Model for the determination of diffusion coefficients of heterovalent ions in macroporous ion exchange resins by the zero-length column method

Valverde, J.L.; Lucas, Antonio de; Carmona, Manuel; González, Marcela; Rodrı́guez, Juan F.

doi:10.1016/j.ces.2005.05.043

Cited by 21 publications

(11 citation statements)

References 13 publications

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“…This so called electric double layer is described by Eq. (20) and replaces boundary condition (Eq. (6)) in the adsorption model:…”

Section: Double Layer Modelmentioning

confidence: 99%

“…The adsorption kinetics onto LDH are often described with simple models, such as the first order model, second order model and Elovich model [12][13][14][15][16][17][18][19]. Valverde et al [20] describes a model for ion exchange in a macroporous particle. This model is based on the differential mass balance for ion exchange and is used to analyse the adsorption kinetics of LAS onto LDH.…”

Section: Nomenclature Bmentioning

confidence: 99%

“…A mathematical model for ion exchange is proposed by Valverde et al [20]. The model describes a flux of ions A entering the particle and a flux of ions B leaving the particle.…”

Section: Ion Exchange Model (Ldh)mentioning

confidence: 99%

“…(12) is added. The values of D sA and D sB are also taken from Valverde et al [20] and the estimation approach is equal to the estimation of D pA and D pB .…”

Section: Parameter Estimationmentioning

confidence: 99%

“…(12). The diffusion coefficient (D pB ) is taken from Valverde et al [20] and the D pA is obtained by calculation of the model in gPROMS. This is repeated by estimating D pB and keeping D pA at the value obtained from the last estimation.…”

Section: Parameter Estimationmentioning

confidence: 99%

See 4 more Smart Citations

Kinetic analysis of anionic surfactant adsorption from aqueous solution onto activated carbon and layered double hydroxide with the zero length column method

Schouten¹,

Ham

Euverink³

et al. 2009

Separation and Purification Technology

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“…This so called electric double layer is described by Eq. (20) and replaces boundary condition (Eq. (6)) in the adsorption model:…”

Section: Double Layer Modelmentioning

confidence: 99%

Section: Nomenclature Bmentioning

confidence: 99%

“…A mathematical model for ion exchange is proposed by Valverde et al [20]. The model describes a flux of ions A entering the particle and a flux of ions B leaving the particle.…”

Section: Ion Exchange Model (Ldh)mentioning

confidence: 99%

“…(12) is added. The values of D sA and D sB are also taken from Valverde et al [20] and the estimation approach is equal to the estimation of D pA and D pB .…”

Section: Parameter Estimationmentioning

confidence: 99%

Section: Parameter Estimationmentioning

confidence: 99%

See 3 more Smart Citations

Kinetic analysis of anionic surfactant adsorption from aqueous solution onto activated carbon and layered double hydroxide with the zero length column method

Schouten¹,

Ham

Euverink³

et al. 2009

Separation and Purification Technology

View full text Add to dashboard Cite

A multiple mechanism model for measuring extra‐ and intraparticle mass transport in ion exchange resins

Nesbitt¹,

Petersen

2019

AIChE Journal

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A diffusion-based kinetic model for resin-based ion exchange is proposed that simultaneously describes extra-and intraparticle diffusion for the purpose of predicting batch transient adsorption rates during resin operation. The extraparticle diffusion is simulated through Newton's-law-of-cooling assuming a stagnant laminar layer, while the intraparticle simulation assumes a homogeneous internal pore environment and uses the Nernst-Planck equation to describe multi-ion diffusion. The key parameters of the model are the mass transfer coefficient, the intrinsic diffusivities of the adsorbing and desorbing ions and the equilibrium coefficient associated with the Mass-Action-Law, which is assumed to be applicable at the liquid/resin interface. A novel method is described to determine the critically important ion concentration at the interface from experiment. Kinetic tests are undertaken in a closed circuit system, adsorbing Na, Mg, and Ba ions separately onto gel type acid resin, and the simulation is fitted to the measured raw data using the Hook-Jeeves search algorithm. The intraparticle diffusivities of the three ions are hence measured and reported.

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Ion Exchange Equilibria and Kinetics

Lito

Cardoso

Loureiro³

et al. 2012

Ion Exchange Technology I

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Model for the determination of diffusion coefficients of heterovalent ions in macroporous ion exchange resins by the zero-length column method

Cited by 21 publications

References 13 publications

Kinetic analysis of anionic surfactant adsorption from aqueous solution onto activated carbon and layered double hydroxide with the zero length column method

Kinetic analysis of anionic surfactant adsorption from aqueous solution onto activated carbon and layered double hydroxide with the zero length column method

A multiple mechanism model for measuring extra‐ and intraparticle mass transport in ion exchange resins

Ion Exchange Equilibria and Kinetics

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