Volume 2, Issue 2, June 2018, Page: 32-36
Analytical Solution of Time Dependent Diffusion Equation in Stable Case
Khaled Sadek Mohamed Essa, Department of Mathematics and Theoretical Physics, NRC, Atomic Energy Authority, Cairo, Egypt
Sawsan Ibrahim Mohamed El Saied, Department of Mathematics and Theoretical Physics, NRC, Atomic Energy Authority, Cairo, Egypt
Ayman Marrouf, Department of Mathematics and Theoretical Physics, NRC, Atomic Energy Authority, Cairo, Egypt
Received: May 27, 2018;       Accepted: Jun. 8, 2018;       Published: Aug. 9, 2018
DOI: 10.11648/j.ajese.20180202.12      View  471      Downloads  62
Abstract
The normalized integrated concentration of pollutant has been obtained after solving temporaly diffusion equation using the method of separation variable considering the eddy diffusivities which measuring at night or at any time in high inversion layer in the stable condition. The dataset is observed from the “Project prairie Grass” (Barad 1958) which is measured using wind speed at 1.5m and downwind distance during the experiment at 50, 200 and 800 m in stable case for runs from 1 to 10. Comparison between the estimated and observed normalized integrated concentration at a different downwind distance for all runs at t = 30 minutes is calculated.
Keywords
Project Prairie Grass, Laplace Transform, Normalized Concentration, Diffusion Equation, Stable Condition
To cite this article
Khaled Sadek Mohamed Essa, Sawsan Ibrahim Mohamed El Saied, Ayman Marrouf, Analytical Solution of Time Dependent Diffusion Equation in Stable Case, American Journal of Environmental Science and Engineering. Vol. 2, No. 2, 2018, pp. 32-36. doi: 10.11648/j.ajese.20180202.12
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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