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

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13.6. CROSS-FLOW MODEL FOR GAS SEPARATION BY MEMBRANES

13.6A. Derivation of Basic Equations

A detailed flow diagram for the cross-flow model derived by Weller and Steiner (W3, W4) is shown in Fig. 13.6-1. In this case the longitudinal velocity of the high-pressure or reject stream is large enough that this gas stream is in plug flow and flows parallel to the membrane. On the low-pressure side the permeate stream is almost pulled into vacuum, so that the flow is essentially perpendicular to the membrane.

Figure 13.6-1. Process flow diagram for cross-flow model.

This model assumes no mixing in the permeate side as well as no mixing on the high

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