Journal of Industrial and Engineering Chemistry, Vol.39, 48-65, July, 2016
Time-dependent mathematical modeling of binary gas mixture in facilitated transport membranes (FTMs): A real condition for single-reaction mechanism
E-mail:,
In this study, a comprehensive time-dependent mathematical model for gas separation through the facilitated transport membranes (FTMs) is presented. The model results have been validated with independent CO2/N2 binary gas mixture experiments in DEA-impregnated PVA membranes. In the proposed model, non-equal diffusion coefficients of the carrier/complex and equilibrium constant for the chemical reaction kinetics between the carrier/permeant in the FTM have been considered. In addition, a method to compute the diffusion coefficients, which depend on the concentration of each component in the FTM, is presented. Moreover, effect of carrier concentration, feed partial pressure, kinetics of reversible chemical reactions and membrane performances depending on operating condition have been analyzed. Owing to accurate calculation of physical.chemical parameter involved, this model is much more executive comparing to previous works. In addition, the real condition of the reaction kinetics and influencing of diffusion parameters of the components in FTMs, have been investigated. The predicted selectivity and permeability revealed good conformity with experimental data; with standard deviation (SD) 8.57% and 12.87%, respectively. In conclusion, this model with significant validity would be predictive in cases for the entire range of diffusion-limit to a chemical-limit regime where the experimental data, geometry condition, physical.chemical property of parameters is not available.
Keywords:Mixed gas separation;Facilitated transport membrane;Instantaneous reaction;Numerical modeling;Non liner reaction diffusion equation
- Powell CE, Qiao GG, J. Membr. Sci., 279(1-2), 1 (2006)
- Amooghin AE, Pedram MZ, Omidkhah M, Yegani R, Greenh. Gases: Sci. Technol., 3, 378 (2013)
- Rezakazemi M, Amooghin AE, Montazer-Rahmati MM, Ismail AF, Matsuura T, Prog. Polym. Sci, 39, 817 (2014)
- Amooghin AE, Sanaeepur H, Kargari A, Moghadassi A, Sep. Purif. Technol., 82, 102 (2011)
- Kim MJ, Park YI, Youm KH, Lee KH, J. Membr. Sci., 245(1-2), 79 (2004)
- Sanaeepur H, Amooghin AE, Moghadassi A, Kargari A, Sep. Purif. Technol., 80(3), 499 (2011)
- Sanaeepur H, Hosseinkhani O, Kargari A, Amooghin AE, Raisi A, Desalination, 289, 58 (2012)
- Sirkar SK, in: Ho ASW, Sirkar KK (Eds.), Membrane Handbook, Van Nostrand Reinhold, New York, 1992, p. 3.
- Ward WJ, Robb WL, Science, 156, 1481 (1967)
- Amooghin AE, Omidkhah M, Kargari A, RSC Adv., 5, 8552 (2015)
- Amooghin AE, Omidkhah M, Kargari A, J. Membr. Sci., 490, 364 (2015)
- Loloei M, Moghadassi A, Omidkhah M, Amooghin AE, Greenh. Gases: Sci. Technol., 5, 530 (2015)
