13.4 Immiscible Single-Stage and Cross-Flow Extraction

Although countercurrent cascades are the most common, other cascades can be employed. One type occasionally used is the cross-flow cascade shown in Figure 13-8. Each stage is assumed to be an equilibrium stage. In this cascade, fresh extract streams are added to each stage and extract products are removed. For single-solute systems the same five assumptions made for countercurrent cascades are required for the McCabe-Thiele analysis. For dilute multicomponent systems, assumption 6 is again required.

Figure 13-8. Cross-flow cascade

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To derive an operating equation, we use a mass balance envelope ...

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