NUMERICAL ANALYSIS OF A GAS SEPARATION OF CH4/CO2 USING HOLLOW FIBER MEMBRANE MODULE

Year 2018, Volume: 36 Issue: 2, 500 - 510, 01.06.2018

Salman Qadır Arshad Hussaın Muhammad Ahsan

Abstract

In this research, an approximated technique is proposed for predicting the performance of membrane gas separation using an asymmetric membrane-based gas separator. The permeation behavior of the high-flux asymmetric membrane varies from that of the traditional symmetric membrane. The advanced mathematical model has been applied in this study for the separation of a binary gas mixture. In the present work, a shell-fed hollow fiber module like counter-current flow pattern is modeled mathematically for CO2 separation from CH4. Finite Difference method (FDM) is applied to solving the equations numerically. The models offered separation for a membrane module, for given gas conditions, simulating permeate and residue composition and the stage cut. The different parameters are investigating like a change in the pressure ratio, stage cut and feed flow rates. The numerical approach is helpful as it entails the least effort and computational time due to the fact algebraic equations are used instead of differential equations. The obtained model’s data also verified with numerical and experimental results available in the literature.

Keywords

Hollow fiber membrane module, counter-current flow pattern, membrane gas separation, non-porous membranes, carbon dioxide, methane.

References

• [1] Ahmad, F., Lau, K., Lock, S., Rafiq, S., Khan, A.U., and Lee, M., 2015. Hollow fiber membrane model for gas separation: Process simulation, experimental validation and module characteristics study. Journal of Industrial and Engineering Chemistry 21, 1246-1257.
• [2] Ahsan, M. and Hussain, A., 2016. Mathematical modelling of membrane gas separation using the finite difference method. Pacific Science Review A: Natural Science and Engineering 18, 1, 47-52.
• [3] Antonson, C.R., Gardner, R.J., King, C.F., and Ko, D.Y., 1977. Analysis of gas separation by permeation in hollow fibers. Industrial & Engineering Chemistry Process Design and Development 16, 4, 463-469.
• [4] Baker, R.W., 2000. Membrane technology. Wiley Online Library.
• [5] Basaran, O.A. and Auvil, S.R., 1988. Asymptotic analysis of gas separation by a membrane module. AIChE Journal 34, 10, 1726-1731.
• [6] Boucif, N., Majumdar, S., and Sirkar, K.K., 1984. Series solutions for a gas permeator with countercurrent and cocurrent flow. Industrial & engineering chemistry fundamentals 23, 4, 470-480.
• [7] Boucif, N., Sengupta, A., and Sirkar, K.K., 1986. Hollow fiber gas permeator with countercurrent or cocurrent flow: series solutions. Industrial & engineering chemistry fundamentals 25, 2, 217-228.
• [8] Bounaceur, R., Berger, E., Pfister, M., Santos, A.A.R., and Favre, E., 2017. Rigorous variable permeability modelling and process simulation for the design of polymeric membrane gas separation units: MEMSIC simulation tool. Journal of membrane science 523, 77-91.
• [9] Geankoplis, C.J., 2003. Transport processes and separation process principles:(includes unit operations). Prentice Hall Professional Technical Reference.
• [10] Gilassi, S., Taghavi, S.M., Rodrigue, D., and Kaliaguine, S., 2017. Simulation of Gas Separation Using Partial Element Stage Cut Modeling of Hollow Fiber Membrane Modules. AIChE Journal.
• [11] Hosseini, S.S., Dehkordi, J.A., and Kundu, P.K., 2016. Mathematical Modeling and Investigation on the Temperature and Pressure Dependency of Permeation and Membrane Separation Performance for Natural gas Treatment. Chemical Product and Process Modeling 11, 1, 7-10.
• [12] Ji, P., Cao, Y., Zhao, H., Kang, G., Jie, X., Liu, D., Liu, J., and Yuan, Q., 2009. Preparation of hollow fiber poly (N, N-dimethylaminoethyl methacrylate)–poly (ethylene glycol methyl ether methyl acrylate)/polysulfone composite membranes for CO 2/N 2 separation. Journal of membrane science 342, 1, 190-197.
• [13] Kanehashi, S., Sato, S., Nagai, K., Budd, P.M., Mckeown, N.B., Fritsch, D., Yampolskii, Y., Shantarovich, V., Starannikova, L., and Belov, N., 2010. Membrane gas separation.
• [14] Khoo, H.H. and Tan, R.B., 2006. Life cycle investigation of CO2 recovery and sequestration. Environmental science & technology 40, 12, 4016-4024.
• [15] Kundu, P.K., Chakma, A., and Feng, X., 2014. Effectiveness of membranes and hybrid membrane processes in comparison with absorption using amines for post-combustion CO 2 capture. International Journal of Greenhouse Gas Control 28, 248-256.
• [16] Lemanski, J. and Lipscomb, G., 2000. Effect of fiber variation on the performance of countercurrent hollow fiber gas separation modules. Journal of Membrane Science 167, 2, 241-252.
• [17] Nagel, C., Günther-Schade, K., Fritsch, D., Strunskus, T., and Faupel, F., 2002. Free volume and transport properties in highly selective polymer membranes. Macromolecules 35, 6, 2071-2077.
• [18] Pan, C., 1986. Gas separation by high‐flux, asymmetric hollow‐fiber membrane. AIChE Journal 32, 12, 2020-2027.
• [19] Perrin, J. and Stern, S., 1985. Modeling of permeators with two different types of polymer membranes. AIChE journal 31, 7, 1167-1177.
• [20] Rautenbach, R. and Dahm, W., 1986. Simplified calculation of gas-permeation hollow-fiber modules for the separation of binary mixtures. Journal of membrane science 28, 3, 319-327.
• [21] Ravanchi, M.T., Kaghazchi, T., and Kargari, A., 2009. Application of membrane separation processes in petrochemical industry: a review. Desalination 235, 1, 199-244.
• [22] Shamsabadi, A.A., Kargari, A., Farshadpour, F., and Laki, S., 2012. Mathematical modeling of CO2/CH4 separation by hollow fiber membrane module using finite difference method. Journal of Membrane and Separation Technology 1, 1, 19-29.
• [23] Sohrabi, M.R., Marjani, A., Moradi, S., Davallo, M., and Shirazian, S., 2011. Mathematical modeling and numerical simulation of CO 2 transport through hollow-fiber membranes. Applied Mathematical Modelling 35, 1, 174-188.
• [24] Soni, V., Abildskov, J., Jonsson, G., and Gani, R., 2009. A general model for membrane-based separation processes. Computers & Chemical Engineering 33, 3, 644-659.
• [25] Tessendorf, S., Gani, R., and Michelsen, M.L., 1999. Modeling, simulation and optimization of membrane-based gas separation systems. Chemical engineering science 54, 7, 943-955.