- Amooghin AE, Sanaeepur H, Moghadassi A, Kargari A, Ghanbari D, Mehrabadi ZS, Sep. Sci. Technol., 45(10), 1385 (2010)
- Goyette ML, Longin TL, Noble RD, Koval CA, J. Membr. Sci., 212(1-2), 225 (2003)
- Kim JH, Lee DH, Won J, Jinnai H, Kang YS, J. Membr. Sci., 281(1-2), 369 (2006)
- Kim JH, Park SM, Won J, Kang YS, J. Membr. Sci., 236(1), 209 (2004)
- Pandey P, Chauhan R, Prog. Polym. Sci, 26, 853 (2001)
- Teramoto M, Shimizu S, Matsuyama H, Matsumiya N, Sep. Purif. Technol., 44(1), 19 (2005)
- Viegas RMC, Afonso CAM, Crespo JG, Coelhoso IM, Sep. Purif. Technol., 53(3), 224 (2007)
- Zou J, Ho WSW, J. Membr. Sci., 286(1-2), 310 (2006)
- Zou J, Ho WSW, J. Membr. Sci., 286(1-2), 310 (2006)
- Pedram MZ, Omidkhah M, Amooghin AE, Yegani R, Polym. Eng. Sci., 54(6), 1268 (2014)
- Gorji AH, Kaghazchi T, Can. J. Chem. Eng., 86(6), 1039 (2008)
- Heydari A, Kaghazchi T, Kargari A, Desalination, 235(1-3), 245 (2009)
- Cussler E, Aris R, Bhown A, J. Membr. Sci., 43, 149 (1989)
- Figoli A, Sager WFC, Mulder MHV, J. Membr. Sci., 181(1), 97 (2001)
- Al Marzouqi MH, Abdulkarim MA, Marzouk SA, El-Naas MH, Hasanain HM, Ind. Eng. Chem. Res., 44(24), 9273 (2005)
- Ito A, Duan SH, Ikenori Y, Ohkawa A, Sep. Purif. Technol., 24(1-2), 235 (2001)
- Kreulen H, Smolders C, Versteeg G, Swaaij VW, J. Membr. Sci., 82, 185 (1993)
- Saha S, Chakma A, J. Membr. Sci., 98(1-2), 157 (1995)
- Teramoto M, Nakai K, Ohnishi N, Huang QF, Watari T, Matsuyama H, Ind. Eng. Chem. Res., 35(2), 538 (1996)
- Way JD, Noble RD, J. Membr. Sci., 46, 309 (1989)
- Guha AK, Majumdar S, Sirkar KK, Ind. Eng. Chem. Res., 29, 2093 (1990)
- Teramoto M, Huang QF, Maki T, Matsuyama H, Sep. Purif. Technol., 16(2), 109 (1999)
- Yamaguchi T, Boetje LM, Koval CA, Noble RD, Bowman CN, Ind. Eng. Chem. Res., 34(11), 4071 (1995)
- Yamaguchi T, Koval CA, Noble RD, Bowman CN, Chem. Eng. Sci., 51(21), 4781 (1996)
- Ho WS, Dalrymple DC, J. Membr. Sci., 91(1-2), 13 (1994)
- Vanzyl AJ, Linkov VM, J. Membr. Sci., 133(1), 15 (1997)
- van Zyl AJ, Kerres JA, Cui W, Junginger M, J. Membr. Sci., 137(1-2), 173 (1997)
- Koval CA, Spontarelli T, J. Am. Chem. Soc., 110, 293 (1988)
- Koval CA, Spontarelli T, Noble RD, Ind. Eng. Chem. Res., 28, 1020 (1989)
- Kargari A, Kaghazchi T, Mardangahi B, Soleimani M, J. Membr. Sci., 279(1-2), 389 (2006)
- Kargari A, Kaghazchi T, Sohrabi M, Soleimani M, J. Membr. Sci., 233(1-2), 1 (2004)
- Eriksen OI, Aksnes E, Dahl IM, J. Membr. Sci., 85(1), 89 (1993)
- Meldon APJH, Rajangam G, AIChE Symp., 114 (1986)
- Smith DR, Quinn JA, AIChE J., 25, 197 (1979)
- Donaldson TL, Nguyen YN, Ind. Eng. Chem. Fundam., 19, 260 (1980)
- Davis RA, Sandall OC, AIChE J., 39, 1135 (1993)
- Langevin D, Pinoche M, Selegny E, Metayer M, Roux R, J. Membr. Sci., 82, 51 (1993)
- Matsuyama H, Teramoto M, Iwai K, J. Membr. Sci., 93(3), 237 (1994)
