Fluid Dynamics

, Volume 31, Issue 3, pp 361–370

Statistical characteristics of wall turbulence

  • N. V. Nikitin
Article

Abstract

The statistical turbulence characteristics obtained by direct numerical simulation of two flows, namely, flow in a circular pipe and flow in a channel with parallel walls, are given. The velocity profiles and the distributions of the statistical moments up to the fourth order inclusive are analyzed. The calculation results are compared with known experimental and numerical data.

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References

  1. 1.
    J. Kim, P. Moin, and R. Moser, “Turbulence statistics in fully developed channel flow at low Reynolds number,”J. Fluid Mech.,177, 133 (1987).Google Scholar
  2. 2.
    P. R. Spalart, “Direct simulation of a turbulent boundary layer up toR θ=1410,”J. Fluid Mech.,187, 61 (1988).Google Scholar
  3. 3.
    N. V. Nikitin, “Direct numerical modeling of three-dimensional turbulent flows in pipes of circular cross section,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 14 (1994).Google Scholar
  4. 4.
    N. V. Nikitin, “Spectral-finite-difference method of calculating turbulent incompressible flows in pipes and channels,”Zh. Vychisl. Mat. Matem. Fiz.,34, 909 (1994).Google Scholar
  5. 5.
    S. A. Orszag, “Numerical simulation of incompressible flows within simple boundaries. I. Galerkin (spectral) representations,”Stud. Appl. Math.,50, 293 (1971).Google Scholar
  6. 6.
    N. V. Nikitin, “Three-dimensional approach to numerical simulation of turbulence in pipes,”Dokl. Ros. Akad. Nauk,343, 767 (1995).Google Scholar
  7. 7.
    M. M. Rai and P. Moin, “Direct simulations of turbulent flows using finite-difference schemes,”J. Comp. Phys.,96, 15 (1991).Google Scholar
  8. 8.
    V. C. Patel and M. R. Head, “Some observations on skin friction and velocity profiles in fully developed pipe and channel flows,”J. Fluid Mech.,38, 181 (1969).Google Scholar
  9. 9.
    S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, “The structure of turbulent boundary layers,”J. Fluid Mech.,30, 741 (1967).Google Scholar
  10. 10.
    R. B. Dean, “Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow,”Trans. ASME, J. Fluids Engng.,100, 215 (1978).Google Scholar
  11. 11.
    J. H. Preston, “The minimum Reynolds number for a turbulent boundary layer and the selection of a transition device,”J. Fluid Mech.,3, 373 (1958).Google Scholar
  12. 12.
    B. A. Kader and A. M. Yaglom, “Similarity laws for wall turbulent flows,” in:Advances in Science and Engineering. All-Union Institute of Scientific and Technical Information. Fluid Mechanics, Vol. 15 [in Russian], VINITI, Moscow (1980), p. 81.Google Scholar
  13. 13.
    A. S. Monin and A. M. Yaglom,Statistical Hydromechanics. Theory of Turbulence, Vol. 1 [in Russian], Gidrometeoizdat, Saint Petersburg (1992).Google Scholar
  14. 14.
    N. N. Mansour, J. Kim, and P. Moin, “Reynolds-stress and dissipation-rate budgets in a turbulent channel flow,”J. Fluid Mech.,194, 15 (1988).Google Scholar
  15. 15.
    D. S. Finnicum and T. J. Hanratty, “Turbulent normal velocity fluctuations close to a wall,”Phys. Fluids,28, 1654 (1985).Google Scholar
  16. 16.
    V. V. Struminskii and V. M. Filippov, “Some features of turbulent flows,” in:Second All-Union Congress on Theoretical and Applied Mechanics, Abstracts of Proceedings [in Russian], Nauka, Moscow (1964), p. 205.Google Scholar
  17. 17.
    V. M. Filippov, “Experimental investigation of the onset and development of turbulence in pipes and channels,”Tr. TsAGI, No. 2042, 80 (1980).Google Scholar
  18. 18.
    G. Comte-Bellot,Turbulent Flow in a Channel with Parallel Walls [Russian translation], Mir, Moscow (1968).Google Scholar
  19. 19.
    H.-P. Kreplin and H. Eckelmann, “Behavior of the three fluctuating velocity components in the wall region of a turbulent channel flow,”Phys. Fluids,22, 1233 (1979).Google Scholar
  20. 20.
    R. S. Barlow and J. P. Johnston, “Structure of turbulent boundary layers on a concave surface,” Rep. MD-47, Dept. Mech. Engng. Stanford Univ., Stanford, CA, USA (1985).Google Scholar
  21. 21.
    E. R. Corino and R. S. Brodkey, “A visual study of turbulent shear flow,”J. Fluid Mech.,37, 1 (1969).Google Scholar
  22. 22.
    H. T. Kim, S. J. Kline, and W. C. Reynolds, “The production of turbulence near a smooth wall in a turbulent boundary layer,”J. Fluid Mech.,50, 133 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1996

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  • N. V. Nikitin

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