Two Dimensional Theoretical and Numerical Modeling of Atmospheric Pollution

I. Aberdane; Kamal Gueraoui; M. Driouich; A. Dhiri

doi:10.15866/ireme.v9i5.2463

Two Dimensional Theoretical and Numerical Modeling of Atmospheric Pollution

I. Aberdane⁽¹⁾, Kamal Gueraoui^(2*), M. Driouich⁽³⁾, A. Dhiri⁽⁴⁾

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DOI: https://doi.org/10.15866/ireme.v9i5.2463

Abstract

The objective of the present work is a two dimensional numerical and theoretical modeling of the atmospheric pollution at the level of the lowest atmospheric layers, by studying processes of reaction - diffusion - advection in a non permanent turbulent flow of a Newtonian fluid, using the k ε model. This problem is governed by equations of Navier – Stokes, transfer of heat and the transport of pollutant. Generally, these equations do not admit analytical solutions, thus an appeal to the numerical methods turns out compulsory. In our study, the equations are solved using the numerical method of finished volumes, to determine the temperature, T, the pressure, P, the components of the speed, u, w and the concentrations of main pollutants which exist in the atmosphere.
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Keywords

Turbulent Flown; Finite Volume Method; Newtonian Fluid; Atmospheric Pollution; Advection- Diffusion-Reaction Process

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References

J.M.Seinfed&S.N.Pandis, "Atmospheric chemistry and physicis from air pollution to climate charge", Wiley, New-York, 1998.

H.K.Versteg& W. Malalasekera, "An introduction to computational fluid dynamics" . The finite volume methode, 1èreédition, Longman Group Ltd, England, 1995.

Panofsky H.A. &Dutton J. A," Atmospheric Turbulence", Wiley, New York, 1984.

E.J. Spee, de Zeeuw, J.G. Verwer, J.G. Blom, W.Hundsdorfer, “A numerrical study for global atmospheric transport-chemistry problem”, Mathematics and Computers in simulation 48, pp.177-204, 1998.
http://dx.doi.org/10.1016/s0378-4754(98)00155-4

D.Lanser et J.G.Verwer, “Analysis of opertor splitting for advection-diffusion-reaction problems from air pollution modelling,”CWI report Mas-R 9805, 1998.
http://dx.doi.org/10.1016/s0377-0427(99)00143-0

J.G.Verwer, W.H.Hundsdorfer et J.G.Blom, "numerical time integation for air pollution models", report MAS-R9825, invited paper for the international conference on air pollution modlling and simulation A DM5 98, oct.26-29;France, 1998.

J.G. Blom, W.M. Lioen et J.G. Verwer, “HPCN and air quality modeling”, In P. Sploot, M. Bubac et B. Hertzberger, Eds, Springer Springer Proceeding Series LNCS 1401, pp. 1414-150, 1998 Report MAS-R 9801, January, Amesterdam, 1998.

J.G. Verwer, J.G. Blom, W. Hundsdorrfer, "An implicit- explicit approach for atmospheric transport. Chemistry problems”, Applied NumericalMathematics 20, pp.191-209, 1996.
http://dx.doi.org/10.1016/0168-9274(95)00126-3

S.V. Patankar, “Numerical heat transfer and fluid flow”, Hemisphere Publishing corporation, Taylor and Francis group, New York, 1980.
http://dx.doi.org/10.1002/cite.330530323

S.V. patankar, D.B.Spalding “A calculation procedure for heat, mass and momentum trasfer in there dimensional parabolic flow”, Int., J. Heat mass Transfer, vol., 15, pp. 1787, 1972.
http://dx.doi.org/10.1016/0017-9310(72)90054-3

Driouich, M., Gueraoui, K., Haddad, Y.M., Sammouda, M., El Hammoumi, A., Kerroum, M., Taibi, M., Fassi Fehri, O., Numerical and theoretical modelling of unsteady flows for incompressible fluid in rigid conducts. Application to molten polymers flow, (2010) International Review on Modelling and Simulations (IREMOS), 3 (6), pp. 1317-1323.

