Mathematical modelling of CO₂ facilitated transport through liquid membranes containing amines as carrier

Abstract

An approximate analytical solution for the facilitated transport of carbon dioxide across a liquid membrane containing aqueous primary and secondary amine solutions has been developed in which the reversible reaction A(CO 2 ) + 2B(amine) ⇔ AB(carbamate) + BH(protonated amine) occurs inside the liquid membranes. The current approximate analytical solution predicts the facilitated factor of CO 2 through the membrane and is based on the dimensionless, nonlinear diffusion-reaction transport problem. The approximate analytical solution predicts the facilitation factors for the range from the moderate reaction rate to the equilibrium chemical reaction regime, allowing unequal diffusivities of complexes and carrier and cases of zero and nonzero permeate side solute concentrations. In the present mathematical model, a constant free carrier concentration is assumed throughout the membrane phase. In comparison with the numerically calculated results, the results obtained were found to be in well agreement.On a mis au point une solution analytique approximative pour le transport de gaz carbonique dans une membrane liquide contenant des solutions d'amines primaires et secondaires aqueuses, dans laquelle la réaction réversible A(CO 2 ) + 2B(amine) ⇔ AB(carbamate) + BH(amine protonée) survientà l'intérieur des membranes liquides. La solution analytique approximative actuelle prédit le facteur facilité de CO 2 dans la membrane et repose sur le problème de transport diffusion-réaction adimensionnel non linéaire. La solution analytique approximative prédit les facteurs de facilitation pour la gamme allant de la vitesse de réaction modérée au régime de réaction chimiqueà l'équilibre, ce qui permet des diffusivités inégales des complexes et du transporteur et des cas de concentrations de solutés du côté du perméat nul et non nuls. Dans le présent modèle mathématique, on suppose une concentration de transporteur libre constante dans toute la phase de la membrane. Un bon accord aété trouvé entre ces résultats et les résultats numériques.

Facilitated transport of Europium through supported liquid membrane using Cyanex272 as carrier and mass transfer modelling

“…Over a differential volume element of thickness Dz, the transient diffusion of the carrier and metal-carrier complex in the membrane phase is written by Equations (10) and (11). In this model, unlike the other models, [21,22] the variation of the carrier concentration in the membrane phase is considered.…”

“…Equations (8,10,11,21) present a detailed model for the SLM system. In order to simplify the equations, the following dimensionless groups are defined:…”

“…organic compounds, [5,6] metal ions, [7][8][9][10] and gases and hydrocarbons. [11][12][13] Recently, rare earth metals have found many important applications in electric and many other high technology industries. Europium, one of the rare earth elements, has unique luminescent behaviour and is used as a phosphor in all TVs and computer screens to create red and blue light.…”

Carbon dioxide sequestration in petrochemical industries with the aim of reduction in greenhouse gas emissions

“…Capture from industrial process streams, in ammonia and hydrogen production from hydrocarbon feed or coal, for instance, CO 2 separation from syngas is an important step. Another application of this technology is in natural gas sweetening in which CO 2 and acid gases (such as H 2 S and mercaptanes) are separated from natural gas [11][12][13]. High temperature, low pressure, low CO 2 concentration and the presence of impurities such as oxygen, SO x and NO x increase separation cost.…”

Preparation and Characterization of PMMA and its Derivative via RAFT Technique in the Presence of Disulfide as a Source of Chain Transfer Agent

“…Facilitated transport membranes for gas separation have attracted the attention of many researchers, due to their very high permselectivity compared with conventional polymeric membranes [1]. Moreover, they involve a carrier mediated transport in addition to permeate physical dissolution and diffusion.…”