薄膜萃取技術的原理乃是應用薄膜兩側溶質的濃度差為驅動力促使溶質通過薄膜，並選擇適當孔徑之薄膜以分離特定的溶質，達到分離純化之效果。目前已大量應用於酸類萃取與重金屬等分離純化程序。但由於傳統的分析方法只用簡化之數學模型，因此通常需要搭配實驗，才能準確的估算薄膜萃取器之萃取效率，可是由於萃取劑的價格而貴，因此需要花費不少金錢，因此建立一個不需要以實驗數據為輔助的數學模型，顯得更為重要。 本研究主要是討論薄膜萃取系統之解析解研究，可分為理論分析與實驗兩大部分。在理論分析部分包含具反應與不具反應之二維質傳理論，並針對平板型、套管型與中空纖維型三種不同薄膜透萃取器作解析，求出在不同操作之條件下，流體於管道中的溶質於萃取相和萃餘相的濃度分佈，並探討不同設計與操作參數對於質傳效率改善的影響。此外，實驗部分包括平板型與中空纖維型兩系統，其中平板實驗是利用甲基異丁酮萃取醋酸與二(2乙基己基)磷酸萃取銅離子，中空纖維實驗是利用己烷/丁烷共溶劑萃取大豆異黃酮與二(2乙基己基)磷酸萃取銅離子，其實驗結果乃用於印證理論分析之準確性。故本研究的貢獻在於(1)建立二維座標系統的薄膜萃取理論分析模型與(2)獲得溶質於萃取相和萃餘相在薄膜萃取器的濃度分佈。 The effects of design and operation parameters on solute mass transfer in three membrane extraction systems, say flat-plate module, tubular module and hollow fiber module, under the concurrent- and countercurrent-flow are investigated theoretically and experimentally. The analytical solution of the two dimensional model is obtained using the separation variable and eigenfunction expansion in terms of power series. The theoretical predictions were represented graphically with the mass-transfer Graetz number (volumetric flow rate), flow pattern, subchannel thickness ratio (permeable-barrier locations) and packing density as parameters and compared with those obtained by numerical approximation and experimental runs. The solute concentration profile, average outlet concentration and mass-transfer efficiency enhancement of the membrane extraction system are also discussed. The experiments in flat-plate module and hollow fiber module are performed to confirm the accuracy of the theoretical results, and the mathematical model derived in the present study was applied to soybean isoflavances to predict the separation efficiency. A RP-HPLC (reversedphase high-performance liquid chromatography) system coupled with an UV detector were utilized to quantify five isoflavances in the extracts. The effect on the amount of five isoflavances of the operation parameters in the cosolvent extraction systems under the hollow fiber modules is also delineated.
