Abstract
Membrane contactor processes for stripping of sparingly soluble components such as oxygen are well understood. For readily soluble components in cross flow hollow fiber membrane modules, however, mass balances are less well established. In the present study, numerical and analytical solutions for cross flow modules are presented and compared with hitherto used solutions. Based on the comparison the best approximate solution is proposed.
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Abbreviations
- A:
-
he interfacial area of a hollow fiber module [m2]
- Ci :
-
concentration of component i [mol/m2]
- di :
-
inside diameter of hollow fiber bundle [m]
- do :
-
outside diameter of hollow fiber bundle [m]
- F1 :
-
defined by Eq. (14) [-]
- F1/2 :
-
defined by Eq. (17) [-]
- Hi :
-
partition coefficient of component i [-]
- Kil :
-
overall mass transfer coefficient of component i [m/s]
- KQ :
-
defined by KQ=KilA/Ql [-]
- L:
-
effective fiber length [m]
- Q:
-
flow rate [m3/s]
- R:
-
outside radius of hollow fiber bundle [m]
- R0 :
-
inside radius of hollow fiber bundle [m]
- RQ :
-
defined by RQ=-Ql/QgHi [-]
- T:
-
temperature [K]
- V1 :
-
liquid molar volume [m3mol-1]
- Ν r :
-
linear velocity of liquid in the radial direction [m/s]
- 0:
-
position in a membrane module at x=0
- L:
-
the position in a membrane module at x=L
- x:
-
denote that the variable depends on only x
- *:
-
interfacial state
- g:
-
gas phase in lumen side
- l :
-
liquid phase in shell side
References
Choi, S.-H., Gao, T. and Oh, S.-J., “A Study on the Absorption of Carbon Dioxide Using PVDF/Plasma Membrane Contactor,”Kor. Chem. Eng. Res.,43, 161 (2005).
CÔté, P., Bersillon, J.-L. and Huyard, A., “Bubble-free Aeration Using Membranes: Mass Transfer Analysis,”J. Membr. Sci.,47, 91 (1989).
Gabelman, A. and Hwang, S.-T., “Hollow Fiber Membrane Contactors,”J. Membr. Sci.,159, 61 (1999).
Ho, W. S.W. and Sirkar, K. K.,Membrane Handbook, van Nostrand Reinhold, New York (1992).
Jansen, A. E., Klaasen, R., Feron, P.H. M., Hanemaaijer, J.H. and Meulen, B. Ph.,Membrane Gas Absorption Processes in Environmental Applications, Membrane Process in Separation and Purification, Crespo, J.G. and Boddeker, K.W. eds., Kluwer Academic Publishers, Dordrecht (1994).
Qi, Z. and Cussler, E. L., “Hollow Fiber Gas Membranes,”AIChE 31, 1548 (1985).
Qi, Z. and Cussler, E. L., “Microporous Hollow Fibers for Gas Absorption I. Mass Transfer in the Liquid,”J. Membr. Sci.,23, 321 (1985).
Reed, B.W., Semmens, M. J. and Cussler, E. L.,Membrane Contactors, Membrane separations technology. Principles and Applications, Nobel, R. D. and Stern, S. A., eds., Elsevier Science, Amsterdam (1995).
Schöner, P., Plucinski, P., Nitsch, W. and Daiminger, U., “Mass Transfer in the Shell Side of Cross Flow Hollow Fiber Modules,”Chem. Eng. Sci.,53, 2319 (1998).
Semmens, M. J., Foster, D.M. and Cussler, E. L., “Ammonia Removal from Water Using Microporous Hollow Fibers,”J. Membr. Sci.,51 127 (1990).
Sengupta, A., Peterson, P. A., Miller, B.D., Schneider, J. and Fulk, C.W., “Large-scale Application of Membrane Contactors for Gas Transfer from or to Ultrapure Water,”Separation & Purification Tech.,14, 189 (1998).
Wang, K. L. and Cussler, E. L., “Baffled Membrane Modules Made with Hollow Fiber Fabric,”J. Membr. Sci.,85, 265 (1993).
Yagi, Y., Imaoka, Y., Kasama, Y. and Ohmi, T., “Advanced Ultrapure Water Systems with Low Dissolved Oxygen for Native Oxide Free Wafer Processing,”IEEE Trans. Semicond. Manufact.,2, 5 (1992).
Yang, M.-C. and Cussler, E. L., “Designing Hollow-fiber Contactors,”AIChE J.,32, 1910 (1986).
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Park, S.B., Lee, J.W., Kim, Y.S. et al. Numerical mass balances for cross flow membrane contactors and their approximations. Korean J. Chem. Eng. 22, 479–482 (2005). https://doi.org/10.1007/BF02719430
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DOI: https://doi.org/10.1007/BF02719430