Modeling of spiral wound membranes for gas separations. Part I: An iterative 2D permeation model

Dias, Ana C.S.; Sá, Marília Caroline Cavalcante de; Fontoura, Tahyná B.; Menezes, D. Q. F.; Anzai, Thiago K.; Diehl, Fabio C.; Thompson, Pedro H.; Pinto, José Carlos

doi:10.1016/j.memsci.2020.118278

Cited by 13 publications

(8 citation statements)

References 16 publications

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“…The maximum average percentage error (MAPE) for both components are less than 3%. These MAPE values are considered acceptable compared to other similar numerical modeling works [ 20 , 21 , 22 ], which confirms the validity of the numerical model to be employed in the subsequent parametric analysis.…”

Section: Resultssupporting

confidence: 79%

“…The following assumptions were made in the proposed model: Local permeation and bulk permeate flow are described by a crossflow pattern [ 22 , 23 ]; There is no permeate mixing in the direction of the bulk permeate flow [ 19 , 23 ]; The pressure variation for flow through the permeate spacer channel is characterized by Hagen–Poiseuille equation [ 24 ]; The feed-side pressure drop is negligible [ 15 , 16 , 19 , 20 , 23 , 24 ]; The pressure drop along the central permeate collector tube is neglected (i.e., pressure is considered as atmospheric) [ 25 , 26 ]; The permeability coefficients are independent of concentration, pressure, and temperature [ 15 , 16 , 19 , 20 , 23 , 24 ]; Channel curvature is neglected and the membrane is treated as a flat sheet [ 22 , 26 ]; Operation within the SWM module is isothermal [ 16 , 18 , 19 , 20 , 27 ]. …”

Section: Model Developmentmentioning

confidence: 99%

“…The permeability coefficients are independent of concentration, pressure, and temperature [ 15 , 16 , 19 , 20 , 23 , 24 ];…”

Section: Model Developmentmentioning

confidence: 99%

“…The study of comprehensive computational fluid dynamics (CFD) was also conducted by Qadir and Ahsan [ 19 ] in order to analyze membrane-based gas separation for binary gas mixtures. In the most recent work, Dias et al [ 20 ] presented a simplified approach of a 2D permeation model for SWMs in binary gas separation applications. Pressure variation in both feed and permeate spacer channels was neglected as it was assumed insignificant along a single membrane leaf.…”

Section: Introductionmentioning

confidence: 99%

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Multicomponent Spiral Wound Membrane Separation Model for CO2 Removal from Natural Gas

et al. 2021

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A spiral wound membrane (SWM) is employed to separate acid gases (mainly CO2) from natural gas due to its robustness, lower manufacturing cost, and moderate packing density compared to hollow fiber membranes. Various mathematical models are available to describe the separation performance of SWMs under different operating conditions. Nevertheless, most of the mathematical models deal with only binary gas mixtures (CO2 and CH4) that may lead to an inaccurate assessment of separation performance of multicomponent natural gas mixtures. This work is aimed to develop an SWM separation model for multicomponent natural gas mixtures. The succession stage method is employed to discretize the separation process within the multicomponent SWM module for evaluating the product purity, hydrocarbon loss, stage cut, and permeate acid gas composition. Our results suggest that multicomponent systems tend to generate higher product purity, lower hydrocarbon loss, and augmented permeate acid gas composition compared to the binary system. Furthermore, different multicomponent systems yield varied separation performances depending on the component of the acid gas. The developed multicomponent SWM separation model has the potential to design and optimize the spiral wound membrane system for industrial application.

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Section: Resultssupporting

confidence: 79%

Section: Model Developmentmentioning

confidence: 99%

“…The permeability coefficients are independent of concentration, pressure, and temperature [ 15 , 16 , 19 , 20 , 23 , 24 ];…”

Section: Model Developmentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multicomponent Spiral Wound Membrane Separation Model for CO2 Removal from Natural Gas

et al. 2021

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“…Furthermore, it allowed the prediction of flow rates and concentrations along the membrane leaf, which are important features for the understanding of membrane operation processes. In addition, a discretization method was proposed to solve the model, which proved to be faster and more efficient than the shooting method [22]. It is also important to emphasize that industrial spiral-wound membrane separation units for CO 2 applications are formed by several leaves, which are wounded onto a central perforated collecting tube, forming one modular separation element.…”

Section: Membrane Separation Processmentioning

confidence: 99%

Modeling of Spiral Wound Membranes for Gas Separations—Part II: Data Reconciliation for Online Monitoring

et al. 2020

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The present work presents a methodology based on data reconciliation to monitormembrane separation processes reliably, online and in real time for the first time. The proposed methodology was implemented in accordance with the following steps: data acquisition; data pre-treatment; data characterization; data reconciliation; gross error detection; and critical evaluation of measured data with a soft sensor. The acquisition of data constituted the sloweststage of the monitoring process, as expected in real-time applications. The pre-treatment stage was fundamental to assure the robustness of the code and the initial characterization of collected datawas carried out offline. The characterization of the data showed that steady-state modeling of the process would be appropriate, also allowing the implementation of faster numerical procedures for the data reconciliation step. The data reconciliation step performed well, quickly and consistently. Thus, data reconciliation allowed the estimation of unmeasured variables, playing the role of a soft sensor and allowing the future installation of a digital twin. Additionally, monitoring of measurement bias constituted a tool for measurement diagnosis. As shown in the manuscript, the proposedmethodology can be successfully implemented online and in real time for monitoring of membrane separation processes, as shown through a real dashboard web application developed for monitoring of an actual industrial site.

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Modelling of spiral-wound membrane for gas separation: current developments and future direction

Latif¹,

Lau²,

Lock³

2022

60 Years of the Loeb-Sourirajan Membrane

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Modeling of spiral wound membranes for gas separations. Part I: An iterative 2D permeation model

Cited by 13 publications

References 16 publications

Multicomponent Spiral Wound Membrane Separation Model for CO2 Removal from Natural Gas

Multicomponent Spiral Wound Membrane Separation Model for CO2 Removal from Natural Gas

Modeling of Spiral Wound Membranes for Gas Separations—Part II: Data Reconciliation for Online Monitoring

Modelling of spiral-wound membrane for gas separation: current developments and future direction

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