Modified Kedem–Katchalsky equations for osmosis through nano-pore
Kedem–Katchalsky (K–K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse osmosis for desalination. However, some experiments have shown that it is not able to accurately describe the osmosis through nano-pores. The mos...
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Published in | Desalination Vol. 399; pp. 47 - 52 |
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Main Authors | , , , , , , |
Format | Journal Article |
Language | English |
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Elsevier B.V
01.12.2016
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Abstract | Kedem–Katchalsky (K–K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse osmosis for desalination. However, some experiments have shown that it is not able to accurately describe the osmosis through nano-pores. The most significant problem is that the two reflection coefficients in two of the K–K equations are not equal to one another. In this work, three new parameters, osmotic pressure coefficient, primary filtration coefficient and secondary selectivity rate, were introduced to replace the reflection coefficient in the K–K equations. Using an analytical method based on molecular dynamics, the quantitative relationship between osmotic pressure coefficient and the molecule size was obtained. This quantitative relationship was verified by comparing the theoretical results with the reported experimental data of aquaporin osmosis. The theoretical predictions agreed well with experimental results, showing high accuracy of this model. This work is expected to pave the way for a better understanding of osmosis in bio-systems and to inspire new ideas in designing new membranes with better performance.
•Modified Kedem–Katchalsky equations for osmosis through nano-pore are proposed.•Osmotic pressure coefficient of a solute was found to be chiefly affected by the entrance of the pore.•The passing rate of a solute can be affected by both the entrance and the selectivity filter in the pore. |
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AbstractList | Kedem-Katchalsky (K-K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse osmosis for desalination. However, some experiments have shown that it is not able to accurately describe the osmosis through nano-pores. The most significant problem is that the two reflection coefficients in two of the K-K equations are not equal to one another. In this work, three new parameters, osmotic pressure coefficient, primary filtration coefficient and secondary selectivity rate, were introduced to replace the reflection coefficient in the K-K equations. Using an analytical method based on molecular dynamics, the quantitative relationship between osmotic pressure coefficient and the molecule size was obtained. This quantitative relationship was verified by comparing the theoretical results with the reported experimental data of aquaporin osmosis. The theoretical predictions agreed well with experimental results, showing high accuracy of this model. This work is expected to pave the way for a better understanding of osmosis in bio-systems and to inspire new ideas in designing new membranes with better performance. Kedem–Katchalsky (K–K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse osmosis for desalination. However, some experiments have shown that it is not able to accurately describe the osmosis through nano-pores. The most significant problem is that the two reflection coefficients in two of the K–K equations are not equal to one another. In this work, three new parameters, osmotic pressure coefficient, primary filtration coefficient and secondary selectivity rate, were introduced to replace the reflection coefficient in the K–K equations. Using an analytical method based on molecular dynamics, the quantitative relationship between osmotic pressure coefficient and the molecule size was obtained. This quantitative relationship was verified by comparing the theoretical results with the reported experimental data of aquaporin osmosis. The theoretical predictions agreed well with experimental results, showing high accuracy of this model. This work is expected to pave the way for a better understanding of osmosis in bio-systems and to inspire new ideas in designing new membranes with better performance. •Modified Kedem–Katchalsky equations for osmosis through nano-pore are proposed.•Osmotic pressure coefficient of a solute was found to be chiefly affected by the entrance of the pore.•The passing rate of a solute can be affected by both the entrance and the selectivity filter in the pore. |
Author | Huang, Suyi Shu, Liangsuo Jin, Shiping Liu, Xiaokang Yang, Baoxue Lin, Yixin Li, Yingjie |
Author_xml | – sequence: 1 givenname: Liangsuo surname: Shu fullname: Shu, Liangsuo organization: School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China – sequence: 2 givenname: Xiaokang surname: Liu fullname: Liu, Xiaokang organization: School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China – sequence: 3 givenname: Yingjie surname: Li fullname: Li, Yingjie organization: State Key Laboratory of Natural and Biomimetic Drugs, Department of Pharmacology, School of Basic Medical Sciences, Peking University, Beijing, China – sequence: 4 givenname: Baoxue surname: Yang fullname: Yang, Baoxue organization: State Key Laboratory of Natural and Biomimetic Drugs, Department of Pharmacology, School of Basic Medical Sciences, Peking University, Beijing, China – sequence: 5 givenname: Suyi surname: Huang fullname: Huang, Suyi organization: School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China – sequence: 6 givenname: Yixin surname: Lin fullname: Lin, Yixin organization: School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China – sequence: 7 givenname: Shiping surname: Jin fullname: Jin, Shiping email: jinshiping@hust.edu.cn organization: School of Energy and Power Engineering, Huazhong University of Science & Technology, Wuhan, China |
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Keywords | Primary filtration coefficient Osmotic pressure coefficient Reflection coefficient Secondary selectivity rate K–K equations Aquaporin |
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Snippet | Kedem–Katchalsky (K–K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse... Kedem-Katchalsky (K-K) equations provide an important model in analyzing the osmosis in both biological systems and membrane technology, including reverse... |
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SubjectTerms | Aquaporin Coefficients Desalination K–K equations Mathematical analysis Mathematical models Membranes Nanostructure Osmosis Osmotic pressure coefficient Primary filtration coefficient Reflection coefficient Secondary selectivity rate |
Title | Modified Kedem–Katchalsky equations for osmosis through nano-pore |
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