International Journal of Environmental Monitoring and Analysis

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The Mathematical Modeling of the Atmospheric Diffusion Equation

Received: 12 February 2014    Accepted: 29 April 2014    Published: 30 April 2014
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Abstract

The advection diffusion equation (ADE) is solved in two directions to obtain the crosswind integrated concentration. The solution is solved using separation variables technique and considering the wind speed depends on the vertical height and eddy diffusivity depends on downwind and vertical distances. Comparing between the two predicted concentrations and observed concentration data are taken on the Copenhagen in Denmark.

DOI 10.11648/j.ijema.20140202.18
Published in International Journal of Environmental Monitoring and Analysis (Volume 2, Issue 2, April 2014)
Page(s) 112-116
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Advection Diffusion Equation, Predicted Normalized Crosswind Integrated Concentrations, Separation Variables

References
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[4] John M. Stockie, The Mathematics of atmospheric dispersion molding. Society for Industrial and Applied Mathematics. Vol. 53.No.2 pp. 349-372, (2011).
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[6] Pasquill, F., Smith, F.B., "Atmospheric Diffusion 3rd edition". Wiley, New York, USA,(1983).
[7] Seinfeld, J.H” Atmospheric Chemistry and physics of Air Pollution”. Wiley, New York, (1986).
[8] Sharan, M., Singh, M.P., Yadav, A.K," Mathematical model for atmospheric dispersion in low winds with eddy diffusivities as linear functions of downwind distance". Atmospheric Environment 30, 1137-1145, (1996).
[9] Essa K.S.M., and E,A.Found ,"Estimated of crosswind integrated Gaussian and Non-Gaussian concentration by using different dispersion schemes". Australian Journal of Basic and Applied Sciences, 5(11): 1580-1587, (2011).
[10] Arya, S. P "Modeling and parameterization of near –source diffusion in weak wind" J. Appl .Met. 34, 1112-1122. (1995).
[11] Essa K. S. M., Maha S. EL-Qtaify" Diffusion from a point source in an urban Atmosphere" Meteol. Atmo, Phys., 92, 95-101, (2006).
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[14] Hanna S. R., 1989, "confidence limit for air quality models as estimated by bootstrap and Jackknife resembling methods", Atom. Environ. 23, 1385-139
Author Information
  • Department of Mathematics and Theoretical Physics, Nuclear Research Centre, Cairo, Egypt

  • Astronomy Department, Faculty of Science, Cairo University, Cairo, Egypt

  • Physics Department, Faculty of science, Monofia University, Monofia, Egypt

  • Theoretical Physics Department, National Research Centre, Cairo, Egypt

  • Physics Department, Faculty of science, Monofia University, Monofia, Egypt

  • Theoretical Physics Department, National Research Centre, Cairo, Egypt

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    Khaled Sadek Mohamed Essa, Mohamed Magdy Abd El-Wahab, Hussein Mahmoud ELsman, Adel Shahta Soliman, Samy Mahmoud ELGmmal, et al. (2014). The Mathematical Modeling of the Atmospheric Diffusion Equation. International Journal of Environmental Monitoring and Analysis, 2(2), 112-116. https://doi.org/10.11648/j.ijema.20140202.18

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    ACS Style

    Khaled Sadek Mohamed Essa; Mohamed Magdy Abd El-Wahab; Hussein Mahmoud ELsman; Adel Shahta Soliman; Samy Mahmoud ELGmmal, et al. The Mathematical Modeling of the Atmospheric Diffusion Equation. Int. J. Environ. Monit. Anal. 2014, 2(2), 112-116. doi: 10.11648/j.ijema.20140202.18

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    AMA Style

    Khaled Sadek Mohamed Essa, Mohamed Magdy Abd El-Wahab, Hussein Mahmoud ELsman, Adel Shahta Soliman, Samy Mahmoud ELGmmal, et al. The Mathematical Modeling of the Atmospheric Diffusion Equation. Int J Environ Monit Anal. 2014;2(2):112-116. doi: 10.11648/j.ijema.20140202.18

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  • @article{10.11648/j.ijema.20140202.18,
      author = {Khaled Sadek Mohamed Essa and Mohamed Magdy Abd El-Wahab and Hussein Mahmoud ELsman and Adel Shahta Soliman and Samy Mahmoud ELGmmal and Aly Ahamed Wheida},
      title = {The Mathematical Modeling of the Atmospheric Diffusion Equation},
      journal = {International Journal of Environmental Monitoring and Analysis},
      volume = {2},
      number = {2},
      pages = {112-116},
      doi = {10.11648/j.ijema.20140202.18},
      url = {https://doi.org/10.11648/j.ijema.20140202.18},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijema.20140202.18},
      abstract = {The advection diffusion equation (ADE) is solved in two directions to obtain the crosswind integrated concentration. The solution is solved using separation variables technique and considering the wind speed depends on the vertical height and eddy diffusivity depends on downwind and vertical distances. Comparing between the two predicted concentrations and observed concentration data are taken on the Copenhagen in Denmark.},
     year = {2014}
    }
    

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    AU  - Mohamed Magdy Abd El-Wahab
    AU  - Hussein Mahmoud ELsman
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    JO  - International Journal of Environmental Monitoring and Analysis
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    AB  - The advection diffusion equation (ADE) is solved in two directions to obtain the crosswind integrated concentration. The solution is solved using separation variables technique and considering the wind speed depends on the vertical height and eddy diffusivity depends on downwind and vertical distances. Comparing between the two predicted concentrations and observed concentration data are taken on the Copenhagen in Denmark.
    VL  - 2
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