We propose two optimization models for designing two liquid extraction systems: simple multistage liquid extractors and extractors with extract reflux. Both models are motivated by the concepts of the modified McCabe-Thiele graphical method for multistage extractor design. The operating and equilibrium curves in the McCabe-Thiele method are represented by material balances and piece-wise linearized thermodynamics properties. The use of piece-wise approximations improves computational tractability of both optimization models. In addition, we consider some extensions such as dilute systems, insoluble solvents, and non-ideal stages. The applicability of the proposed models is demonstrated with four illustrative examples.

我们提出了两个用于设计两个液体萃取系统的优化模型：简单的多级液体萃取器和具有萃取物回流的萃取器。两种模型都受到改进的McCabe-Thiele图形方法用于多级提取器设计的概念的启发。McCabe-Thiele方法中的工作曲线和平衡曲线由材料平衡和分段线性化的热力学性质表示。分段逼近的使用提高了两个优化模型的计算可处理性。此外，我们考虑了一些扩展，例如稀体系，不溶性溶剂和非理想阶段。所提出的模型的适用性通过四个示例性例子得到了证明。