- Teramoto M, Huang QF, Watari T, Tokunaga Y, Nakatani R, Maeda T, Matsuyama H, J. Chem. Eng. Jpn., 30(2), 328 (1997)
- Gorji AH, Kaghazchi T, J. Membr. Sci., 325(1), 40 (2008)
- Myers C, Pennline H, Luebke D, Ilconich J, Dixon JK, Maginn EJ, Brennecke JF, J. Membr. Sci., 322(1), 28 (2008)
- Zhang Y, Wang Z, Wang SC, Desalination, 145(1-3), 385 (2002)
- Chen H, Kovvali AS, Majumdar S, Sirkar KK, Ind. Eng. Chem. Res., 38(9), 3489 (1999)
- Chen H, Obuskovic G, Majumdar S, Sirkar KK, J. Membr. Sci., 183(1), 75 (2001)
- Park SW, Heo NH, Kim GW, Sohn IJ, Sep. Sci. Technol., 35(15), 2497 (2000)
- Al-Marzouqi MH, Hogendoorn KJA, Versteeg GF, Chem. Eng. Sci., 57(22-23), 4817 (2002)
- Basaran OA, Burban PM, Auvil SR, Ind. Eng. Chem. Res., 28, 108 (1989)
- Dindi A, Noble RD, Koval CA, J. Membr. Sci., 65, 39 (1992)
- Jemaa N, Noble R, J. Membr. Sci., 70, 289 (1992)
- Kemena L, Noble R, Kemp N, J. Membr. Sci., 15, 259 (1983)
- Noble RD, Way JD, Powers LA, Ind. Eng. Chem. Fundam., 25, 450 (1986)
- Teramoto M, Ind. Eng. Chem. Res., 33(9), 2161 (1994)
- Ward W, AIChE J., 16, 405 (1970)
- Ciani S, Eisenman G, Szabo G, J. Membr. Biol., 1, 1 (1969)
- Widdas W, J. Physiol., 125, 163 (1954)
- Teramoto M, Ind. Eng. Chem. Res., 34(4), 1267 (1995)
- Danckwerts P, Chem. Eng. Sci., 34, 443 (1979)
- Teramoto M, Ind. Eng. Chem. Res., 33(9), 2161 (1994)
- Chaara M, Noble R, Sep. Sci. Technol., 24, 893 (1989)
- Ganesan S, Anitha S, Subbiah A, Rajendran L, J. Membr. Biol., 246, 435 (2013)
- Blanc C, Demarais G, Int. Chem. Eng., 24, 43 (1984)
- Versteeg GF, Van Dijck LAJ, Van Swaaij WPM, Chem. Eng. Commun., 144, 113 (1996)
- Ali SH, Sep. Purif. Technol., 38(3), 281 (2004)
- Kim YS, Yang SM, Sep. Purif. Technol., 21(1-2), 101 (2000)
- Wang R, Li DF, Liang DT, Chem. Eng. Process., 43(7), 849 (2004)
- Caplow M, J. Am. Chem. Soc., 90, 6795 (1968)
- Multiphysics in Version 4.4, COMSOL, Inc., Burlington, MA, USA, 2014.
- Hu XD, Tang JB, Blasig A, Shen YQ, Radosz M, J. Membr. Sci., 281(1-2), 130 (2006)
- Amooghin AE, Shehni PM, Ghadimi A, Sadrzadeh M, Mohammadi T, J. Ind. Eng. Chem., 19(3), 870 (2013)
- Bird RB, Stewart WE, Lightfoot EN, Transport Phenomena, John Wiley & Sons, 2007.
- Rezakazemi M, Niazi Z, Mirfendereski M, Shirazian S, Mohammadi T, Pak A, Chem. Eng. J., 168(3), 1217 (2011)
- Rezakazemi M, Shirazian S, Ashrafizadeh SN, Desalination, 285, 383 (2012)
- Sada E, Kumazawa H, Butt M, J. Chem. Eng. Data, 23, 161 (1978)
- Samanta A, Roy S, Bandyopadhyay SS, J. Chem. Eng. Data, 52(4), 1381 (2007)
- Glasscock DA, University of Texas at Austin (1990).
- Lee C, Wilke C, Ind. Eng. Chem., 46, 2381 (1954)
- Fuller EN, Schettler PD, Giddings JC, Ind. Eng. Chem., 58, 18 (1966)
- Treybal RE, Robert ET, Mass-Transfer Operations, McGraw-Hill, New York, 1968.
- Poling BE, Prausnitz JM, Paul OCJ, Reid RC, The Properties of Gases and Liquids, McGraw-Hill, New York, 2001.
