Abstract
Dispersion from a line source into a stable boundary layer of thickness l is analysed through solution of the diffusion equation assuming an exchange coefficient K(z) ∫ (1 − z/l) 2 and wind profiles u(z) ∫ z n, with n = 0,1. Estimates of ground-level concentrations are made by developing analytic formulae where this is possible. A general method of solution using Laplace transformation and Green's function techniques is developed as an alternative to the eigenfunction expansion method discussed previously (Robson, 1983).
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References
Corrsin, S.: 1974, ‘Limitations of Gradient Transport Models in Random Walks and in Turbulence’, Adv. Geophys. 18A, 25–60.
De Baas, A. F., van Dop, H., and Nieuwstadt, F. T. M.: 1986, ‘An Application of the Langevin Equation for Inhomogeneous Conditions to Dispersion in a Convective Boundary Layer’, Quart. J. Roy. Meteorol. Soc. 112, 165–180.
Denmead, O. T. and Bradley, E. F.: 1985, ‘Flux-Gradient Relationships in a Forest Canopy’ in B. A. Hutchinson and B. B., Hicks (eds.), The Forest-Atmosphere Interaction, D. Reidel Publ. Co., Dordrecht, Holland, pp. 421–442.
Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F. G.: 1954, Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York.
Hosono, T.: 1981, ‘Numerical Inversion of Laplace Transform and Some Applications to Wave Optics’, Radio Science 16, 1015–1019.
Kumar, K., Skullerud, H. R., and Robson, R. E.: 1980, ‘Kinetic Theory of Charged Particle Swarms in Neutral Gases’, Australian J. Phys. 33, 343–448.
Kumar, K.: 1984, ‘The Physics of Swarms and Some Basic Questions of Kinetic Theory’, Phys. Reports 112, 319–375.
Nieuwstadt, F. T. M.: 1980, ‘An Analytic Solution of the Time-Dependent, One-Dimensional Diffusion Equation in the Atmospheric Boundary Layer’, Atmos. Env. 14, 1361–1364.
Nieuwstadt, F. T. M.: 1984, ‘Some Aspects of the Turbulent Stable Boundary Layer’, Boundary-Layer Meteorol. 30, 31–55.
Nokes, R. I., McNulty, A. J., and Wood, I. R.: 1984, ‘Turbulent Dispersion from a Steady Two-Dimensional Horizontal Source’, J. Fluid Mech. 149, 147–159.
Nokes, R. I.: 1985, ‘Problems in Turbulent Dispersion’, Ph. D. Thesis, University of Canterbury, New Zealand. (Also available as Research Report 86–8, Dept. Civil Engineering, Univ. Canterbury.)
Raupach, M. R.: 1986, ‘A Lagrangian Analysis of Scalar Transfer in Vegetation Canopies’, Quart. J. Roy. Meteorol. Soc. (submitted).
Robson, R. E.: 1975, ‘Nonlinear Diffusion of Ions in a Gas’, Australian J. Phys. 28, 523–531.
Robson, R. E.: 1976, ‘Diffusion Cooling of Electrons in a Finite Gas’, Phys. Rev. A13, 1536–1542.
Robson, R. E.: 1983, ‘On the Theory of Plume Trapping by an Elevated Inversion’, Atmos. Env. 17, 1923–1930.
Van Dop, H., Nieuwstadt, F. T. M., and Hunt, J. C. R.: 1985, ‘Random Walk Models for Particle Displacements in Inhomogeneous Unsteady Turbulent Flows’, Phys. Fluids 28, 1639–1653.
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Robson, R.E. Turbulent dispersion in a stable layer with a quadratic exchange coefficient. Boundary-Layer Meteorol 39, 207–218 (1987). https://doi.org/10.1007/BF00116118
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DOI: https://doi.org/10.1007/BF00116118