Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-18T17:05:28.186Z Has data issue: false hasContentIssue false
  • English
  • Français

A turbulent-transport model for concentration fluctuations and fluxes

Published online by Cambridge University Press:  20 April 2006

R. I. Sykes ,
W. S. Lewellen  and
S. F. Parker
R. I. Sykes
Affiliation:
Aeronautical Research Associates of Princeton, Inc., 50 Washington Road, P.O. Box 2229, Princeton, New Jersey 08540
W. S. Lewellen
Affiliation:
Aeronautical Research Associates of Princeton, Inc., 50 Washington Road, P.O. Box 2229, Princeton, New Jersey 08540
S. F. Parker
Affiliation:
Aeronautical Research Associates of Princeton, Inc., 50 Washington Road, P.O. Box 2229, Princeton, New Jersey 08540
Get access Rights & Permissions [Opens in a new window]

Abstract

A second-order closure model describing the diffusion of a passive scalar from a small source is presented. The model improves upon the earlier work of Lewellen & Teske (1976) by ensuring the early stage of the release, the so-called meander phase, is accurately described. In addition to the mean concentration and scalar fluxes, a model equation for the evolution of the scalar variance is proposed. The latter introduces a new lengthscale which represents the scale of the concentration fluctuations. The model predictions are compared with the recent experimental data of Fackrell & Robins (1982a, b).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 139 , February 1984 , pp. 193 - 218
Copyright
© 1984 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Antonopoulos-Domis, M. 1981 Large-eddy simulation of a passive scalar in isotropic turbulence J. Fluid Mech. 104, 55–79.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1979a The relative diffusion of a cloud of passive contaminant in incompressible turbulent flow J. Fluid Mech. 91, 337–355.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1979b Measurements of concentration fluctuations in relative turbulent diffusion J. Fluid Mech. 94, 83–101.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1980 Some turbulent diffusion invariants J. Fluid Mech. 97, 405–416.Google Scholar
Csanady, G. T. 1967 Concentration fluctuations in turbulent diffusion J. Atmos. Sci. 24, 21–28.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
Donaldson, C. Dup. 1973 Atmospheric turbulence and the dispersal of atmospheric pollutants. In Proc. AMS Workshop on Micrometeorology (ed. D. A. Haugen). Science Press, Boston.
Durbin, P. A. 1980 A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence J. Fluid Mech. 100, 279–302.Google Scholar
Durbin, P. A. 1982 Analysis of the decay of temperature fluctuations in isotropic turbulence Phys. Fluids 25, 1328–1332.Google Scholar
El Tahry, S., Gosman, A. D. & Launder, B. E. 1981 The two- and three-dimensional dispersal of a passive scalar in a turbulent boundary layer Intl J. Heat Mass Transfer 24, 35–46.Google Scholar
Fackrell, J. E. & Robins, A. G. 1982a Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer J. Fluid Mech. 117, 1–26.Google Scholar
Fackrell, J. E. & Robins, A. G. 1982b The effects of source size on concentration fluctuations in plumes. Boundary-Layer Met. 22, 335–350.Google Scholar
Gad-El-Hak, M. & Morton, J. B. 1979 Experiments on the diffusion of smoke in isotropic turbulent flow AIAA J. 17, 558–562.Google Scholar
Gibson, M. & Launder, B. E. 1978 Ground effects on pressure fluctuations in the atmospheric boundary layer J. Fluid Mech. 67, 569–581.Google Scholar
Gifford, F. 1959 Statistical properties of a fluctuating plume dispersal model Adv. Geophys. 6, 117–137.Google Scholar
Hay, J. S. & Pasquill, F. 1959 Diffusion from a continuous source in relation to the spectrum and scale of turbulence Adv. Geophys. 6, 345–365.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure J. Fluid Mech. 67, 537–566.Google Scholar
Leslie, D. C. 1973 Developments in the Theory of Turbulence. Oxford University Press.
Lewellen, W. S. 1977 Use of invariant modelling. In Handbook of Turbulence (ed. W. Frost & T. M. Moulden). Plenum.
Lewellen, W. S. 1981 Modelling the lowest 1 km of the atmosphere. AGARD-AG-267.Google Scholar
Lewellen, W. S. & Teske, M. E. 1976 Second-order closure modelling of diffusion in the atmospheric boundary layer Boundary-Layer Met. 10, 69–90.Google Scholar
Lumley, J. L. & KHAJEH-NOURI, B. 1974 Computational modelling of turbulent transport. In Proc. 2nd IUGG—IMIAM Symp. on Atmospheric Diffusion in Environmental Pollution. Academic.
Murthy, C. R. & Csanady, G. T. 1971 Experimental studies of relative diffusion in Lake Huron J. Phys. Oceanogr. 1, 17–24.Google Scholar
Newman, G. R. & Herring, J. R. 1979 A test field model study of passive scalar in isotropic turbulence J. Fluid Mech. 94, 163–194.Google Scholar
Newman, G. R., Launder, B.E. & Lumley, J. L. 1981 Modelling the behaviour of homogeneous scalar turbulence J. Fluid Mech. 111, 217–232.Google Scholar
Sawford, B. L. 1982 Comparison of some different approximations in the statistical theory of relative dispersion Q. J. R. Met. Soc. 108, 191–208.Google Scholar
Smith, F. B. & Hay, J. S. 1961 The expansion of clusters of particles in the atmosphere Q. J. R. Met. Soc. 87, 89–91.Google Scholar
Taylor, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. (Ser. 2), 20, 196–211.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, 659–684.Google Scholar
Wilson, D. J., Robins, A. G. & Fackrell, J. E. 1982 Predicting the spatial distribution of concentration fluctuations from a ground level source Atmos. Env. 16, 497–504.Google Scholar
Wilson, D. J., Fackrell, J. E. & Robins, A. G. 1982 Concentration fluctuations in an elevated plume: a diffusion—dissipation approximation. Atmos. Environ. 16, 2581–2589.Google Scholar