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Arab Journal of Nuclear Sciences and Applications
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Volume Volume 55 (2022)
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Essa, K., Taha, H., Mosallem, A. (2022). The effect of power law and logarithmic of wind speed in calculation Diffusion from a Point Source. Arab Journal of Nuclear Sciences and Applications, 55(2), 146-153. doi: 10.21608/ajnsa.2021.98037.1515
khaled Sadek Essa; Hanaa Mohammed Ahmed Taha; Ahmed Metwelly Mosallem. "The effect of power law and logarithmic of wind speed in calculation Diffusion from a Point Source". Arab Journal of Nuclear Sciences and Applications, 55, 2, 2022, 146-153. doi: 10.21608/ajnsa.2021.98037.1515
Essa, K., Taha, H., Mosallem, A. (2022). 'The effect of power law and logarithmic of wind speed in calculation Diffusion from a Point Source', Arab Journal of Nuclear Sciences and Applications, 55(2), pp. 146-153. doi: 10.21608/ajnsa.2021.98037.1515
Essa, K., Taha, H., Mosallem, A. The effect of power law and logarithmic of wind speed in calculation Diffusion from a Point Source. Arab Journal of Nuclear Sciences and Applications, 2022; 55(2): 146-153. doi: 10.21608/ajnsa.2021.98037.1515

The effect of power law and logarithmic of wind speed in calculation Diffusion from a Point Source

Article 15, Volume 55, Issue 2, April 2022, Page 146-153  XML PDF (606.71 K)
Document Type: Original Article
DOI: 10.21608/ajnsa.2021.98037.1515
Authors
khaled Sadek Essaorcid 1; Hanaa Mohammed Ahmed Taha email orcid 2; Ahmed Metwelly Mosallemorcid 3
1Egyptian Atomic Energy Authority, NRC
2Mathematical and Theoretical Physics Department, Nuclear Research Centre, Egyptian Atomic Energy Authority
3Mathematics and Theoretical Physics, NRC, AEA, Cairo, Egypt
Abstract
In this work, we investigate a diffusion model of substance from a point source in an urban area. One can define the plume at edge where the concentration falls to zero. The new in this work, taking the vertical wind speed consists of sum of power and logarithmic law, in neutral, stable and unstable conditions. The proposed concentrations model is compared with the observation’s concentration data. Also, one gets the concentration at the ground of the Iodine-138 (I138) which is the same as the observed concentration value and adjusted its source strength when the wind speed is the sum of logarithmic and power law than previous models. The proposed model is a well perfect model because the ground corrected concentration (0.16Bq/m3) is the same as the observed concentration (0.16Bq/m3) than the previous ground concentrations in ref. (1) (0.18Bq/m3) and in ref. (2) (0.155Bq/m3). We conclude that the proposed model is well agreement than the two previous models.
Keywords
Urban Atmosphere; Vertical Wind Shear; Power Law; Logarithmic law; Stability Categories
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