Article
Analytical Solution of One Dimension Time Dependent Advection- Diffusion Equation
Authors
, , , and
Abstract
An analytical model for the crosswind integrated concentrations released from a source in an inversion layer is formulated by considering the wind speed as a linear profile of vertical height and eddy diffusivity as a power law profile of vertical height, the separation of variables technique is used to solve the advection –diffusion equation. The analytical model is compared with data collected from nine experiments conducted at Inshas, Cairo (Egypt). The model shows a good agreement between observed and calculated concentration.
Keywords
Advection–Diffusion Equation, Bessel Function, Separation of Variables Technique, Eigen Value Problem
Citation
Marrouf, A. A., El-Otaify, M. S., Mohamed, A. S., Ismail, G., & Essa, K. S. M. (2016). Analytical solution of one dimension time dependent advection- diffusion equation. Journal of Ecology of Health & Environment, 4(2), 67–73. https://doi.org/10.18576/jehe/040203
A. A. Marrouf, M. S. El-Otaify, A. S. Mohamed, G. Ismail and K. S. M. Essa, “Analytical solution of one dimension time dependent advection- diffusion equation,” Journal of Ecology of Health & Environment, vol. 4, no. 2, pp. 67–73, 2016, doi: 10.18576/jehe/040203.
Marrouf AA, El-Otaify MS, Mohamed AS, Ismail G, Essa KSM. Analytical solution of one dimension time dependent advection- diffusion equation. Journal of Ecology of Health & Environment. 2016;4(2):67–73. doi:10.18576/jehe/040203.
Marrouf, A. A., El-Otaify, M. S., Mohamed, A. S., Ismail, G. and Essa, K. S. M. (2016), ‘Analytical solution of one dimension time dependent advection- diffusion equation’, Journal of Ecology of Health & Environment, 4(2), pp. 67–73. Available at: https://doi.org/10.18576/jehe/040203.
Marrouf, A. A., et al. “Analytical Solution of One Dimension Time Dependent Advection- Diffusion Equation.” Journal of Ecology of Health & Environment, vol. 4, no. 2, 2016, pp. 67–73. https://doi.org/10.18576/jehe/040203.
Marrouf, A. A., Maha S. El-Otaify, Adel S. Mohamed, Galal Ismail, and Khaled S. M. Essa. “Analytical Solution of One Dimension Time Dependent Advection- Diffusion Equation.” Journal of Ecology of Health & Environment 4, no. 2 (2016): 67–73. https://doi.org/10.18576/jehe/040203.
Export citation
Published by: Engineering Journals


