The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition
Essa, K., Shalaby, A., Mosallem, A., Khalifa, A. (2020). The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition. EKB Journal Management System, 53(2), 87-97. doi: 10.21608/ajnsa.2020.15115.1241
khaled Essa; Ahmed Sayed Shalaby; Ahmed Metwelly Mosallem; Ayman Ali Khalifa. "The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition". EKB Journal Management System, 53, 2, 2020, 87-97. doi: 10.21608/ajnsa.2020.15115.1241
Essa, K., Shalaby, A., Mosallem, A., Khalifa, A. (2020). 'The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition', EKB Journal Management System, 53(2), pp. 87-97. doi: 10.21608/ajnsa.2020.15115.1241
Essa, K., Shalaby, A., Mosallem, A., Khalifa, A. The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition. EKB Journal Management System, 2020; 53(2): 87-97. doi: 10.21608/ajnsa.2020.15115.1241

The Effect of Simple Vertical Fraction on Diffusion Equation with Deposition

Arab Journal of Nuclear Sciences and Applications
Article 9, Volume 53, Issue 2, April 2020, Page 87-97  XML PDF (473.21 K)
Document Type: Original Article
DOI: 10.21608/ajnsa.2020.15115.1241
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Authors
khaled Essa email orcid 1; Ahmed Sayed Shalabyorcid 2; Ahmed Metwelly Mosallemorcid 3; Ayman Ali Khalifa4
1Mathematics and Theoretical Physics, NRC Egyptian Atomic Energy Authority, Cairo, Egypt
2Physics department - faculty of science- Beni-suef University.
3Mathematics and Theoretical Physics, NRC, AEA, Cairo, Egypt
4Physics Department, Faculty of Science, Beni- Suef University, Egypt
Abstract
The vertical fraction variation of eddy diffusivity was taking into consideration in the dispersion of pollutants from a point source. A power-law profile was used to describe the variation of wind speed and vertical eddy diffusivity with height z above ground surface. The dry deposition of the diffusing particles at the ground surface is taken into account through the boundary conditions. The concentration of pollutants was derived assuming that the vertical diffusion is limited by an elevated inversion layer located at the top of the boundary layer “h”. Also the decay distance of a pollutant along the wind direction was estimated. The resulting analytical solutions have been applied on the emission from the Research Reactor at Inshas in unstable condition and Hanford diffusion experiment in stable condition. Comparisons between proposed and observed concentrations show a good agreement between the proposed and observed concentrations when "α=0.81 " than others fractions and integer value. The results are discussed and presented in illustrative figures.
Keywords
Power law of wind speed and eddy diffusivity; vertical fraction; decay distance of a polutant; Inshas and Hanford experiment
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