Stage extent of separation in ideal countercurrent recycle membrane cascades |
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| Affiliation: | 1. School of Materials Science and Engineering, Henan Engineering Research Center of Design and Recycle for Advanced Electrochemical Energy Storage Materials, Henan Normal University, Xinxiang, Henan 453007, PR China;2. Division of Chemistry and Biochemistry, Texas Woman’s University, Denton, TX 76204, USA;3. School of Energy and Power Engineering, Nanjing University of Science and Technology, Nanjing 210094, PR China;4. School of Chemical Engineering and Advanced Materials, The University of Adelaide, Adelaide, SA 5005, Australia;5. Department of Chemistry, Sungkyunkwan University (SKKU), Jangan-Gu, Suwon 16419, Republic of Korea;6. Department of Materials Physics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences (SIMTS), Thandalam, Chennai 602105, Tamilnadu, India;1. Chemistry Department, Faculty of Science, Port Said University, Port Said, 42511, Egypt;2. Chemistry Department, Faculty of Science, Suez University, Suez, 43518, Egypt;3. Chemistry Department, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt;4. Chemistry Department, Faculty of Science, Damietta University, Damietta, 34517, Egypt;1. Anhui Province Engineering Laboratory of Advanced Building Materials, Anhui Jianzhu University, Hefei 230022, China;2. Shanxi Fuping Eco-cement CO., LTD, Weinan 711709, China;3. School of Materials Science and Engineering, Southeast University, Nanjing 211189, China |
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| Abstract: | Rony's extent of separation ξ is useful to characterize the quality of separation of a binary feed that occurs in membrane stages, membrane modules and cascades. The stage extent of separation, ξi, has a maximum value for a specified stage separation factor, αi. The ideal cascade design requires a minimum total interstage flow compressor duty, and membrane area to make a specified overall separation. It is shown that ξi has the maximum value at each stage in an ideal membrane cascade composed of ideal perfect-mix stages. This is also true in a “properly designed” no-mix cascade composed of crossflow stages. This suggests that ξ is a basic separation index. |
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