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The Quarterly Journal of Mechanics and Applied Mathematics 1957 10(2):214-219; doi:10.1093/qjmam/10.2.214
© 1957 by Oxford University Press
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DIFFUSION FROM AN INFINITE LINE SOURCE LYING PERPENDICULAR TO THE MEAN WIND VELOCITY OF A TURBULENT FLOW

T. S. WALTERS

( University College of Swansea )

A solution is obtained of the problem of diffusion into a turbulent atmosphere from an infinite line source of constant strength which lies at right angles to the mean wind velocity, the source being at height h above the ground. The mean wind velocity U(z) and the coefficient of diffusion K2 in the vertical direction at height z are taken to be

Roberts (see, for example, 1, p. 73), in an unpublished paper, obtained the solution for a source at ground level; here the general case is considered of an elevated source, Roberts's solution being derived from it as a special case.

Expressions are obtained for the distance xM down-wind (from the elevated source) to the point at which the ground-level concentration attains its maximum value {chi}M, and for the value of {chi}M.


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