Abstract
The effect of inert region on mass transfer has been studied numerically for the cathode package that is used to measure the local mass transfer rate to a solid surface in a flow system. The inert region introduces a considerable error in the limiting current method as the region increased.
The overall mean Sherwood number on the cathodic electrodes with the inert region was correlated as follows.Sh m = 13.96 Re0.339(1 + RT)0.444 when RT is the ratio of the inert region to the active region. If RT is less than 0.25, the error of theoretical value to Leveque solution is less than 12%.
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Abbreviations
- C:
-
Concentration
- Cb :
-
Concentration in Bulk
- CS :
-
Concentration at Surface
- D:
-
Diffusivity
- H:
-
Characteristic Length (= Channel Height)
- i:
-
Grid Number in X-Direction
- N:
-
Total Number of Grids in Y-Direction
- n:
-
Grid Number in Y-Direction
- Re:
-
Reynolds Number
- RT:
-
Ratio of Inert Area to Active Area
- Pe:
-
Peclet Number
- Sc:
-
Schmidt Number
- Sh:
-
Local Sherwood Number
- Shm :
-
Overall Mean Sherwood Number
- U:
-
Dimensionless Velocity in X-Direction
- Uave :
-
Mean Velocity of U
- δX :
-
Grid Size in X-Direction
- γ:
-
Ratio of Two Adjacent Grid Sizes in Y-Direction
- θ :
-
Dimensionless Concentration
- δ :
-
Concentration Boundary Layer Thickness
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Kim, W.S., Park, J.K. & Chang, H.N. Numerical study on the effect of inert region on mass transfer by the segmented electrodes in limiting current method. Korean J. Chem. Eng. 4, 67–72 (1987). https://doi.org/10.1007/BF02698101
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DOI: https://doi.org/10.1007/BF02698101