Regime Diagrams for KTheory Dispersion
 Ronald B. Smith
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In atmospheric dispersion, the “nonGaussian” effects of gravitational settling, the vertical gradient in diffusivity and the surface deposition do not enter uniformly but rather break up parameter space into several discrete regimes. Here, we describe regime diagrams that are constructed for Ktheory dispersion of effluent from a surface line source in unsheared inhomogeneous turbulence, using a previously derived Fourier–Hankel method. This Ktheory formulation differs from the traditional one by keeping a nonzero diffusivity at the ground. This change allows for turbulent exchange between the canopy and the atmosphere and allows new natural length scales to emerge. The axes on the regime diagrams are nondimensional distance defined as the ratio of downwind distance to the characteristic length scale for each effect. For each value of the ratio of settling speed to the K gradient, two to four regimes are found. Concentration formulae are given for each regime. The regime diagrams allow real dispersion problems to be categorized and the validity of endstate concentration formulae to be judged.
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 Title
 Regime Diagrams for KTheory Dispersion
 Journal

BoundaryLayer Meteorology
Volume 139, Issue 3 , pp 501519
 Cover Date
 20110601
 DOI
 10.1007/s1054601195944
 Print ISSN
 00068314
 Online ISSN
 15731472
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Deposition
 Diffusion
 Dispersion
 Ktheory
 Settling
 Surfacelayer transport
 Industry Sectors
 Authors

 Ronald B. Smith ^{(1)}
 Author Affiliations

 1. Yale University, New Haven, CT, 065208109, USA