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Response of mean turbulent energy dissipation rate and spectra to concentrated wall suction

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Abstract

The response of mean turbulent energy dissipation rate and spectra to concentrated suction applied through a porous wall strip has been quantified. Both suction and no suction data of the spectra collapsed reasonably well for Kolmogorov normalised wavenumber k *1  > 0.2. Similar results were also observed for second-order structure functions (not shown) for Kolmogorov normalised radius r* < 10. Although, the quality of collapsed is poorer for transverse component, the result highlights that Kolmogorov similarity hypothesis is reasonably well satisfied. However, the suction results shows a significant departure from the no suction case of the Kolmogorov normalised spectra and second-order structure functions for k *1  < 0.2 and r* > 20, respectively. The departure at the larger scales with collapse at the small scales suggests that suction induce a change in the small-scale motion. This is also reflected in the alteration of mean turbulent energy dissipation rate and Taylor microscale Reynolds number. This change is a result of the weakening of the large-scale structures. The effect is increased as the suction rate is increased.

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References

  • Antonia RA (1973) Some small scale properties of boundary layer turbulence. Phys Fluids 16(8):1198–1206

    Article  Google Scholar 

  • Antonia RA, Kim J (1994) A numerical study of local isotropy of turbulence. Phys Fluids 6:834–841

    Article  Google Scholar 

  • Antonia RA, Kim J, Browne LWB (1991) Some characteristics of small-scale turbulence in a turbulent duct flow. J Fluid Mech 233:369–388

    Article  MATH  Google Scholar 

  • Antonia RA, Spalart PR, Mariani P (1994) Effect of suction on the near-wall anisotropy of a turbulent boundary layer. Phys Fluids 6:430–432

    Article  Google Scholar 

  • Antonia RA, Zhu Y, Sokolov M (1995) Effect of concentrated wall suction on a turbulent boundary layer. Phys Fluids 7:2465–2475

    Article  Google Scholar 

  • Durbin PA, Speziale CG (1991) Local anisotropy in strained turbulence at high Reynolds numbers. Trans ASME I: J Fluids Eng 113:707–709

    Article  Google Scholar 

  • Fulachier L, Elena M, Verollet E, Dumas R (1982) Suction effects on the structure of the turbulent boundary layer on a heated porous wall. In: Zaric ZP (ed) Structure of turbulence in heat and mass transfer. Hemisphere, New York, pp 193–220

    Google Scholar 

  • Kim HT, Kline SJ, Reynolds WC (1971) The production of turbulence near a smooth wall in a turbulent boundary layer. J Fluid Mech 50:133–160

    Article  Google Scholar 

  • Kline SJ, Reynolds WC, Schraub FA, Runstadler PW (1967) The structure of turbulent boundary layers. J Fluid Mech 30:741–773

    Article  Google Scholar 

  • Kolmogorov AN (1941) The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. Dokl Akad Nauk SSSR 30:301–305

    Google Scholar 

  • Lee MJ, Kim J, Moin P (1990) Structure of turbulence at high shear rate. J Fluid Mech 216:561–583

    Article  Google Scholar 

  • Martinez DO, Chen S, Doolen GD, Kraichnan RH, Wang L-P, Zhou Y (1997) Energy spectrum in the dissipative range of fluid turbulence. J Plasma Phys 57:195–201

    Article  Google Scholar 

  • Monin AS, Yaglom AM (1975) Statistical fluid mechanics. In: Lumley JL (ed) Mechanics of turbulence, vol 2. MIT Press, Cambridge

    Google Scholar 

  • Oyewola O, Djenidi L, Antonia RA (2003) Combined effect of Reynolds number and localised wall suction on a turbulent boundary layer. Exp Fluids 35:199–206

    Article  Google Scholar 

  • Oyewola O, Djenidi L, Antonia RA (2004a) Influence of localised wall suction on the anisotropy of the Reynolds stress tensor in a turbulent boundary layer. Exp Fluids 37:187–193

    Article  Google Scholar 

  • Oyewola O, Djenidi L, Burattini P, Antonia RA (2004b) Effect of localised wall suction on the small-scale motion in a turbulent boundary layer. Proceedings of 15th Australasian fluid mechanics conference, Sydney, (Online version: http://www.aeromech.usyd.edu.au/15afmc, AFMC00106)

  • Perry AE, Abell CJ (1975) Scaling laws for pipe-flow turbulence. J Fluid Mech 67:257–271

    Article  Google Scholar 

  • Perry AE, Abell CJ (1977) Asymptotic similarity of turbulence structures in smooth- and rough-walled pipes. J Fluid Mech 79:785–799

    Article  Google Scholar 

  • Perry AE, Henbest S, Chong MS (1986) A theoretical and experimental study of wall turbulence. J Fluid Mech 165:163–199

    Article  MATH  MathSciNet  Google Scholar 

  • Perry AE, Lim KL, Henbest S (1987) An experimental study of the turbulence structure in smooth- and rough-wall boundary layers. J Fluid Mech 177:437–466

    Article  Google Scholar 

  • Shah DA, Antonia RA (1989) Scaling of the bursting period in turbulent boundary layer and ducts flows. Phys Fluid A 1:318–325

    Article  Google Scholar 

  • Spalart PR (1988) Direct simulation of a turbulent boundary layer up to Rθ = 1410. J Fluid Mech 187:61–98

    Article  MATH  Google Scholar 

  • Sreenivasan KR (1985) On the fine-scale intermittency of turbulence. J Fluids Mech 151:81

    Article  Google Scholar 

  • Sreenivasan KR (1995) On the universality of the Kolmogorov constant. Phys Fluids 7:2778–2784

    Article  MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  • Uberoi MS (1957) Equipartition of energy and local isotropy in turbulent flows. J Appl Phys 28:1165–1170

    Article  MATH  Google Scholar 

Download references

Acknowledgments

RAA acknowledged the support of the Australian Research Council.

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Authors and Affiliations

  1. Discipline of Mechanical Engineering, School of Engineering, The University of Newcastle, Callaghan, NSW, 2308, Australia

    O. Oyewola, L. Djenidi & R. A. Antonia

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  1. O. Oyewola
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  2. L. Djenidi
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  3. R. A. Antonia
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Correspondence to O. Oyewola.

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Oyewola, O., Djenidi, L. & Antonia, R.A. Response of mean turbulent energy dissipation rate and spectra to concentrated wall suction. Exp Fluids 44, 159–165 (2008). https://doi.org/10.1007/s00348-007-0386-z

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  • DOI: https://doi.org/10.1007/s00348-007-0386-z

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