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
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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