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

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15.7.3 Determining the Independent Fluxes Ni,z

Since the control volume in Figure 15-8 was set to move at the average molar velocity vz,ref,mol, the sum of Ji,z is equal to zero for any system. Thus, for a binary system, only one Ji,z is independent. However, there are two independent fluxes Ni,z. In order to use the Stefan-Maxwell formulation in practical problems, we need another relationship (called a bootstrap equation) that allows us to determine the additional independent flux Ni,z In other words, we need to tie the moving Ji,z to the stationary Ni,z . The form of this additional equation depends on the situation. In general, Ni,z = Civi = Cmyivi, and if one of the vi is known, we can calculate the required unknown flux Ni,z.

Situation ...

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