research Briefs-2005, Center for Turbulence Research, pp 351–356

  • Johansson AV, Alfredsson PH (1983) Effects of imperfect spatial resolution on measurements of wall-bounded turbulent shear flows. J Fluid Mech 137:409

    Article  Google Scholar 

  • McKee RJ (2008) Composite expansions for active and inactive motions In: The streamwise Reynolds stress of turbulent boundary layers, Phd Dissertation University of Texas

  • McKeon B (2007) Scaling and structure in high Reynolds wall-bounded flows. Phil Trans Roy Soc 365:633–876

    Google Scholar 

  • Metzger MM, Klewicki JC (2001) A comparative study on near-wall turbulence in high and low Reynolds number boundary layers. Phys Fluids 13:692–701

    Article  Google Scholar 

  • Millikan CB (1938) In: Proceedings of 5th international conference on applied mechanic, Cambridge, MA, p 386

  • Moser RD, Kim J, Mansour NN (1999) Direct numerical simulation of turbulent channel flow up to Re_tau = 590. Phys Fluids 11:943

    Article  MATH  Google Scholar 

  • Panton RL (2005) Review of wall turbulence as described by composite expansions. Appl Mech Rev 58:1–36

    Article  Google Scholar 

  • Panton RL (2007) Composite asymptotic expansions and scaling wall-turbulence. Phil Trans Roy Soc 365:733–754

    Article  MATH  MathSciNet  Google Scholar 

  • Panton RL (2009) Scaling and correlation of vorticity fluctuations in turbulent channels. Phys Fluids 21:115104 11 pp

    Article  Google Scholar 

  • Pope SB (2000) Turbulent flows. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Schlichting H, Gersten K (2000) Boundary layer theory, 8th edn. Springer, Berlin

    MATH  Google Scholar 

  • Tennekes H, Lumley JL (1972) A first course in turbulence. MIT Press, Cambridge

    Google Scholar 

  • Townsend AA (1976) The structure of turbulent shear flow, 2nd edn. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Wei T, Willmarth WW (1989) Reynolds number effects on the structure of a turbulent channel flow. J Fluid Mech 204:57–64

    Article  Google Scholar 

  • Zanoun E-S (2003) Answers to some open questions in wall-bounded laminar and turbulent shear flows. PhD thesis, Inst Fluid Mech. Friedrich-Alexander University of Erlangen-Nuremberg

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ronald L. Panton.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Panton, R.L. Correlating data: examples from turbulent wall layers. Exp Fluids 49, 279–289 (2010). https://doi.org/10.1007/s00348-010-0861-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-010-0861-9

Keywords

Navigation