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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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17.4.3 Mass-Transfer Analysis to Determine Concentration Polarization

Once values for a′ are known, experiments can be done under conditions where concentration polarization is expected. M can be determined by solving Eq. (17-19) for M.

Image

(17-30)

All terms on the right-hand side are known and M can be calculated. However, estimation of M will allow us to avoid doing expensive and time consuming experiments, and is illustrated in Example 17-6.

Concentration polarization was shown schematically in Figure 17-9. This figure applies to the simplest situation that is steady-state, one-dimensional back diffusion of one solute into the bulk retentate stream ...

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