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The Quarterly Journal of Mechanics and Applied Mathematics 1954 7(4):462-467; doi:10.1093/qjmam/7.4.462
© 1954 by Oxford University Press
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ON THE PROBLEM OF DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE RELEASED AT GROUND LEVEL INTO A TURBULENT ATMOSPHERE

D. R. DAVIES

( The University Sheffield )

In this paper it is shown that O. G. Sutton's prediction formula, describing diffusion from an instantaneous point source released at ground level into a turbulent atmosphere, is a particular solution of the three-dimensional equation of mean atmospheric diffusion, satisfying the appropriate continuity and boundary conditions. The eddy diffusivity coefficients employed in the diffusion equation are expressed as power law forms of the time of diffusion (measured from the instant of generation of the cloud), the indices and proportionality constants in the power laws being specified by an application of Sutton's extension of a theorem on diffusion due to G. I. Taylor.


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