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Measurement of turbulent dispersion behind a fine cylindrical heat source in a weakly sheared flow

Published online by Cambridge University Press:  26 April 2006

Myung Kyoon Chung
Affiliation:
Korea Advanced Institute of Science and Technology, Seoul, Korea
Nam Ho Kyong
Affiliation:
Korea Institute of Energy and Resources, Daeduck, Korea

Abstract

Turbulent structure in a turbulent scalar dispersion field behind a fine cylindrical heat source in a weakly sheared flow is experimentally investigated and previous computational turbulence models for third-order scalar transport terms in the second-order turbulence equations are assessed with the present data.

The mean temperature and r.m.s. temperature profiles are found to be almost Gaussian even in the uniform shear layer. Decay of the peak temperature, mean dispersion and half-widths of the mean temperature and the r.m.s. temperatures are well correlated with corresponding data on the scalar dispersion behind an elevated line heat source in the turbulent boundary layer.

Normalized streamwise heat flux $\overline{u\theta}$ changes appreciably with the downstream distance owing to the influence of the uniform mean shear, whereas normalized vertical heat flux $\overline{v\theta}$ remains the same with the downstream distance. The timescale ratio R between temperature and velocity fluctuations varies from 0.3 to 1.3 across the stream and it asymptotes to a value 0.5 at far downstream.

Assessment of previous models for third-order moments with the present data reveals that application of a composite timescale between the dynamic timescale and the thermal timescale to the simplest gradient transport model yields a better overall prediction performance than any existing models, including Lumley's algebraic model equations for the moments. It was found that the timescale for the streamwise transports of $\overline{u\theta}$ and $\overline{\theta^2}$ is larger than that of lateral transports of $\overline{v\theta}$ and $\overline{\theta^2}$.

In addition, since the experiment isolates the effect of uniform mean shear on the turbulent scalar transport, experimental data accumulated by the present study will be useful for further development of more refined second-order turbulence models for non-isothermal turbulent flows.

Type
Research Article
Copyright
© 1989 Cambridge University Press

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References

Anand, M. S. & Pope, S. B. 1985 Diffusion behind a line source in grid turbulence. In Turbulent Shear Flows 4 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 4661. Springer.
Antonia, R. A., Browne, L. W. B. & Chambers, A. J. 1981 Determination of time constants of cold wire. Rev. Sci. Instrum. 52, 13821385.Google Scholar
Budwig, R., Tavoularis, S. & Corrsin, S. 1985 Temperature fluctuations and heat flux in grid-generated isotropic turbulence with streamwise and transverse mean-temperature gradients. J. Fluid Mech. 153, 441460.Google Scholar
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech. 41, 81141.Google Scholar
Chung, M. K. & Kyong, N. H. 1986 A simple composite time scale model for third-order scalar transports. Phys. Fluids 29, 39143916.Google Scholar
Dekeyser, I. & Launder, B. E. 1985 A comparison of triple-moment temperature–velocity correlations in the asymmetric heated jet with alternative closure models. In Turbulent Shear Flow 4 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 102117. Springer.
Dupont, A., Kabiri, M. El & Paranthoen, P. 1985 Dispersion from elevated line source in a turbulent boundary layer. Intl J. Heat Mass Transfer 28, 892894.Google Scholar
Fabris, G. 1979 Conditional sampling study of turbulent wake of a cylinder. J. Fluid Mech. 94, 673709.Google Scholar
Fabris, G. 1983 Third-order conditional transport correlations in the two-dimensional turbulent wake. Phys. Fluids 26, 422427.Google Scholar
Harris, V. G., Graham, J. A. & Corrsin, S. 1977 Further experiments in nearly homogeneous turbulent shear flow. J. Fluid Mech. 81, 657687.Google Scholar
LaRue, J. C., Deaton, T. & Gibson, C. H. 1975 Measurement of high frequency turbulent temperature. Rev. Sci. Instrum. 46, 757762.Google Scholar
Launder, B. E. 1978 Heat and Mass Transport. In Turbulence (ed. P. Bradshaw), pp. 232287. Springer.
Lumley, J. L. 1978 Computational modelling of turbulent flows. Adv. Appl. Mech. 18, 123176.Google Scholar
Mehta, R. D. & Bradshaw, P. 1979 Design rules for small low speed wind tunnels. Aero. J. 5, 443451.Google Scholar
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, vol. 1. 1.
Newman, G. R., Launder, B. E. & Lumley, J. L. 1981 Modelling the behaviour of homogeneous scalar turbulence. J. Fluid Mech. 111, 217232.Google Scholar
Pope, A. & Harper, J. L. 1966 Low Speed Wind Tunnel Testing. Wiley.
Raupach, M. R. & Legg, B. J. 1983 Turbulent dispersion from elevated line source: measurements of wind-concentration moments and budgets. J. Fluid Mech. 136, 111137.Google Scholar
Reynolds, W. C. 1976 Recent advances in the computation of turbulent flows. Adv. Chem. Engng 9, 193246.Google Scholar
Rohr, J. J., Itsweire, E. C., Helland, K. N. & Van Atta, C. W. 1988 An investigation of the growth of turbulence in uniform-mean-shear flow. J. Fluid Mech. 187, 133.Google Scholar
Sawford, B. L. & Hunt, J. C. R. 1986 Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence. J. Fluid Mech. 165, 373400.Google Scholar
Shih, T. & Lumley, J. L. 1986 Influence of timescale ratio on scalar flux relaxation: modelling Sirivat & Warhaft's homogeneous passive scalar fluctuations. J. Fluid Mech. 162, 211222.CrossRefGoogle Scholar
Shlien, D. J. & Corrsin, S. 1976 Dispersion measurement in a turbulent boundary layer. Intl J. Heat Mass Transfer 19, 285295.Google Scholar
Sirivat, A. & Warhaft, Z. 1983 The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence. J. Fluid Mech. 128, 323346.CrossRefGoogle Scholar
Stapountzis, H., Sawford, B. L., Hunt, J. C. R. & Britter, R. E. 1986 Structure of the temperature field downwind of a line source in grid turbulence. J. Fluid Mech. 165, 401424.Google Scholar
Subramanian, C. S. 1980 Some properties of the larger scale structure in slightly heated turbulent boundary layer. PhD dissertation, University of Newcastle, Australia.
Subramanian, C. S. & Antonia, R. A. 1981 Effect of Reynolds number on a slightly heated turbulent boundary layer. Intl J. Heat Mass Transfer 24, 18331846.Google Scholar
Tavoularis, S. & Corrsin, S. 1981 Experiments in nearly homogeneous turbulent shear-flow with a uniform mean temperature gradient. Part 1. J. Fluid Mech. 104, 311347.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow, 2nd edn. Cambridge University Press.
Warhaft, Z. 1980 An experimental study of the effect of uniform strain on thermal fluctuations in grid-generated turbulence. J. Fluid Mech. 99, 545573.Google Scholar
Warhaft, Z. 1984 The interference of thermal fields from line sources in grid turbulence. J. Fluid Mech. 144, 363387.Google Scholar
Warhaft, Z. & Lumley, J. L. 1978 An experimental study of the decay of temperature fluctuations in grid-generated turbulence. J. Fluid Mech. 88, 659684.Google Scholar
Zeman, O. & Lumley, J. L. 1979 Buoyancy effects in entraining turbulent boundary layers: a second-order closure study. In Turbulent Shear Flows, vol. 1 (ed. E. Durst, B. E. Launder, F. W. Schmidt, J. H. Whitelaw), pp. 295306, Springer.