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Turbulent dispersion from an elevated line source: measurements of wind-concentration moments and budgets

Published online by Cambridge University Press:  20 April 2006

M. R. Raupach  and
B. J. Legg
M. R. Raupach
Affiliation:
CSIRO Division of Environmental Mechanics, GPO Box 821, Canberra, ACT 2601, Australia
B. J. Legg
Affiliation:
Rothamsted Experimental Station, Harpenden, Herts, U.K.
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Abstract

Wind and tracer-concentration fluctuations, and hence the budgets for tracer variance, vertical flux and streamwise flux, have been measured in the dispersing plume from an elevated lateral line source in an equilibrium turbulent surface layer, using heat as a passive tracer. The results are analysed by testing closure assumptions for models of turbulent dispersion at first and second order. Except close to the source, a first-order (gradient-diffusion) model satisfactorily predicts both the vertical and streamwise tracer fluxes.

The tracer-variance budget is essentially a balance between advection and dissipation, with production becoming significant as fetch increases. The vertical and streamwise heat-flux budgets have advection and turbulent-transport terms which are in balance (almost exactly for the vertical flux, only approximately for the streamwise flux), leaving balances between local production and pressure-gradient interaction. The turbulence-interaction component of the pressure term cannot be modelled as $-\overline{u^{\prime}_{i}\theta^{\prime}}/\tau, \overline{u^{\prime}_{i}\theta^{\prime}}$ being the flux vector and τ a scalar timescale.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 136 , November 1983 , pp. 111 - 137
Copyright
© 1983 Cambridge University Press

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References

Antonia, R. A., Chambers, A. J. & Bradley, E. F. 1981 Temperature structure in the atmospheric surface layer II. The budget of mean cube fluctuations Boundary-Layer Met. 20, 293–307.Google Scholar
Batchelor, G. K. 1949 Diffusion in a field of homogeneous turbulence. I. Eulerian analysis Austral. J. Sci. Res. 2, 437–450.Google Scholar
Batchelor, G. K. 1957 Diffusion in free turbulent shear flows J. Fluid Mech. 3, 67–80.Google Scholar
Belorgey, M., Nguyen, A. D. & Trinite, M. 1980 Diffusion from a line source in a turbulent boundary layer with transfer to the wall. In Turbulent Shear Flows 2 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 129–142. Springer.
Bradley, E. F., Antonia, R. A. & Chambers, A. J. 1981 Temperature structure in the atmospheric surface layer. I. The budget of temperature variance Boundary-Layer Met. 20, 275–292.Google Scholar
Bradley, E. F., Antonia, R. A. & Chambers, A. J. 1982 Streamwise heat flux budget in the atmospheric surface layer Boundary-Layer Met. 23, 3–15.Google Scholar
Champagne, F. H., Sleicher, C. A. & Wehrmann, O. H. 1967 Turbulence measurements with inclined hot wires. Part 1. Heat transfer experiments with inclined hot-wire J. Fluid Mech. 28, 153–175.Google Scholar
Collis, D. C. & Williams, M. J. 1959 Two-dimensional convection from heated wires at low Reynolds numbers J. Fluid Mech. 6, 357–384.Google Scholar
Corrsin, S. 1974 Limitations of gradient-transport models in random walks and in turbulence Adv. Geophys. 18A, 25–60.Google Scholar
Deardorff, J. W. 1978 Closure of second- and third-moment rate equations for diffusion in homogeneous turbulence Phys. Fluids 21, 525–530.Google Scholar
De Boor, C. 1978 A Practical Guide to Splines. Springer.
Fackrell, J. E. & Robins, A. G. 1981 Passive emissions from point sources in turbulent boundary layers. In Proc. 3rd Symp. on Turbulent Shear Flows, September 1981, pp. 9.7–810.12. University of California at Davis.
Fackrell, J. E. & Robins, A. G. 1982 Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer J. Fluid Mech. 117, 1–26.Google Scholar
Gibson, M. M. & Launder, B. E. 1978 Ground effects on pressure fluctuations in the atmospheric surface layer J. Fluid Mech. 86, 491–511.Google Scholar
Hunt, J. C. R. & Weber, A. H. 1979 A Lagrangian statistical analysis of diffusion from a ground-level source in a turbulent boundary layer Q. J. R. Met. Soc. 105, 423–443.Google Scholar
Kaimal, J. C. 1978 Horizontal velocity spectra in an unstable surface layer J. Atmos. Sci. 35, 18–24.Google Scholar
Launder, B. E. 1976 Heat and mass transport. In Turbulence (ed. P. Bradshaw). Springer.
Legg, B. J. 1983 Turbulent diffusion from an elevated line source: Markov chain simulations of concentration and flux profiles. Q. J. R. Met. Soc. 109, 645–810.Google Scholar
Lumley, J. 1978 Computational modeling of turbulent flows Adv. Appl. Mech. 18, 124–176.Google Scholar
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, vol. 1. MIT Press.
Mulhearn, P. J. & Finnigan, J. J. 1978 Turbulent flow over a very rough, random surface Boundary-Layer Met. 15, 109–132.Google Scholar
Raupach, M. R. 1981 Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers J. Fluid Mech. 108, 363–382.Google Scholar
Raupach, M. R. & Thom, A. S. 1981 Turbulence in and above plant canopies Ann. Rev. Fluid Mech. 13, 97–129.Google Scholar
Raupach, M. R., Thom, A. S. & Edwards, I. 1980 A wind tunnel study of turbulent flow close to regularly arrayed rough surfaces Boundary-Layer Met. 18, 373–397.Google Scholar
Robins, A. G. & Fackrell, J. E. 1979 Continuous plumes – their structure and prediction. In Mathematical Modelling of Turbulent Diffusion in the Environment (ed. C. J. Harris), pp. 55–114. Academic.
Shlien, P. J. & Corrsin, S. 1976 Dispersion measurements in a turbulent boundary layer Intl J. Heat and Mass Transfer 19, 285–295.Google Scholar
Sreenivasan, K. R., Antonia, R. A. & Danh, H. Q. 1977 Temperature dissipation fluctuations in a turbulent boundary layer Phys. Fluids 20, 1238–1249.Google Scholar
Sutton, O. G. 1953 Micrometeorology. McGraw-Hill.
Warhaft, Z. & Lumley, J. L. 1978 An experimental study of the decay of temperature fluctuations in grid-generated turbulence J. Fluid Mech. 88, 659–684.Google Scholar
Wooding, R. A. 1968 A low-speed wind tunnel for model studies in micrometeorology. Austral. CSIRO Div. Plant Ind. Tech. Paper 25.Google Scholar
Wyngaard, J. C. 1980 The atmospheric boundary layer – modeling and measurements. In Turbulent Shear Flows 2 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 352–365. Springer.
Wyngaard, J. C. 1981 Boundary-layer modeling. In Atmospheric Turbulence and Air Pollution Modelling (ed. F. T. M. Nieuwstadt & H. van Dop), pp. 69–106. Reidel.
Zeman, O. 1981 Progress in the modeling of planetary boundary layers Ann. Rev. Fluid Mech. 13, 253–272.Google Scholar
Zeman, O. & Lumley, J. L. 1979 Buoyancy effects in entraining turbulent boundary layers: a second-order closure study. In Turbulent Shear Flows I (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 295–306. Springer.