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29421

Calculation of Iodine-131 Concentration inNeutral and Stable ConditionsUsing Three - Dimensions Advection-DiffusionEquation

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Last updated: 22 Jan 2023

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Abstract

ABSTRACT
A new model was proposedby using separation of variables to solve the diffusion equation in three dimensions, considering that the eddy diffusivity depends on the vertical height z. Comparisons between calculated, observed and previous data in neutral and stable conditions were carried out. Model performances were evaluated using observed data and another model. Results show that both models performance well in calculating activity concentrations with different degree of accuracy. From the statistical evaluations in neutral and stable conditions, one finds that the two models are inside a factor of two with observed data. Regarding NMSE and FB, the correlation for the present model is well with observed data than the previous work. We can conclude that our model shows more accuracy in neutral and stable cases than the previous work.

DOI

10.21608/icmep.2018.29421

Keywords

Advection-Diffusion Equation, separation of variables, Eddy Diffusivity, dispersion models

Authors

First Name

Khaled

Last Name

Essa

MiddleName

S.M.

Affiliation

Department of Mathematics and theoretical physics, NRC, EAEA, Cairo, Egypt.

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First Name

Aziz

Last Name

Mina

MiddleName

N.

Affiliation

Faculty of science, Beni –suef University, Egypt.

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First Name

Hany

Last Name

Hamdy

MiddleName

S.

Affiliation

Faculty of science, Beni –suef University, Egypt.

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Orcid

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First Name

Fawzia

Last Name

Mubarak

MiddleName

-

Affiliation

Rad. Protection Dept., NRC, EAEA, Cairo, Egypt.

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Orcid

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First Name

Ayman

Last Name

Khalifa

MiddleName

A.

Affiliation

Faculty of science, Beni –suef University, Egypt.

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Volume

9

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-9)

Related Issue

5169

Issue Date

2018-04-01

Receive Date

2019-04-01

Publish Date

2018-04-01

Page Start

1

Page End

17

Print ISSN

2636-431X

Online ISSN

2636-4328

Link

https://icmep.journals.ekb.eg/article_29421.html

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https://icmep.journals.ekb.eg/service?article_code=29421

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3

Type

Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

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Article

Created At

22 Jan 2023