- Buchwald P, Exploratory FEM-based Multiphysics Oxygen Transport and Cell Viability Models for Isolated Pancreatic Islets, Comsol, Inc., Boston, 2008.
- Clark WM, COMSOL Multiphysics Models for Teaching Chemical Engineering Fundamentals: Absorption Column Models and Illustration of the Two-Film Theory of Mass Transfer, 2008.
- Craig VSJ, Ninham BW, Pashley RM, Langmuir, 15(4), 1562 (1999)
- Lebowitz J, Clark W, Gas Permeation Laboratory Experiment Simulation for Improved Learning, 2006.
- Shehni PM, Amooghin AE, Ghadimi A, Sadrzadeh M, Mohammadi T, Sep. Purif. Technol., 76(3), 385 (2011)
- Comsol, AB COMSOL Multiphysics Chemical Engineering Module Model Library, version 4.4, COMSOL AB, 2007.
- Sadrzadeh M, Shahidi K, Mohammadi T, J. Membr. Sci., 342(1-2), 327 (2009)
- Noble R, Pellegrino J, Grosgogeat E, Sperry D, Way J, Sep. Sci. Technol., 23, 1595 (1988)
- Cussler E, AIChE J., 17, 1300 (1971)
- Deng LY, Kim TJ, Hagg MB, J. Membr. Sci., 340(1-2), 154 (2009)
- Matsuyama H, Teramoto M, Matsui K, Kitamura Y, J. Appl. Polym. Sci., 81(4), 936 (2001)
- MATLAB R2014a, The Mathworks Inc, Natick, MA, 2014.
- Hekmat A, Amooghin AE, Moraveji MK, Simul. Model. Pract. Theory, 18, 927 (2010)
- Zou J, Ho WSW, J. Membr. Sci., 286(1-2), 310 (2006)
- Gumı T, Oleinikova M, Palet C, Valiente M, Munoz M, Anal. Chim. Acta, 408, 65 (2000)
- Zhang CX, Wang Z, Cai Y, Yi CY, Yang DX, Yuan SJ, Chem. Eng. J., 225, 744 (2013)
- Omidkhah M, Pedram MZ, Amooghin AE, J. Membr. Sci. Technol., http://dx.doi.org/10.4172/2155-9589.1000119., 3, 119 (2013)
- Matsuyama H, Matsui K, Kitamura Y, Maki T, Teramoto M, Sep. Purif. Technol., 17(3), 235 (1999)
- Huang J, Zou J, Ho WSW, Ind. Eng. Chem. Res., 47(4), 1261 (2008)
- Schultz JS, Goddard JD, Suchdeo SR, AIChE J., 20, 417 (1974)
- Luis P, Van Gerven T, Van der Bruggen B, Prog. Energy Combust. Sci., 38(3), 419 (2012)
- Yegani R, Hirozawa H, Teramoto A, Himei H, Okada O, Takigawa T, Ohmura N, Matsumiya N, Matsuyama H, J. Membr. Sci., 291(1-2), 157 (2007)
- Pedram MZ, Omidkhah M, Amooghin AE, J. Ind. Eng. Chem., 20(1), 74 (2014)
- Merkel TC, Bondar VI, Nagai K, Freeman BD, Pinnau I, J. Polym. Sci. B: Polym. Phys., 38(3), 415 (2000)
- Raharjo RD, Freeman BD, Paul DR, Sarti GC, Sanders ES, J. Membr. Sci., 306(1-2), 75 (2007)
- Raharjo RD, Freeman BD, Sanders ES, J. Membr. Sci., 292(1-2), 45 (2007)
- Teramoto M, Takeuchi N, Maki T, Matsuyama H, Sep. Purif. Technol., 27(1), 25 (2002)
- Francisco GJ, Chakma A, Feng XS, Sep. Purif. Technol., 71(2), 205 (2010)
- Azhin M, Kaghazchi T, Rahmani M, Desalination, 250(1), 229 (2010)
- Loloei M, Omidkhah M, Moghadassi A, Amooghin AE, Int. J. Greenhouse Gas Control., 39, 225 (2015)