Mathematical modelling of membrane gas separation using the finite difference method

Ahsan, Muhammad; Hussain, Arshad

doi:10.1016/j.psra.2016.07.001

Cited by 12 publications

(18 citation statements)

References 28 publications

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“…The wide range of stage cut has been obtained through alteration in the feed flow rate with the setup as provided in Feng et al 's original work . The collected experimental data by Feng et al has been extensively used to validate many simulation works related to hollow fiber membrane system in previous published literatures, which demonstrates its reliability and applicability to evaluate accuracy of the present model.…”

Section: Resultsmentioning

confidence: 86%

“…The countercurrent flow hollow fiber membrane modeled in this work has been provided in Fig. (a), whereby major assumptions are as follows: Essentially no back mixing is assumed with ‘plugs’ of gas passing through the hollow fiber membrane . Therefore, hollow fiber membrane can be divided into predefined number of states, whereby mass balance can be performed independently. All hollow fibers within the membrane are similar .…”

Section: Methodsmentioning

confidence: 99%

“…(a), whereby major assumptions are as follows: Essentially no back mixing is assumed with ‘plugs’ of gas passing through the hollow fiber membrane . Therefore, hollow fiber membrane can be divided into predefined number of states, whereby mass balance can be performed independently. All hollow fibers within the membrane are similar . In other words, specification of the hollow fibers, such as inner and outer diameter as well as thickness, is uniform. The shell side pressure variations are negligible, while permeate pressure build‐up can be described using Hagen–Poiseuille equation …”

Section: Methodsmentioning

confidence: 99%

“…Deformation of the hollow fibers under pressure is negligible Concentration polarization effect can be neglected for integrally skinned asymmetric PSF hollow fiber membrane under study Membrane permeability is merely dependent upon operating temperature, T , and film thickness, l , at varying aging time, t , in order to isolate and to highlight the contribution of thickness and temperature dependent physical aging towards separation mechanism of membranes in the present study .…”

Section: Methodsmentioning

confidence: 99%

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Process simulation and optimization of oxygen enriched combustion using thin polymeric membranes: effect of thickness and temperature dependent physical aging

Lock

Lau

Shariff

et al. 2019

J of Chemical Tech & Biotech

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BACKGROUND Limited work has been available to model thickness and temperature dependent physical aging encountered in polymeric membranes for gas separation to provide physically intuitive interpretation underlying the process. The Tait equation of states has been integrated within conventional dual mode mathematical model to characterize the physical aging mechanism, whereby the model requires merely temperature dependent parameters. Subsequently, the Tait‐dual mode mechanism model has been incorporated within a succession of states methodology that quantifies transport mechanism in a countercurrent hollow fiber membrane. Finally, the developed mathematical model has been implemented in Aspen HYSYS to constitute an oxygen enrichment plant. RESULTS The simulation model has been validated with experimental observation with an acceptable error of < 6.5%. The process simulation tool has been used to evaluate the separation performance of oxygen enrichment plant using polymeric membrane with consideration of operating temperature (35–55 °C) and thickness dependent (400–1000 nm) physical aging. It is found that the optimal membrane design that generates highest profitability with physical aging consideration is at film thickness of ∼400 nm and operating temperature of 55 °C. Under such operating condition, the deviation between ideal and non‐ideal simulation model is also the smallest at ∼6%, which implies that physical aging has the least impact to the operability of the plant. CONCLUSION The developed simulation model has the potential to be applied for complex membrane system design (multiple membranes or hybrid system), scale up and optimization study that is essentially required for industrial scale application. © 2019 Society of Chemical Industry

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Section: Resultsmentioning

confidence: 86%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

See 2 more Smart Citations

Process simulation and optimization of oxygen enriched combustion using thin polymeric membranes: effect of thickness and temperature dependent physical aging

Lock

Lau

Shariff

et al. 2019

J of Chemical Tech & Biotech

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“…By mathematically modeling the flow of fluid in membrane tubes equipped with baffles, the wall concentration and local flux by mass balance have been studied [13][14][15]. Numerical methods with great precision, such as computational fluid dynamics (CFD), have been developed and established in the last decade [16,17].…”

Section: Introductionmentioning

confidence: 99%

Computational Fluid Dynamics (CFD) Simulation and Comparison for Different Numbers of Baffles to Reduce Concentration Polarization Effects in Membrane Tubes

Ahsan

Hussain

2017

J. Eng. Technol. Sci.

Self Cite

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Abstract. This research shows the use of computational fluid dynamics (CFD) with finite volume method (FVM) to study the species diffusion and mixing characteristics in a tubular membrane filled with vertical baffles. This study exhibits how to set up the FVM for CFD simulation and residence time distribution (RTD) analysis and compare the mixing characteristics of two membrane tubes with a different number of baffles using RTD curves. In this study, the effects of the number of baffles on flow patterns, features and behavior of air were identified completely through computational fluid dynamics (CFD) simulations. In addition, a two-dimensional simulation was implemented to study the effects of steady and unsteady (transient) flow in the tubular membrane. The residence time distribution (RTD) of a tracer in a co-current flow pattern was investigated. For this, the tracer was injected for 1 second into the membrane tubes on a frozen flow field and the concentration variation of the tracer over time was monitored at the outlet.

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Nitrogen recovery from wastewater and human urine with hydrophobic gas separation membrane: experiments and modelling

2019

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In agriculture, the human urine could have been used as a natural fertilizer, although there are some problems with the direct utilization, such as the presence of micropollutants in urine, odour and storage of large volume of urine. Therefore, nutrients, such as nitrogen, can be recovered from urine. Continuous flow laboratory membrane reactor was built to investigate nitrogen recovery from wastewater and from human urine. Membrane gas separation method has not been investigated for ammonia recovery from human urine yet. Nitrogen as ammonia gas was recovered in acid using Zeus Aeos™ ePTFE gaspermeable hydrophobic membrane. Acid flux, operating pH, hydraulic retention time and effective membrane surface were experimentally determined. The aim of this work was to verify wastewater experiments in professional flowsheet environment, rigorously modelled with ChemCAD and optimized by dynamic programming optimization method: the membrane separation. Such nitrogen recovery membrane separation has not been published in this professional flowsheet environment yet. The objective function of the process is the ammonia harvesting efficiency. Eighty-five percentage ammonia harvesting efficiency can be reached with 60 membrane surface area/reactor volume ratio, at 35 °C feed temperature with 350 L/m 2 h acid and in 8 h' hydraulic retention time. It can be stated that this separation method is based on physical phenomena without any biological factors. The focus for nitrogen treatment in a wastewater treatment plant is removal instead of recovery. It can be determined that this system is capable for the nitrogen recovery from wastewater, and it can reduce the ammonia content of human urine too.

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Mathematical modelling of membrane gas separation using the finite difference method

Cited by 12 publications

References 28 publications

Process simulation and optimization of oxygen enriched combustion using thin polymeric membranes: effect of thickness and temperature dependent physical aging

Process simulation and optimization of oxygen enriched combustion using thin polymeric membranes: effect of thickness and temperature dependent physical aging

Computational Fluid Dynamics (CFD) Simulation and Comparison for Different Numbers of Baffles to Reduce Concentration Polarization Effects in Membrane Tubes

Nitrogen recovery from wastewater and human urine with hydrophobic gas separation membrane: experiments and modelling

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