Journal of Ecology of Health & Environment
Journal license

Journal

Journal of Ecology of Health & Environment


Volume
& Issue

Volume 14, Issue 1


Published
on

January 1, 2026


Pages

1-15


DOI

Article

An Investigation of the Langevin Equation for Predicting Dispersion from Elevated Point Source in the Convective Boundary Layer

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Authors

Khaled S.m. Essa* Affiliation:
Mathematics and Theoretical Physics Department, Nuclear Research Center (NRC), Egyptian Atomic Energy Authority (EAEA), Cairo, Egypt
, Ahmed M. Mosallem Affiliation:
Mathematics and Theoretical Physics Department, Nuclear Research Center (NRC), Egyptian Atomic Energy Authority (EAEA), Cairo, Egypt
and Fawzia Mubarak Affiliation:
Egyptian Atomic Energy Authority (EAEA), Nuclear and Radiological Safety Research Center (NRSRC), Nuclear Fuel Cycle Safety Department, Cairo, Egypt


Abstract

The following are explained: E-ε Model, E-l Model, Parameterized Length Scale Model, Parameterization of Turbulent Transport, Parameterization of Dissipation, Parameterization of Return-to-Isotropy Terms, Subgrid-scale models, Lagrangian Stochastic Models, Random-walk Model for Homogeneous Turbulence, Random-walk Model for Inhomogeneous Turbulence, and Short-Range Gradient Transport Models. In this research, the sequential approximation method was used as an alternative numerical method to solve the three-dimensional stochastic Langevin equation. After obtaining Langevin models for Gaussian, a comparison was made between the Copenhagen experimental data of Sulfur Hexafluoride (SF6). The two models are within a factor of two of the observed data, according to statistical assessments and stochastic analysis between the observed and predicted data. Additionally, the Correlation coefficient, Normalized Mean Square Error, and Fraction Bias are all in good agreement with the observed data.


Keywords

Langevin equation, vertical turbulence velocity, probability density function, and numerical simulations


Citation

Essa, K. S., Mosallem, A. M., & Mubarak, F. (2026). An investigation of the langevin equation for predicting dispersion from elevated point source in the convective boundary layer. Journal of Ecology of Health & Environment, 14(1), 1–15. https://doi.org/10.18576/jehe/140101

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