Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32128
Two Dimensionnal Model for Extraction Packed Column Simulation using Finite Element Method

Authors: N. Outili, A-H. Meniai


Modeling transfer phenomena in several chemical engineering operations leads to the resolution of partial differential equations systems. According to the complexity of the operations mechanisms, the equations present a nonlinear form and analytical solution became difficult, we have then to use numerical methods which are based on approximations in order to transform a differential system to an algebraic one.Finite element method is one of numerical methods which can be used to obtain an accurate solution in many complex cases of chemical engineering.The packed columns find a large application like contactor for liquid-liquid systems such solvent extraction. In the literature, the modeling of this type of equipment received less attention in comparison with the plate columns.A mathematical bidimensionnal model with radial and axial dispersion, simulating packed tower extraction behavior was developed and a partial differential equation was solved using the finite element method by adopting the Galerkine model. We developed a Mathcad program, which can be used for a similar equations and concentration profiles are obtained along the column. The influence of radial dispersion was prooved and it can-t be neglected, the results were compared with experimental concentration at the top of the column in the extraction system: acetone/toluene/water.

Keywords: finite element method, Galerkine method, liquidliquid extraction modelling, packed column simulation, two dimensional model

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1571


[1] K.H.Huebner., E.A.Thornton. " The Finite Element Method For Engineers". Second Edition, A Wiley Interscience Publication, (1982).
[2] S.S.Rao. "The Finite Element Method in Engineering", First Edition, Pergamon Edition Press, (1982)
[3] Zai-Sha Mao, Tianwen Li et Jiayong Chen. « Numerical Simulation of Steady and Transient Mass Transfer to a Single Drop Dominated by Extrernal Resistance". International Journal of Heat and Mass Transfer. Vol.44. Issue 6. (2001)
[4] Qi. Mingzhai, L. Markus and A. Vogelpohl. "Mathematical Solution of The Two Dimensionnal Dispersion Model". Chem. Eng. Technol.25. (2002);
[5] K.H.Huebner., E.A.Thornton. " The Finite Element Method For Engineers". Second Edition, A Wiley Interscience Publication, (1982);
[6] Alaa Chateauneuf. « Comprendre les éléments finis, Principes, formulations et exercices corrigés »Edition Technosup . Paris (2005);
[7] A.F.Seibert, J.L.Humphrey et J.R.Fair. "Evaluation of Packings for Use in Liquid-Liquid Extraction Columns", Separation Science and Technology, (1987).
[8] K. Rajesh Srivastava et J. Babu."Simulation of Packed bed Separation Process Using Orthogonal Collocation". Computers and Chemical Engineering. Vol 8. N┬░ 1. (1984);
[9] S. Aly., L. Pibouleau et S. Domenech. « Traitement par une Méthode d-Eléments Finis de Modèles de Colonnes de Réctification discontinue ├á Garnissage », The Canadian Journal of Chemical Engineering, Vol 65, Decembre (1987).