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Diffusion from an elevated point source into a turbulent atmosphere
Author(s) -
Walters T. S.
Publication year - 1965
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300005143
Subject(s) - thermal diffusivity , point source , diffusion , turbulent diffusion , turbulence , adiabatic process , eddy diffusion , atmosphere (unit) , wind speed , constant (computer programming) , mathematics , mechanics , meteorology , physics , thermodynamics , optics , computer science , programming language
Summary A solution is obtained of the problem of diffusion from an elevated point source into a turbulent atmospheric flow over a horizontal ground z = 0. The mechanism of the turbulence is the one considered by D. R. Davies [1] when he obtained a solution of the same problem in the case when the source is at ground level, the specifications for the mean wind velocity V , and for the across‐wind diffusivity K y , and for the vertical diffusivity K z , being V α z m , K y α z m , K z α z 1− m , where m is a constant. Predictions of the solution are that the maximum concentration at ground level of the diffusing matter varies inversely as h 1·8 in adiabatic conditions, where h is source height, and that the distance downwind from the source to the point where this maximum concentration is attained varies, in these conditions, as h 1·3 .