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Enhancement of finite Reynolds number effects: Inner-outer sublayer interaction in the turbulent boundary layer

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Abstract

Residual Reynolds number effects in the established data for the velocity profile in turbulent boundary layers (and in pipe or channel flows) are found to be remarkably large. We combine two eddy-viscosity models (with overlapping validity in the inertial sublayer) and show (both analytically and numerically) that this enhancement (which involves a viscous correlation length) arises from inner-outer sublayer interaction.

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References

  1. Antonia, R.A., Teitel, M., Kim, J. and Browne, L.W.B., Low-Reynolds number effects in a fully developed turbulent channel flow.J. Fluid Mech. 236 (1992) 579–605.

    Article  ADS  Google Scholar 

  2. Coles, D. and Hirst, E.A., Computation of turbulent boundary layers. 1968 AFO SR-IFP-Stanford Conference, Dept. Mech. Engin., Stanford University (1969).

  3. Dekker, H., Diffusive K-theory: Finite geometry effects. Rep. No. 0310A (1992).

  4. Dekker, H. and van Eijk, A.M.J., Enhancement of finite Reynolds number effects in the turbulent boundary layer due to inner-outer sublayer interaction. In: Gavrilakis, S., Machiels, L. and Monkewitz, P.A. (eds),Advances in Turbulence VI. (Proceedings of ETC-VI). Kluwer Academic Publishers, Dordrecht (1996) pp. 63–64.

    Google Scholar 

  5. Dekker, H., de Leeuw, G. and Maassen van den Brink, A., Kubo-Anderson mixing in the turbulent boundary layer.Mod. Phys. Lett. B 8 (1994) 1655–1660.

    Article  ADS  Google Scholar 

  6. Dekker, H., de Leeuw, G. and Maassen van den Brink, A., Stochastic theory of turbulence mixing by finite eddies in the turbulent boundary layer. In: Benzi, R. (ed.),Advances in Turbulence V (Proceedings of ETC-V). Kluwer Academic Publishers, Dordrecht (1995) pp. 100–104.

    Google Scholar 

  7. Dekker, H., de Leeuw, G. and Maassen van den Brink, A., Nonlocal stochastic mixing-length theory and the velocity profile in the turbulent boundary layer.Physica A 218 (1995) 335–374.

    Article  ADS  Google Scholar 

  8. Dekker, H., de Leeuw, G. and Maassen van den Brink, A., Boundary-layer turbulence as a kangaroo process.Phys. Rev. E. 52 (1995) 2549–2558.

    Article  MathSciNet  ADS  Google Scholar 

  9. Hinze, J.O.,Turbulence. McGraw-Hill, New York (1975).

    MATH  Google Scholar 

  10. Laufer, J., Investigation of turbulent flow in a two-dimensional channel. Natl. Adv. Com. Aeronaut. Rep. No. 1033 (1951).

  11. Laufer, J., The structure of turbulence in fully developed pipe flow. Natl. Adv. Com. Aeronaut. Rep. No. 1174 (1954).

  12. Longwell, P.A.,Mechanics of Fluid Flow, McGraw-Hill, New York (1966).

    Google Scholar 

  13. Nikuradse, J., Gesetzmässigkeiten der turbulenten Strömung in glatten Röhren. VDI-Forschungsheft No. 356 (1932).

  14. Patel, V.C. and Head, M.R., Some observations on skin friction and velocity profiles in fully developed pipe and channel flows.J. Fluid Mech. 38 (1969) 181–201.

    Article  ADS  Google Scholar 

  15. Purtell, L.P., Klebanoff, P.S. and Buckley, F.T., Turbulent boundary layer at low Reynolds number.Phys. Fluids 24 (1981) 802–811.

    Article  ADS  Google Scholar 

  16. Schlinger, W.G. and Sage, B.H., Velocity distribution between parallel plates.Indust. Engin. Chem. 45 (1953) 2636–2639.

    Article  Google Scholar 

  17. Senecal, V.E. and Rothfus, R.R., Transition flow of fluids in smooth tubes.Chem. Engin. Prog. 49 (1953) 533–538.

    Google Scholar 

  18. Stull, R.B.,An Introduction to Boundary Layer Meteorology. Kluwer Academic Publishers, Dordrecht (1988).

    MATH  Google Scholar 

  19. Wei, T. and Willmarth, W.W., Reynolds-number effects on the structure of a turbulent channel flow.J. Fluid Mech. 204 (1989) 57–95.

    Article  ADS  Google Scholar 

  20. Zagarola, M.V. and Smits, A.J., Scaling of the mean velocity profile for turbulent pipe flow.Phys. Rev. Lett. 78 (1997) 239–242.

    Article  ADS  Google Scholar 

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Dekker, H., Van Eijk, A.M.J. Enhancement of finite Reynolds number effects: Inner-outer sublayer interaction in the turbulent boundary layer. Appl. Sci. Res. 57, 211–221 (1996). https://doi.org/10.1007/BF02506060

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  • DOI: https://doi.org/10.1007/BF02506060

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