An approximate analytical solution for the deposition of heavy particles released from an elevated line source |
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| Authors: | T Bouvet J D Wilson |
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| Institution: | (1) Department of Earth & Atmospheric Sciences, University of Alberta, Edmonton, Alberta, Canada, T6G 2E3 |
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| Abstract: | This work re-examines and further develops an analytical solution for the deposition swath of heavy particles released in
the atmosphere from an elevated source over uniform terrain, correcting the particle diffusivity for the crossing trajectory
effect. The revised (approximate) analytical solution proves to be accurate within 20% over a wide range of micrometeorological
conditions and particle size, despite its neglect of the turbulence component of the deposition flux. It compares very satisfactorily
with experimental data and with the simulations of a Lagrangian stochastic model, provided the variable U(H)/w
g
≤7 (ratio of the mean horizontal wind speed at source height to the particle settling velocity). In this domain of validity,
simple formulae relating the statistics of the deposition swath to U(H)/w
g
are derived. |
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| Keywords: | Analytical solution Crossing trajectory effect Diffusion Heavy particle deposition Lagrangian stochastic simulations Turbulent deposition |
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