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Orthogonal wavelet analysis of counter gradient transport phenomena in turbulent asymmetric channel flow

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Abstract.

In this paper four families of orthogonal wavelets are applied to analyze the turbulent counter gradient transport phenomena in fully developed asymmetric channel flows. The results show that: (1) In the instance of counter gradient transport, the principal scale of the coherent structure is responsible for the strong local counter gradient transport; (2) Counter gradient transport phenomena have a strong effect on the intermittency of turbulence; (3) Non-Gaussian part of the principal coherent structure is essential for counter gradient transport phenomena.

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References

  1. Jiang, J.B., Liu, Y.L., Lu, Z.M.: Experimental and theoretical studies on negative transport phenomena in turbulent flows. Advances in Mechanics 30(2), 1–8 (2000) (in Chinese)

  2. Eskinazi, S., Yeh, H.: An investigation of fully developed turbulent flows in a curved channel. J Aeronaut Sci 23, 23–31 (1956)

    Google Scholar 

  3. Eskinazi, S., Erian, F.F.: Energy reversal in turbulent flows. Phys Fluids 12, 1988–1992 (1969)

    Google Scholar 

  4. Rose HA. Eddy diffusivity, eddy noise and subgrid-scale modeling. J Fluid Mech 81, 719–734 (1977)

    Google Scholar 

  5. Frish, U.D.: Turbulence. Cambridge: Cambridge University Press, 1995

  6. Kolmogorov, A.N.: The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers. Dokl Akad Nauk SSSR 30, 301–305 (1941)

    Google Scholar 

  7. Farge, M.: Wavelet transform and their applications to turbulence. Annu Rev Fluid Mech 232, 469–478 (1992)

    Google Scholar 

  8. Farge, M., Kevlahan, N., Perrier, V., Goirand, E.: Wavelets and turbulence. Proc IEEE 84(4), 639–669 (1996)

    Google Scholar 

  9. Hudgins, H., Friehe, C.A., Mayer, M.E.: Wavelet transforms and atmospheric turbulence. Phys Rev Lett 71, 3279–3282 (1993)

    Google Scholar 

  10. Yamada, M., Ohkitani, K.: Orthonormal expansion and its application to turbulence. Prog Theor Phys Progress Lett 86, 819–823 (1990)

    Google Scholar 

  11. Meneveau, C.: Analysis of turbulence in the orthonormal wavelet representation. J Fluid Mech 232, 469–520 (1991)

    Google Scholar 

  12. Mouri, H., Kubotani, H., Fujitani, T., Niino, H., Takaoka, M.: Wavelet analyses of velocity in laboratory isotropic turbulence. J Fluid Mech 389, 229–254 (1999)

    Google Scholar 

  13. Lu, Z.M., Liu, Y.L., Jiang, J.B.: Experimental study on turbulent characteristics in the negative transport region of asymmetric plane channel flow. Acta Mechanica Sinica 17(2), 125–132 (2001)

    Google Scholar 

  14. Li, L., Xu, C.X., Zhang, Z.S.: Study of burst phenomena in wall turbulence by wavelet analysis. Acta Mechanica Sinica 33(2), 153–162 (2001) (in Chinese)

    Google Scholar 

  15. Robinson, S.K.: Coherent motions in the turbulent boundary layer. Annu Rev Fluid Mech 23, 601–639 (1991)

    Google Scholar 

  16. She, Z.S., Leveque, E.: Universal scaling laws in fully developed turbulence. Phys Rev Lett 73(3), 336–339 (1994)

    Google Scholar 

  17. Jiang, N., Wang, Z.D., Shu, W.: Maximum energy criterion in the identification of burst events in wall turbulence by wavelet analysis. Acta Mechanica Sinica 29(4), 406–411 (1998) (in Chinese)

    Google Scholar 

  18. Liandrat, J., Moret-Bailly, F.: The wavelet transform: Some applications to fluid dynamics and turbulence. Eur J Mech 9, 1–19 (1990)

    Google Scholar 

  19. Szilagyi, J., Parlange, M.B., Katul, G.G., Albertson, J.D.: An objective method for determining principal time scales of coherent eddy structures using orthonormal wavelets. Advances in Water Resources 22, 561–566 (1999)

    Google Scholar 

  20. Onorato, M., Camussi, R., Iuso, G.: Anomalous scaling and bursting process in an experimental turbulent channel flow. Phys Rev E 61(2), 1447–1454 (2000)

    Google Scholar 

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Correspondence to Yulu Liu.

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The project supported by the National Natural Science Foundation of China (10272071, 10472063)

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Jiang, J., Qiu, X., Lu, Z. et al. Orthogonal wavelet analysis of counter gradient transport phenomena in turbulent asymmetric channel flow. ACTA MECH SINICA 21, 133–141 (2005). https://doi.org/10.1007/s10409-005-0023-0

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  • DOI: https://doi.org/10.1007/s10409-005-0023-0

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