A turbulent-transport model for concentration fluctuations and fluxes

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 (1982 a, b ).

[1]  D. J. Wilson,et al.  Predicting the spatial distribution of concentration fluctuations from a ground level source , 1982 .

[2]  A. Robins,et al.  Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer , 1982, Journal of Fluid Mechanics.

[3]  Paul A. Durbin,et al.  A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence , 1980, Journal of Fluid Mechanics.

[4]  P. C. Chatwin,et al.  Measurements of concentration fluctuations in relative turbulent diffusion , 1979, Journal of Fluid Mechanics.

[5]  F. Gifford,et al.  Statistical Properties of a Fluctuating Plume Dispersion Model , 1959 .

[6]  A. D. Gosman,et al.  The two- and three-dimensional dispersal of a passive scalar in a turbulent boundary layer , 1981 .

[7]  G. T. Csanady Concentration Fluctuations in Turbulent Diffusion , 1967 .

[8]  G. Csanady,et al.  Experimental Studies of Relative Diffusion in Lake Huron , 1971 .

[9]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[10]  D. J. Wilson,et al.  Concentration fluctuations in an elevated plume: a diffusion-dissipation approximation , 1982 .

[11]  Geoffrey Ingram Taylor,et al.  Diffusion by Continuous Movements , 1922 .

[12]  Brian Launder,et al.  On the effects of a gravitational field on the turbulent transport of heat and momentum , 1975, Journal of Fluid Mechanics.

[13]  J. Deardorff Closure of second‐ and third‐moment rate equations for diffusion in homogeneous turbulence , 1978 .

[14]  Brian Launder,et al.  Modelling the behaviour of homogeneous scalar turbulence , 1981, Journal of Fluid Mechanics.

[15]  Zellman Warhaft,et al.  An experimental study of the decay of temperature fluctuations in grid-generated turbulence , 1978, Journal of Fluid Mechanics.

[16]  B. Launder,et al.  Ground effects on pressure fluctuations in the atmospheric boundary layer , 1978, Journal of Fluid Mechanics.

[17]  F. Pasquill,et al.  Diffusion from a Continuous Source in Relation to the Spectrum and Scale of Turbulence , 1959 .

[18]  J. B. Morton,et al.  Experiments on the Diffusion of Smoke in Isotropic Turbulent Flow , 1978 .

[19]  M. Antonopoulos-Domis,et al.  Large-eddy simulation of a passive scalar in isotropic turbulence , 1981, Journal of Fluid Mechanics.

[20]  A. Robins,et al.  The effects of source size on concentration fluctuations in plumes , 1982 .

[21]  J. Herring,et al.  A test field model study of a passive scalar in isotropic turbulence , 1979, Journal of Fluid Mechanics.

[22]  The relative diffusion of a cloud of passive contaminant in incompressible turbulent flow , 1979 .

[23]  F. B. Smith,et al.  The expansion of clusters of particles in the atmosphere , 1961 .

[24]  M. E. Teske,et al.  Second-order closure modeling of diffusion in the atmospheric boundary layer , 1976 .