Absence of experimental evidence of a delta-shock in the system phenetole and 4-tert-butylphenol on Zorbax 300SB-C18

Jermann, Simon; Ortner, Franziska; Rajendran, Arvind; Mazzotti, Marco

doi:10.1016/j.chroma.2015.11.003

Cited by 7 publications

(21 citation statements)

References 8 publications

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“…The exact feed compositions are reported in Table . We note that experiments BT1 to BT13 ( r = 0.5742) have been presented previously and will be reanalyzed here. To extend the investigated range of conditions, one additional experiment at r = 0.5742 at higher concentrations (close to the solubility limit) was performed, as well as three experiments at r = 0.50 and two at r = 0.43.…”

Section: Resultsmentioning

confidence: 98%

“…These are illustrated as red filled circles in the three ternary diagrams in Figure 6, which in their corners show pure PNT, pure TBP, and pure eluent of the relevant composition r. The exact feed compositions are reported in Table 4. We note that experiments BT1 to BT13 (r = 0.5742) have been presented previously 3 and will be reanalyzed here. To extend the investigated range of conditions, one additional experiment at r = 0.5742 at higher concentrations (close to the solubility limit) was performed, as well as three experiments at r = 0.50 and two at r = 0.43.…”

Section: ■ Experimental Sectionmentioning

confidence: 99%

“…In liquid chromatography, adsorption equilibria are commonly described assuming ideal (i.e., dilute) behavior in both the liquid and adsorbed phases. − Single-component isotherms are assumed to be a function of the liquid-phase concentrations (ideal liquid phase). Interactions between multiple adsorbing components are often described by binary (or multicomponent) isotherms obtained by empirically combining single-component isotherms or in a thermodynamically consistent way by applying the ideal adsorbed solution theory (AST) , (assuming an ideal adsorbed phase).…”

Section: Introductionmentioning

confidence: 99%

“…However, operating at high solute concentrations may result in considerable nonidealities in the liquid and/or adsorbed phases such that models based on the assumption of ideality might fail outside a very limited range of operating conditions. , In this work, we apply thermodynamic concepts to describe adsorption in an experimental system in a thermodynamically consistent manner and over a broad range of operating conditions, accounting for nonidealities in both liquid and adsorbed phases. The system under investigation involves the adsorbent Zorbax 300SB-C18, two adsorbing components phenetole (PNT) and 4- tert -butylphenol (TBP), and the solvent components water and methanol (both assumed to be nonadsorbable).…”

Section: Introductionmentioning

confidence: 99%

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Description of Adsorption in Liquid Chromatography under Nonideal Conditions

2018

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A thermodynamically consistent description of binary adsorption in reversed-phase chromatography is presented, accounting for thermodynamic nonidealities in the liquid and adsorbed phases. The investigated system involves the adsorbent Zorbax 300SB-C18, as well as phenetole and 4- tert-butylphenol as solutes and methanol and water as inert components forming the eluent. The description is based on adsorption isotherms, which are a function of the liquid-phase activities, to account for nonidealities in the liquid phase. Liquid-phase activities are calculated with a UNIQUAC model established in this work, based on experimental phase equilibrium data. The binary interaction in the adsorbed phase is described by the adsorbed solution theory, assuming an ideal (ideal adsorbed solution theory) or real (real adsorbed solution theory) adsorbed phase. Implementation of the established adsorption model in a chromatographic code achieves a quantitative description of experimental elution profiles, with feed compositions exploiting the entire miscible region, and involving a broad range of different eluent compositions (methanol/water). The quantitative agreement of the model and experimental data serves as a confirmation of the underlying physical (thermodynamic) concepts and of their applicability to a broad range of operating conditions.

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Section: Resultsmentioning

confidence: 98%

Section: ■ Experimental Sectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Description of Adsorption in Liquid Chromatography under Nonideal Conditions

2018

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“…Recently, the delta shock wave has been observed experimentally in [11,14] for the local equilibrium model of two-component nonlinear chromatography attributed to a mixed competitive-cooperative generalized Langmuir isotherm. In fact, the delta shock wave is a nonclassical and singular transition front between two constant composition states that may occur in the theory of chromatography due to the competitivecooperative interaction between two chemical components.…”

Section: Introductionmentioning

confidence: 99%

The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component

Ji¹,

Shen²

2016

J. Nonlinear Sci. Appl.

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The solutions of the perturbed Riemann problem for the chromatography system of Langmuir isotherm with one inert component are constructed in completely explicit forms when the initial data are taken as three piecewise constant states. The wave interaction problem is investigated in detail by using the method of characteristics. In addition, the generalized Riemann problem with the delta-type initial data is considered and the delta contact discontinuity is discovered. Moreover, the strength of delta contact discontinuity decreases linearly at a constant rate and then the delta contact discontinuity degenerates to be the contact discontinuity when across the critical point. c 2016 all rights reserved.

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Singular shocks in a chromatography model

Tsikkou

2016

Journal of Mathematical Analysis and Applications

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We consider a system of two equations that can be used to describe nonlinear chromatography and produce a coherent explanation and description of the unbounded solutions (singular shocks) that appear in Mazzotti's model [28]. We use the methods of Geometric Singular Perturbation Theory, to show existence of a viscous solution to Dafermos-DiPerna regularization.2000 Mathematics Subject Classification. Primary 35L65, 35L67; Secondary 34E15, 34C37.

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Absence of experimental evidence of a delta-shock in the system phenetole and 4-tert-butylphenol on Zorbax 300SB-C18

Cited by 7 publications

References 8 publications

Description of Adsorption in Liquid Chromatography under Nonideal Conditions

Description of Adsorption in Liquid Chromatography under Nonideal Conditions

The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component

Singular shocks in a chromatography model

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