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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(2):168-178; doi:10.1093/qjmam/7.2.168
© 1954 by Oxford University Press
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ON DIFFUSION FROM A CONTINUOUS POINT SOURCE AT GROUND LEVEL INTO A TURBULENT ATMOSPHERE

D. R. DAVIES

( The University Sheffield )

A theory is developed to predict the turbulent dispersion into the atmosphere of a cloud of air-borne particles of matter, emitted uniformly and continuously from a fixed point source at ground level. The eddy diffusivity method is employed, and the work is an extension to three dimensions of the two-dimensional theory by K. L. Calder. The coefficient of lateral diffusivity at a given point is assumed to depend on both the vertical and the horizontal components of the distance of the point from the central line of the cloud emitted by the source, and an empirical method of specifying the functional dependence is suggested. In conditions of neutral atmospheric stability the formula obtained for the distribution of concentration in the important case of aerodynamically rough flow near the surface leads to theoretical results concerning cloud height and width which are in very good agreement with the observational data.


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