Two Dimensionnal Model for Extraction Packed Column Simulation using Finite Element Method
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.
[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).
[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).
@article{"International Journal of Chemical, Materials and Biomolecular Sciences:54681", author = "N. Outili and A-H. Meniai", title = "Two Dimensionnal Model for Extraction Packed Column Simulation using Finite Element Method", abstract = "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", volume = "5", number = "5", pages = "413-5", }