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The Effect of Reynolds Number on the Passive Scalar Field in the Turbulent Wake of a Circular Cylinder

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Abstract

In this paper we investigate by experiments the effect of Reynolds number on a passive scalar (temperature) field in the turbulent wake of a slightly heated circular cylinder. The Reynolds number defined by Re≡U ∞ d/ν (see Nomenclature) is varied from Re= 1200 to Re= 8600. Temperature differential above ambient is chosen to be the passive scalar quantity. Present measurements are conducted using a cold wire (0.63 μm) probe.

Results obtained suggest that Reynolds number in general has significant influence on the scalar mixing characteristics in the entire wake flow. Specifically, as Re increases, the mean scalar spreads out more rapidly, the scalar fluctuation intensity increases; however, its variance decays at a lower rate with downstream distance. It is also found that an increase of Re accelerates the streamwise evolution of the scalar probability density function from highly non-Gaussianity to near Gaussianity along the wake centreline. This reflects the reduction in length of the Karman-vortex street caused by an increase of Re.

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References

  1. Townsend, A., The fully developed turbulent wake of a circular cylinder. Australian J. Sci. Res. 2A (1949) 451-468.

    Google Scholar 

  2. Roshko, A., Experiments on the flow past a circular cylinder at very high Reynolds number. J. Fluid Mech. 10 (1961) 345-364.

    Google Scholar 

  3. Fabris, G., Conditional sampling study of the turbulent wake of a cylinder. Part 1. J. Fluid Mech. 94 (1979) 673-709.

    Google Scholar 

  4. Cantwell, B. and Coles, D., An experimental study of entrainment and transport in the turbulent near wake of a circular cylinder. J. Fluid Mech. 136 (1983) 321-374.

    Google Scholar 

  5. Wygnanski, I., Champagne, F. and Marasli, B., On the large-scale structures in two-dimensional, small-deficit, turbulent wakes. J. Fluid Mech. 168 (1986) 31-71.

    Google Scholar 

  6. Antonia, R.A. and Browne, L.W.B., Anisotropy of the temperature dissipation in a turbulent wake. J. Fluid Mech. 163 (1986) 393-403.

    Google Scholar 

  7. Cimbala, J.M., Nagib, H.M. and Roshko, A., Large structure in the far wakes of two-dimensional bluff bodies. J. Fluid Mech. 190 (1988) 265-298.

    Google Scholar 

  8. Mi, J. and Antonia, R.A., Vorticity characteristics of the intermediate turbulent wake, Expts. Fluids 20 (1996) 383-392.

    Google Scholar 

  9. Kiya, M. and Matsumura, M., Turbulence structure in the intermediate wake of a circular cylinder. Bull. JSME 28 (1985) 2617-2624.

    Google Scholar 

  10. Tritton, D.J., Physical Fluid Dynamics, 2nd edn. Oxford University Press, Oxford (1988).

    Google Scholar 

  11. Antonia, R.A., Browne, L.W.B., Bisset, D.K. and Fulachier, L., A description of the organized motion in the turbulent far-wake of a cylinder at low Reynolds number. J. Fluid Mech. 184 (1987) 423-444.

    Google Scholar 

  12. Townsend, A.A., The Structure of Turbulent Shear Flow. Cambridge University Press, Cambridge (1979).

    Google Scholar 

  13. Gerrard, J.H., A disturbance-sensitive Reynolds number range of flow past a circular cylinder. J. Fluid Mech. 22 (1965) 187-196.

    Google Scholar 

  14. Lin, J.-C., Towfighi, J. and Rockwell, D., Instantaneous structure of the near-wake of a circular cylinder: On the effect of Reynolds number. J. Fluids Struct. 9 (1995) 409-418.

    Google Scholar 

  15. Roshko, A. and Fiszdon, W., On the persistence of transition in the near wake. In: Problems of Hydrodynamics and Continuum Mechanics. Society for Industrial and Applied Mathematics, Philadelphia (1969) pp. 606-616.

    Google Scholar 

  16. Zhou, Y., Antonia, R.A. and Tsang, W.K., The effect of Reynolds number on a turbulent far-wake. Expts. Fluids 25 (1998) 118-125.

