Article Sidebar

Submitted
December 7, 2023
Published
November 30, 2023
Download
PDF
Statistic
Read Counter : 109 Download : 198

Downloads

Download data is not yet available.

Main Article Content

Abstract

An inversion layer is a layer in the lower atmosphere at a certain height through which there is no transport of pollutants. It plays as a significant factor in the formation of air pollutants where they are trapped. In this paper, a mathematical model describing an atmospheric pollutant dispersion from a high chimney in the presence of an inversion layer is constructed. The aim of the model is to predict the concentration of pollutants at ground level. The advection-diffusion equation governs the concentration of a pollutant released into the air. An analytical solution procedure via the integral transforms is presented for the steady-state case. Solutions are entirely determined by two parameters, i.e., the source strength emanating from the chimney and the height of the inversion layer. The pollutant concentration on the ground level with some multiple source formations will be explored, and also for various values of inversion layer height. Results show that the lower the inversion layer, the higher the pollutant concentration on the ground level is.

Keywords

inversion layer dispersion advection-diffusion equation integral transforms

Article Details

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite
Zai, F. N. ., & Gunawan, A. Y. . (2023). Effects of Inversion Layer on The Atmospheric Pollutant Dispersion from A High Chimney. Journal of the Indonesian Mathematical Society, 29(3), 299–310. https://doi.org/10.22342/jims.29.3.1597.299-310
Download Citation
Endnote/Zotero/Mendeley (RIS)
BibTeX
Crossref
Scopus
Google Scholar
Europe PMC

References

  1. Crank, J., The Mathematics of Diffusion, Oxford University Press, Oxford, 1975.
  2. Dodla, V.B.R., Gubbala, C.S., and Desamsetti, S., ”Atmospheric Dispersion of PM2.5 Precursor Gases from Two Major Thermal Power Plants in Andhra Pradesh, India”, Aerosol and Air Quality Research, 17 (2017), 381-393.
  3. Ermak, D.L., ”An Analytical Model for Air Pollutant Transport and Deposition From A Point Source”, Atmospheric Environment, 11 (1977), 231-237.
  4. Itahashi, S., ”Air Pollution Modeling: Local, Regional, and Global-Scale Applications”, Atmosphere, 12 (2021), 1-3.
  5. Mackay, C., McKee S., and Mulholland, J., ”Diffusion and Convection of Gaseous and Fine Particulate From A Chimney”, IMA Journal of Applied Mathematics, 71 (2006), 670-691.
  6. Seinfeld, J.H., and Pandis, S.N., Atmospheric Chemistry and Physics: From Air Pollution to Climate Change, John Willey and Sons, New York, 1998.
  7. Sharan, M., Yadav A.K., Singh, M.P., Agarwal, P., and Nigam, S., ”A Mathematical Model for the Dispersion of Air Pollutants in Low Wind Conditions”, Atmospheric Environment, 30 (1996), 1209-1220.
  8. Smith, R.J., ”Dispersion of Odours from Ground Level Agricultural Sources”, Journal Agricultural Engineering Research, 54 (1993), 187-200.
  9. Stackgold, I., Boundary Value Problems of Mathematical Physics, Vol II, Macmillan, New York, 1968.
  10. Stockie, J.M., ”The Mathematics of Atmospheric Dispersion Modeling”, SIAM Review, 53 (2011), 349-372.
  11. Strauss, W.A., Partial Differential Equations An Introduction, John Wiley and Sons, Inc, 2008.
  12. Tawinan, E., and Wongkaew, S., ”Modeling and Numerical Experiments of Air Pollution on A Complex Terrain”, Journal of Physics: Conference Series, 1850(2021), 1-11.
  13. Tayler, A.B., Mathematical Models in Applied Mechanics, Clarendon Press, Oxford, 1986.
  14. Turner, R., and Hurst, T., ”Factors Influencing Volcanic ash Dispersal from the 1995 and 1996 Eruptions of Mount Ruapehu, New Zeeland”, Journal of Applied Meteorology, 40 (2001), 56-69.
  15. Zair, F., Mouqallid, M., and Chatri, E., ”The Effect of Straight Chimney Temperature on Pollutant Dispersion”, E3S Web of Conferences, 234 (2021), 1-6