Dispersion from a continuous ground‐level source investigated by a K model

A crosswind-integrated K model with wind profiles and K profiles described by Monin-Obukhov similarity relations is solved numerically for the case of the release of a passive substance from a point source at ground level. An extensive analysis is undertaken to compare the numerical model results with experimental results from the Prairie Grass dispersion experiments. Simulations of these experiments are carried out with and without deposition. It is shown that the numerical solution of the diffusion equation yields a good approximation to both the vertical concentration profile and the crosswind-integrated ground-level concentrations when consideration is given to the effect of deposition of the tracer. Despite considerable scatter, the measurements are seen to support the use of the eddy diffusivity of heat rather than the modified expression of that of momentum. For comparison Dyer's (1974) expressions for the eddy diffusivity of heat and momentum are also used; only minor differences are found in the performance of the two sets of expressions.

[1]  M. Barad,et al.  PROJECT PRAIRIE GRASS, A FIELD PROGRAM IN DIFFUSION. VOLUME II , 1958 .

[2]  J. A. Garland The dry deposition of sulphur dioxide to land and water surfaces , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[3]  Frans T. M. Nieuwstadt,et al.  Application of Mixed-Layer Similarity to the Observed Dispersion from a Ground-Level Source. , 1980 .

[4]  Thomas W. Hors Lagrangian Similarity Modeling of Vertical Diffusion from a Ground-Level Source , 1979 .

[5]  H. B. Keller A New Difference Scheme for Parabolic Problems , 1971 .

[6]  A. Townsend,et al.  The response of a turbulent boundary layer to abrupt changes in surface conditions , 1965, Journal of Fluid Mechanics.

[7]  Hans A. Panofsky,et al.  Profiles of Wind and Temperature from Towers over Homogeneous Terrain. , 1973 .

[8]  A numerical study on the vertical dispersion of passive contaminants from a continuous source in the atmospheric surface layer , 1978 .

[9]  J. Deardorff,et al.  A Parameterization of Diffusion into the Mixed Layer , 1975 .

[10]  A. Dyer A review of flux-profile relationships , 1974 .

[11]  A. V. Ulden,et al.  Simple estimates for vertical diffusion from sources near the ground , 1978 .

[12]  A. C. Chamberlain,et al.  Transport of gases to and from grass and grass-like surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[13]  D. A. Haugen,et al.  An experimental study of Reynolds stress and heat flux in the atmospheric surface layer , 1971 .

[14]  J. Hunt,et al.  A Lagrangian statistical analysis of diffusion from a ground‐level source in a turbulent boundary layer , 1979 .