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Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition by Christie John Geankoplis

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13.8. DERIVATION OF FINITE-DIFFERENCE NUMERICAL METHOD FOR ASYMMETRIC MEMBRANES

13.8A. Countercurrent Flow

The flow diagram for the numerical method is shown in Fig. 13.8-1. Using the method derived by McCabe et al. (M5) and taking an area ΔAm, the mass balances on both streams can be written as

Equation 13.8-1

Figure 13.8-1. Flow diagram for countercurrent flow with asymmetric membrane using finite difference method.

The value of can be calculated from Eq. (13.7-27) using xin for x and for y'. Also, can be calculated ...

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