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The Influence of Eddy Diffusivity Variation on the Atmospheric Diffusion Equation

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DOI: 10.4236/ojap.2015.43011    3,041 Downloads   3,495 Views   Citations

ABSTRACT

The advection diffusion equation was solved analytically using separation of variables technique, considering first the wind speed and eddy diffusivity as constants; second as variables dependent on vertical height z. Comparison between predicted two models and observed concentration on Inshas, Cairo (Egypt) is done.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Marrouf, A. , Essa, K. , El-Otaify, M. , Mohamed, A. and Ismail, G. (2015) The Influence of Eddy Diffusivity Variation on the Atmospheric Diffusion Equation. Open Journal of Air Pollution, 4, 109-118. doi: 10.4236/ojap.2015.43011.

References

[1] Wark, K. and Waner, C.F. (1981) Air Pollution. Its Origin and Control. Harper and Row, New York.
[2] Wilson, D.J. (1981) Along-Wind Diffusion of Source Transients. Atmospheric Environment, 15, 489-495.
http://dx.doi.org/10.1016/0004-6981(81)90179-7
[3] Van Ulden, A.P. and Hotslag, A.A.M. (1985) Estimation of Atmospheric Boundary Layer Parameters for Diffusion Applications. Journal of Climate and Applied Meterology, 24, 1196-1207.
http://dx.doi.org/10.1175/1520-0450(1985)024<1196:EOABLP>2.0.CO;2
[4] Pasquill, F. and Smith, F.B. (1983) Atmospheric Diffusion. 3rd Edition, Wiley, New York.
[5] Seinfeld, J.H. (1986) Atmospheric Chemistry and Physics of Air Pollution. Wiley, New York.
[6] Sharan, M., Singh, M.P. and Yadav, A.K. (1996) Mathematical Model for Atmospheric Dispersion in Low Winds with Eddy Diffusivities as Linear Functions of Downwind Distance. Atmospheric Environment, 30, 1137-1145.
http://dx.doi.org/10.1016/1352-2310(95)00368-1
[7] Moreira, D.M., Tirabassi, T. and Carvalho, J.C. (2005) Plume Dispersion Simulation in Low Wind Conditions in the Stable and Convective Boundary Layers. Atmospheric Environment, 30, 3646-3650.
http://dx.doi.org/10.1016/j.atmosenv.2005.03.004
[8] Cosemans, G., Kretzchmar, J. and Maes, G. (1992) The Belgian Emission Frequency Distribution Model IFDM. Proceedings of the DCAR Workshop on Objectives for Next Generation of Practical Short-Range Atmospheric Dispersion models, Riso, 149-150.
[9] Olesen, H.R., Lofstorm, P., Berkowicz, R. and Jensen, A.B. (1992) An Improved Dispersion Model for Regulatory Use: The OML Model. In: van Dop, H. and Kallos, G., Eds., Air Pollution Modeling and Its Application IX, Plenum Press, New York.
http://dx.doi.org/10.1007/978-1-4615-3052-7_3
[10] Hanna, S.R. and Chang, J.C. (1993) Hybrid Plume Dispersion Model (HPDM) Improvements and Testing at Three Field Sites. Atmospheric Environment, 27A, 1491-1508.
http://dx.doi.org/10.1016/0960-1686(93)90135-L
[11] Carruthers, D.J., Edmunds, H.A., Ellis, K.L., McHugh, C.A., Davies, B.M. and Thomson, D.J. (1995) The Atmospheric Dispersion Modeling System (ADMS): Comparisons with Data from the Kincaid Experiment. International Journal of Environment and Pollution, 5, 213-228.
[12] Gryning, S.E., Holtslag, A.A.M., Irwin, J.S. and Sivertsen, B. (1987) Applied Dispersion Modeling Based on Meteorological Scaling Parameters. Atmospheric Environment, 21, 79-89.
http://dx.doi.org/10.1016/0004-6981(87)90273-3
[13] Holtslag, A.A.M. and Nieuwstadt, F.T.M. (1986) Scaling the Atmospheric Boundary Layer. Meterology, 36, 201-209.
http://dx.doi.org/10.1007/bf00117468
[14] Palazzi, E., De Faveri, M., Fumarola, G. and Ferraiolla, G. (1982) Diffusion from a Steady Source of Short Duration. Atmospheric Environment, 16, 2785-2790.
http://dx.doi.org/10.1016/0004-6981(82)90029-4
[15] Essa, K.S.M., Mina, A.N. and Higazy, M. (2011) Analytical Solution of Diffusion Equation in Two Dimensions Using Two Forms of Eddy Diffusivities. Romanian Journal of Physics, 56, 1228-1240.
[16] Essa, K.S.M. and El-Otaify, M.S. (2007) Mathematical Model for Hermitized Atmospheric Dispersion in Low Winds with Eddy Diffusivities Linear Functions Downwind Distance. Meteorology and Atmospheric Physics, 96, 265-275.
http://dx.doi.org/10.1007/s00703-006-0208-5
[17] Irving, J. and Mullineux, N. (1959) Mathematics in Physics and Engineering. Academic Press, New York.
[18] Gradshteyn, I.S. and Ryzhik, I.M. (1965) Table of Integrals, Series and Products. 7th Edition, Academic Press, New York, 1160.
[19] Golder, D. (1972) Relation among Stability Parameters in the Surface Layer. Boundary Layer Meteorology, 3, 47-58.
http://dx.doi.org/10.1007/BF00769106
[20] Essa, K.S.M., Mubarak, F. and Khadra, S.A. (2005) Comparison of Some Sigma Schemes for Estimation of Air Pollutant Dispersion in Moderate and Low Winds. Atmospheric Science Letters, 6, 90-96.
http://dx.doi.org/10.1002/asl.94

  
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