Mathematical and Numerical Modeling of the Suspension of Particles Due to the Air Flow Between Two Rigid Walls

H. Benbih; Kamal Gueraoui; H. Bensalah; A. Rtibi; Y. Belkasmi; G. Zeggwagh

doi:10.15866/irece.v9i1.14286

Mathematical and Numerical Modeling of the Suspension of Particles Due to the Air Flow Between Two Rigid Walls

H. Benbih⁽¹⁾, Kamal Gueraoui⁽²⁾, H. Bensalah^(3*), A. Rtibi⁽⁴⁾, Y. Belkasmi⁽⁵⁾, G. Zeggwagh⁽⁶⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/irece.v9i1.14286

Abstract

The main objective of this research was to study the suspension of particles in a turbulent flow (k-ε model) of a Newtonian fluid between two rigid walls. The mathematical study is presented by Navier-Stokes equations and equation of transport of the particles. In order to study the effect of the fluctuations, the decomposition of Reynolds was applied to all the equations previously established. The approach of the phenomenon is made using mathematical and numerical way by using the finite volume method as a method of discretization, and the Gauss-Seidel method as a method of solution. This is to establish a numerical code, using the FORTRAN language, which makes it possible to solve the equations and to determine the particle’s concentration profile c, and the fluid velocities u, w respectively in Cartesian coordinate. The work carried out concerns the understanding and the modeling of the mechanisms of suspension of solid particles in a fluid flow.
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Keywords

Turbulent Flow; Finite Volume Method; Newtonian Fluid; Particles Suspension; Gauss-Seidel

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References

M. Jaquelin. Study of the suspension of particles by falling of powder. PhD University Paris XII –VAL DE MARIE 2007.
http://dx.doi.org/10.17578/11-3/4-3

Ziskind, G., Fichman, M., & Gutfinger, C. (1995). Resuspension of particulates from surfaces to turbulent flows—review and analysis. Journal of Aerosol Science, 26(4), 613–644.
http://dx.doi.org/10.1016/0021-8502(94)00139-p

Cleaver, J., & Yates, B (1973). Mechanism of detachment of colloidal particles from a flat substrate in a turbulent flow. Journal of Colloidand Interface Science, 44(3), 464–474.
http://dx.doi.org/10.1016/0021-9797(73)90323-8

H. K. Versteeg et W. Malalasekera, An introduction to computational fluid dynamics. The finite volume method, (1st edition, Longman Group Ltd, England, 1995).
http://dx.doi.org/10.1007/978-3-540-85056-4_11

H. A. Panofsky & J. A. Dutton, Atmospheric turbulence, (Wiley, New York, 1984).

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

Launder B. E. et Splanding D. B., The numerical computation of turbulent flows, Computer Methods in Applied Mechanics and Engineering, Vol. 3, pp. 269-289, 1974.
http://dx.doi.org/10.1016/0045-7825(74)90029-2

Viollet P. L., on the numerical modeling of stratified flows, Physical Processes in Esturies (eds. Dronkers and van Leussen) Springer verlay, pp. 257-277, 1988.
http://dx.doi.org/10.1007/978-3-642-73691-9_14

J. P. Nougier, Méthodes de calcul numérique, Masson, 3ème édition, Paris, 1989.
http://dx.doi.org/10.1016/0041-5553(69)90182-7

K. Gueraoui, M. Taibi, M. Tricha, Y. Belkassmi, A. Elbouzidi, B. Bahrar, A. Mzerd, G. Zeggwagh. Analytical and numerical modeling of the dispersion of particles in blood flow through elastic pipe. J. Mater. Environ. Sci. 7 (9) (2016) 3437-3446
http://dx.doi.org/10.12988/ams.2015.411986

Belcadi, M., Gueraoui, K., El Rhaleb, H., Driouich, M., Dhiri, A., Numerical Simulation of Microwave Assisted Laser Melting Alumina, (2015) International Review of Mechanical Engineering (IREME), 9 (5), pp. 429-437.
http://dx.doi.org/10.15866/ireme.v9i5.2042

EL-Tourroug, H., Gueraoui, K., Hassanain, N., Driouich, M., Men-La-Yakhaf, S., Numerical Modeling of the Phenomenon of Crystallization of Incompressible Fluid Flows into Rigid Pipes. Application to Polymer Melts, (2015) International Review on Modelling and Simulations (IREMOS), 8 (1), pp. 99-103.
http://dx.doi.org/10.15866/iremos.v8i1.5141

Bendada, A., El Hammoumi, A., Gueraoui, K., Sammouda, M., IbenBrahim, A., El Mouraouah, A., On the vulnerability of costal buildings in the Gulf of Cadiz under the tsunami forces. Contemporary Engineering Sciences, Vol. 9, 2016, no. 11, 497 – 511.
http://dx.doi.org/10.12988/ces.2016.59275

Salim, W., Ahmed, S., Prediction of Turbulent Swirling Flow in a Combustor Model, (2016) International Review of Aerospace Engineering (IREASE), 9 (2), pp. 43-50.
http://dx.doi.org/10.15866/irease.v9i2.9562

Bekka, N., Bessaïh, R., Sellam, M., Numerical Study of Transonic Flows Using Various Turbulence Models, (2015) International Review of Aerospace Engineering (IREASE), 8 (6), pp. 216-224.
http://dx.doi.org/10.15866/irease.v8i6.8824

Aziz, M., Elsayed, A., CFD Investigations for UAV and MAV Low Speed Airfoils Characteristics, (2015) International Review of Aerospace Engineering (IREASE), 8 (3), pp. 95-100.
http://dx.doi.org/10.15866/irease.v8i3.6212

Ahmed, S., Nazari, A., Numerical Study of Rotating Cylinder Effects on the Performance of a Symmetrical Airfoil Section, (2015) International Review on Modelling and Simulations (IREMOS), 8 (2), pp. 239-244.
http://dx.doi.org/10.15866/iremos.v8i2.5466

Frosina, E., Buono, D., Senatore, A., Costin, I., A Simulation Methodology Applied on Hydraulic Valves for High Fluxes, (2016) International Review on Modelling and Simulations (IREMOS), 9 (3), pp. 217-226.
http://dx.doi.org/10.15866/iremos.v9i3.9612

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