A Mathematical Modeling Approach to Air Pollution Dispersion for Enhancing Community Health and Environmental Safety

  • Unique Paper ID: 178550
  • PageNo: 3929-3933
  • Abstract:
  • Air pollution continues to pose serious threats to public health and the environment, particularly in densely populated and industrial regions. Mathematical modeling provides a robust framework to analyze and predict the dispersion patterns of airborne pollutants. This study presents an analytical model for pollutant dispersion from a point source, incorporating both advection and diffusion phenomena within the atmospheric boundary layer. The model integrates the effects of wind velocity, eddy diffusion coefficients, and atmospheric stability to simulate pollutant concentration profiles. Numerical simulations demonstrate a Gaussian-like concentration distribution at a downwind distance of 1000 meters, with the peak concentration aligned along the plume centerline at an elevation of approximately 100 meters. The results highlight the symmetric lateral and vertical dispersion of pollutants under neutral atmospheric conditions and reveal that ground-level concentrations remain relatively low due to plume rise. These findings validate the model and offer insight into pollutant behavior under varying atmospheric dynamics. The outcomes of this study are valuable for environmental policy-making and urban planning, aiding in the formulation of emission control strategies, optimization of stack heights, and protection of public health in at-risk areas.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{178550,
        author = {Sapna Ratan Shah and Amanpreet Kaur},
        title = {A Mathematical Modeling Approach to Air Pollution Dispersion for Enhancing Community Health and Environmental Safety},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {11},
        number = {12},
        pages = {3929-3933},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=178550},
        abstract = {Air pollution continues to pose serious threats to public health and the environment, particularly in densely populated and industrial regions. Mathematical modeling provides a robust framework to analyze and predict the dispersion patterns of airborne pollutants. This study presents an analytical model for pollutant dispersion from a point source, incorporating both advection and diffusion phenomena within the atmospheric boundary layer. The model integrates the effects of wind velocity, eddy diffusion coefficients, and atmospheric stability to simulate pollutant concentration profiles. Numerical simulations demonstrate a Gaussian-like concentration distribution at a downwind distance of 1000 meters, with the peak concentration aligned along the plume centerline at an elevation of approximately 100 meters. The results highlight the symmetric lateral and vertical dispersion of pollutants under neutral atmospheric conditions and reveal that ground-level concentrations remain relatively low due to plume rise. These findings validate the model and offer insight into pollutant behavior under varying atmospheric dynamics. The outcomes of this study are valuable for environmental policy-making and urban planning, aiding in the formulation of emission control strategies, optimization of stack heights, and protection of public health in at-risk areas.},
        keywords = {Air pollution, atmospheric dispersion, mathematical modeling, point source emissions, advection-diffusion, boundary layer, wind velocity, diffusion coefficient, pollutant concentration, numerical simulation, public health, urban planning, environmental policy, atmospheric stability.},
        month = {May},
        }

Cite This Article

Shah, S. R., & Kaur, A. (2025). A Mathematical Modeling Approach to Air Pollution Dispersion for Enhancing Community Health and Environmental Safety. International Journal of Innovative Research in Technology (IJIRT), 11(12), 3929–3933.

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