Sammouda, M., Gueraoui, K., Driouich, M., El Hammoumi, A., Brahim, A.I., The variable porosity effect on the natural convection in a non-darcy porous media, (2011) International Review on Modelling and Simulations (IREMOS), 4 (5), pp. 2701-2707.

M. Driouich, K. Gueraoui, M. Sammouda, Y. M. Haddad, I. Aberdane, The Effect of Electric Field on the Flow of a Compressible Ionized Fluid in a Cylindrical Tube. Adv. Studies Theor. Phys., Vol. 6, 2012, no. 14, 687-696.

Gueraoui ,K., Hammoumi , A., Zeggwagh, G.(1996), Ecoulements pulsés de fluides inélastiques en conduites déformables poreuses et anisotropes, C.R. Acad. Sci., Paris, 323, série B, 825-832.
http://dx.doi.org/10.1051/lhb/1998075

Ghouli, A., Gueraoui, K., Walid, M., Aberdane, I., Hammoumi, A.E., Kerroum, M., Zeggwagh, G., Haddad, Y.M., Numerical study of pollutant propagation process in homogeneous porous unsaturated media, (2009) International Review of Mechanical Engineering (IREME), 3 (3), pp. 358-361.

M. Driouich, K. Gueraoui, M. Sammouda, Y. M. Haddad, The Effect of the Rheological Characteristics of the Molten Polymer on its Flow in Rigid Cylindrical Tubes. Adv. Studies Theor. Phys., Vol. 6, 2012, no. 12, 569-586.

Sammouda, M., Gueraoui, K., Driouich, M., El-Hammoumi, A., Iben Brahim, A., Non-Darcy natural convection heat transfer along a vertical cylinder filled by a porous media with variable porosity, (2012) International Review of Mechanical Engineering (IREME), 6 (4), pp. 698-704.

Sammouda, M., Gueraoui, K., Driouich, M., Ghouli, A., Dhiri, A., Double diffusive natural convection in non-darcy porous media with non-uniform porosity, (2013) International Review of Mechanical Engineering (IREME), 7 (6), pp. 1021-1030.

R. Chammami, M. Taibi, M. Hami,,(...),K. Gueraoui, G. Zeggwagh, Influence de la nature de la paroi sur un modè d'écoulements pulsés de fluides diphasiques. Application à la microcirculation | [Influence of the kind of duct on two-fluid pulsatile flows model. Application to the microcirculation], Houille Blanche, 2001.
http://dx.doi.org/10.1051/lhb/2001030

M. Taibi, R. Chammami, M. Kerroum, K. Gueraoui,A. El Hammoumi, G. Zeggwagh, Modélisations des écoulements pulsés à deux phases, en conduites déformables ou rigides | [Pulsating flow of two phases in deformable or rigide tubes], ITBM-RBM, 2002.
http://dx.doi.org/10.1016/s1297-9562(02)80012-2

El Khaoudi, F., Gueraoui, K., Driouich, M., Sammouda, M., Numerical and theoretical modeling of natural convection of nanofluids in a vertical rectangular cavity, (2014) International Review on Modelling and Simulations (IREMOS), 7 (2), pp. 350-355.
http://dx.doi.org/10.15866/iremos.v7i2.585

Men-la-yakhaf, S., Gueraoui, K., Maaouni, A., Driouich, M., Numerical and mathematical modeling of reactive mass transfer and heat storage installations of argan waste, (2014) International Review of Mechanical Engineering (IREME), 8 (1), pp. 236-240.
http://dx.doi.org/10.15866/ireme.v8i1.1265

K. Gueraoui, A.Hammoumi, G. Zcggvvagh, Resolution numerique d'ecoulements pulses de fluides inelastiques en conduites viscoelastiques poreuses et anisotropes | [A numerical solution of pulsatile flow of an inelastic fluid through anisotropic porous viscoelastic pipes]. Houille Blanche, 1998.
http://dx.doi.org/10.1051/lhb/1998075

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