Modeling fixed-bed adsorption columns through orthogonal collocations on moving finite elements

Kaczmarski, Krzysztof; Mazzotti, Marco; Storti, Giuseppe; Morbidelli, Massimo

doi:10.1016/s0098-1354(96)00300-6

Cited by 183 publications

(57 citation statements)

References 20 publications

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“…One of the program options allows the solution of electrochemical reaction models. The numerical base of the orthogonal collocation on finite elements used in ESTYM_PDE has been described in [39]. Described in [40], the detailed comparison of the ES-TYM_PDE program (by Kaczmarski) with other codes available, such as EASI-CVSIM, ELSIM and DIGSIM (BAS) [41 -43], on the base of the test described in [43] showed that all of them provide exactly the same results for selected model [40].…”

Section: The Classical Ee Modelmentioning

confidence: 99%

An Integrated Two Phases Approach to Zn2+ Ions Electroreduction on Hg

2006

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The following two numerical models have been applied to zinc cations electroreduction in 1 M NaClO 4 water solution: a classical EE model describing the concentration of involved species in solution (semi infinitive diffusion region), an extended EE model describing both: the concentration of involved species in solution and the concentration of metallic zinc inside mercury drop (in limited area of diffusion). In the latter model the inner part of mercury drop and surrounding solution were treated as dynamic interrelated system. Both models were applied to experimental cyclic voltammetric CV data in 1 M NaClO 4 , the results compared and discussed. The concentration profiles of all species including metallic zinc inside mercury drop were performed. The presented integrated model is essential for theoretical and analytical aspects of the electrochemistry of mercury soluble metal cations and amalgams.

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Section: The Classical Ee Modelmentioning

confidence: 99%

An Integrated Two Phases Approach to Zn2+ Ions Electroreduction on Hg

2006

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“…The method of orthogonal collocation on finite elements (OCFE), which was extensively described by Finlayson [18], has been applied to the fixed-bed adsorption processes in various instances [19][20][21]. In this work, the systems of PDEs (Eqs.…”

Section: Methods Of Numerical Solutionmentioning

confidence: 99%

Simulation of Levulinic Acid Adsorption in Packed Beds using Parallel Pore/Surface Diffusion Model

et al. 2010

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The adsorption of levulinic acid in fixed beds of basic polymeric adsorbents at 22°C was studied under various operating conditions. A general rate model which considers pore diffusion and parallel pore/surface diffusion was solved numerically by orthogonal collocation on finite elements to describe the experimental breakthrough data. The adsorption isotherms, and the pore and surface diffusion coefficients were determined independently in batch adsorption studies. The external film resistance and the axial dispersion coefficient were estimated by the Wilson-Geankoplis equation and the Chung-Wen equation, respectively. Simulation elucidated that the model which considers parallel diffusion successfully describes the breakthrough behavior and gave a much better prediction than the model which considers pore diffusion. The results obtained in this work are applicable to design and optimizes the separation process.

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“…One of the program options enables solution of electrochemical reaction models. The numerical algorithm is based on an implementation of the method of orthogonal collocation on finite elements (OCFE) (Berninger et al, 1991;Gardini et al, 1985;Kaczmarski, 1996;Kaczmarski et al, 1997;Ma & Guiochon, 1991;Villadsen & Michelsen, 1978;Yu & Wang, 1989). After discretization of the space derivatives due to the method of OCFE, the obtained set of ordinary differential equations is solved with the backward differentiation formulae, implemented in the VODE procedure (Brown et al, n.d.).…”

Section: The List Of Applied Kinetic Models and Description Of Numerimentioning

confidence: 99%

“…The algorithm applied for solving PDE's in ESTYM_PDE was also used in other programs for modelling adsorption chromatography processes (Kaczmarski et al, 1997Kim et al, 2005Kim et al, , 2006aKim et al, , 2006b. Other algorithms to estimate parameters of PDE are being used as well.…”

Section: The List Of Applied Kinetic Models and Description Of Numerimentioning

confidence: 99%

Mathematical Modeling of Electrode Processes – Potential Dependent Transfer Coefficient in Electrochemical Kinetics

Sanecki¹,

Skitał²

2012

Recent Trend in Electrochemical Science and Technology

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Modeling fixed-bed adsorption columns through orthogonal collocations on moving finite elements

Cited by 183 publications

References 20 publications

An Integrated Two Phases Approach to Zn2+ Ions Electroreduction on Hg

An Integrated Two Phases Approach to Zn2+ Ions Electroreduction on Hg

Simulation of Levulinic Acid Adsorption in Packed Beds using Parallel Pore/Surface Diffusion Model

Mathematical Modeling of Electrode Processes – Potential Dependent Transfer Coefficient in Electrochemical Kinetics

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