Numerical simulation of a fixed‐bed adsorption column by the method of orthogonal collocation

Raghavan, N.S.; Ruthven, Douglas M.

doi:10.1002/aic.690290608

Cited by 136 publications

(41 citation statements)

References 9 publications

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“…Mathematically, it may be due to the fact that an increase in Biot number reduces the effect of the dispersion term, which ultimately affects the solution profiles and, therefore, no significant change occurs for Bi ≥ 10. Raghvan and Ruthven (1983) have used the term film resistance parameter instead of Biot number and have shown that, under practical conditions of fixed bed adsorbers, Bi ≤ 10 is of practical importance because of large volume equilibrium constant.…”

Section: Effect Of Biot Number On Exit Solute Concentrationmentioning

confidence: 99%

“…For the past few decades, these problems have gained momentum in the field of mathematical modelling as well. A variety of models related to adsorption-desorption and diffusiondispersion phenomena (Raghvan and Ruthven, 1983;Al-Jabari et al, 1994;Sridhar et al, 1994;Eriksson et al, 1996;Potucek, 1997;Liu and Bhatia, 2001;Ding and Bhatia, 2003;Arora et al, 2006) have been developed. Bhatia (1987) and Liu and Bhatia (2001) have discussed radial diffusivity in gaseous form.…”

Section: Introductionmentioning

confidence: 99%

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Modelling of displacement washing of packed bed of fibers

Arora

Potůček

2009

Braz. J. Chem. Eng.

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-The mechanism of displacement washing of packed bed of porous, compressible and cylindrical particles, e.g., fibers, is presented with the help of an axial dispersion model involving Peclet number (Pe) and Biot number (Bi). Bulk fluid concentration, intra-pore solute concentration and concentration of solute adsorbed on the fiber surface are taken to be the function of washing time and position in the bed. Concentration of solute adsorbed on the fiber surface and intra-pore solute concentration are related by a Langmuir adsorption isotherm. Experiments have been performed on pulp beds formed from unbeaten, unbleached kraft fibers. Displacement washing has been simulated using a laboratory washing cell. Model equations are solved by using orthogonal collocation on finite elements (OCFE). Model predicted values are compared with the experimental values and key industrial parameters such as displacement ratio and efficiency are expressed in terms of exit and average solute concentrations.

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Section: Effect Of Biot Number On Exit Solute Concentrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling of displacement washing of packed bed of fibers

Arora

Potůček

2009

Braz. J. Chem. Eng.

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“…An efficient discretization method is needed for the column length axis. Raghavan and Ruthven used the orthogonal collocation (OC) method for fix-bed adsorption column modeling [4]. This method is efficient for relatively non-stiff systems.…”

Section: Introductionmentioning

confidence: 99%

A General Rate Model of Ion-Exchange Chromatography for Investigating Ion-Exchange Behavior and Scale-up

Mehay¹,

Gu²

2014

J Microb Biochem Technol

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This work presents a general rate model for ion-exchange in column chromatography with the steric massaction isotherm that is suitable for ion-exchange systems involving macromolecules such as large proteins. This comprehensive model considers axial dispersion, interfacial film mass transfer between the bulk-fluid phase and the particle phase, and intraparticle diffusion. The model system has been solved numerically using the finite element method and the orthogonal collocation method with a graphical user interface for Windows based personal computers. The effect of pH is modeled by including buffers, acids, and bases as species in the model system, allowing the induced pH gradients resulted from H + or OH -sorption by the ion exchanger to be described in the model. Feed profiles of all the species can be specified individually allowing complicated gradient patterns. The software, known as Chromulator-IEX, may be a useful tool for the investigation of ion-exchange chromatography behavior and its scale-up.

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“…To correlate the intrapore solute concentration and the bulk fluid concentration, it is necessary to define a relation between these two in terms of axial distance. Rasmuson & Neretnieks (1980) and Raghvan & Ruthven (1983) have related the particle phase and bulk fluid phase by defining the condition at the particle boundary. Therefore, Eq.…”

Section: Model For the Bulk Fluidmentioning

confidence: 99%

“…The diffusion dispersion problems arising from packed bed reactors have always motivated the scientists for the development of new models (Pellet, 1966;Grähs, 1974;Neretnieks, 1974Neretnieks, , 1976Perron & Lebeau, 1977;Al-Jabari et al, 1994;Kukreja et al, 1995;Eriksson et al, 1996;Potůček, 1997;Potůček & Pulcer, 2004;Arora et al, 2006Arora et al, , 2008. It has given rise to the use of a variety of analytical and numerical techniques for the solution of these models such as Laplace transforms (Brenner, 1962;Pellett, 1966;Rasmuson & Neretnieks, 1980;Liao & Shiau, 2000;Aminikhah, 2012), orthogonal collocation method (Villadsen & Stewart, 1967;Michelsen & Villadsen, 1971;Raghvan & Ruthven, 1983;Adomaitis & Lin, 2000;Solsvik & Jakobsen, 2012), orthogonal collocation on finite elements (Carey & Finlayson, 1975;Ma & Guiochon, 1991;Arora et al, 2005Arora et al, , 2006Arora et al, , 2008, Galerkin method (Liu & Bhatia, 2001;Onah, 2002;Bhrawy & El-Soubhy, 2010;Nadukandi et al, 2010;Shen et al, 2011;Zhu et al, 2011;Solsvik & Jakobsen, 2012), Tau method (ElDaou & Al-Matar, 2010;Vanani & Aminataei, 2011;…”

Section: Introductionmentioning

confidence: 99%