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Analytical Solutions of the Advection–Diffusion Equation with Variable Vertical Eddy Diffusivity and Wind Speed Using Hankel Transform

Research Authors
Khaled S. M. Essa, Ahmed S. Shalaby, Mahmoud A. E. Ibrahim & Ahmed M. Mosallem
Research Abstract

Abstract—Hankel transform was employed to solve the twodimensional steady state advection–diffusion equation considering
a continuous point source with vertical eddy diffusivity as a power
law of vertical height and downwind distance, also, taking wind
speed as power law. The analytical model was evaluated and
compared with Hanford diffusion experiment in stable conditions
and Copenhagen diffusion experiment in unstable and neutral
conditions which was done by reducing the general analytical
model to a one with linear vertical eddy diffusivity and constant
downwind speed profile. Comparison with other analytical models
was held. The presented model predictions show a good agreement
with observations and lay inside a factor of two with observed data
of both Hanford and Copenhagen diffusion experiments.

Research Department
Research Journal
Pure and Applied Geophysics
Research Publisher
2020 Springer Nature Switzerland AG
Research Rank
1
Research Vol
177
Research Website
https://link.springer.com/article/10.1007/s00024-020-02496-y
Research Year
2020
Research Pages
NULL