    Google Scholar 

  17. Namer, I. and Ötügen, M.V., Velocity measurements in a plane turbulent air jet at moderate Reynolds numbers. Expts. Fluids 6 (1988) 387-399.

    Google Scholar 

  18. Freymuth, P. and Uberoi, M.S., Structure of temperature fluctuations in the turbulent wake behind a heated cylinder. Phys. Fluids 14 (1971) 2574-2580.

    Google Scholar 

  19. Mi, J. and Antonia, R.A., Thermal characteristics of turbulent vortices in the wake of a circular cylinder. In: Durst, F., Launder, B.E., Schmidt, F.W. and Whitelaw, J.H. (eds), Turbulent Shear Flows 9, Springer-Verlag, Berlin (1995) pp. 165-185.

    Google Scholar 

  20. Williamson, C.H.K., Vortex dynamics in the cylinder wake. Ann. Rev. Fluid Mech. 28 (1996) 477-539.

    Google Scholar 

  21. Paranthoen, P., Petit, C. and Lecordier, J.C., The effect of thermal prong-wire interaction on the response of a cold wire in gaseous flows (air, argon and helium). J. Fluid Mech. 124 (1982) 457-473.

    Google Scholar 

  22. Rehab, H., Antonia, R.A. and Djenidi, L., Streamwise evolution of a high Schmidt-number in a turbulent plane wake. Expts. Fluids 31 (2001) 186-192.

    Google Scholar 

  23. Hayakawa, M. and Hussain, A.K.M.F., Three dimensionality of organized structures in a plane turbulent wake. J. Fluid Mech. 206 (1989) 375-404.

    Google Scholar 

  24. Balachandar, R., Chu, V.H. and Zhang, J., Experimental study of turbulent concentration field in the wake of a bluff body. J. Fluid Eng. 119 (1997) 263-270.

    Google Scholar 

  25. Tennekes, H. and Lumley, J.L., A First Course in Turbulence. The MIT Press, MA (1972).

    Google Scholar 

  26. Sreenivasan, K.R., Evolution of the centreline probability density function of temperature in a plane turbulent wake. Phys. Fluids 24 (1981) 1232-1234.

    Google Scholar 

  27. LaRue, J.C. and Libby, P.A., Temperature and intermittency in the turbulent wake of a heated cylinder. Phys. Fluids 17 (1974) 873-878.

    Google Scholar 

  28. Mi, J. and Antonia, R.A., Evolution of centreline temperature skewness in a circular cylinder wake. Int. Community Heat Mass Transf. 26 (1999) 45-53.

    Google Scholar 

  29. Tong, C. and Warhaft, Z., Passive scalar dispersion and mixing in a turbulent jet. J. Fluid Mech. 292 (1995) 1-38.

    Google Scholar 

  30. Heskestad, G., Hot-wire measurements in a plane turbulent jet. J. Appl. Mech. 115 (1965) 721-734.

    Google Scholar 

  31. Deo, R.C., Mi, J. and Nathan, G.J., The effect of Reynolds number on the momentum field of a turbulent plane jet. J. Turbulence(2004), submitted.

  32. Dimotakis, P., The mixing transition in turbulent flows. J. Fluid Mech. 409 (2001) 69-98.

    Google Scholar 

  33. Mi, J. and Antonia, R.A., Effect of large-scale intermittency and mean shear on scaling-range exponents in a turbulent jet. Phys. Rev. E 64 (2001) 026302.

    Google Scholar 

  34. Sreenivasan, K.R., The passive scalar spectrum and the Obukhov-Corrsin constant. Phys. Fluids 8 (1996) 189-196.

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, University of Adelaide, South Australia, Australia

    J. Mi, Y. Zhou & G.J. Nathan

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  1. J. Mi
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  2. Y. Zhou
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  3. G.J. Nathan
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Correspondence to J. Mi.

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Mi, J., Zhou, Y. & Nathan, G. The Effect of Reynolds Number on the Passive Scalar Field in the Turbulent Wake of a Circular Cylinder. Flow, Turbulence and Combustion 72, 311–331 (2004). https://doi.org/10.1023/B:APPL.0000044399.28902.2d

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  • DOI: https://doi.org/10.1023/B:APPL.0000044399.28902.2d

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