Streaming potential and surface charge density of microporous membranes with pore diameter in the range of thickness |
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| Affiliation: | 1. Research and Development Centre, Bharathiar University, Coimbatore 641046, India;2. Department of Chemistry, St. Joseph''s College of Engineering, Chennai 600119, India;3. Department of Chemistry, Dr. Ambedkar Govt. Arts College, Chennai 600039, India;1. Department of Mechanics, Tianjin University, Tianjin 300072, China;2. Research School of Engineering, Australian National University, Canberra, ACT 0200, Australia;1. Department of Physics of Polymers and Crystals, Faculty of Physics, M.V. Lomonosov Moscow State University, Leninskiye Gory 1, 119991 Moscow, Russia;2. A.N. Nesmeyanov Institute of Organoelement Compounds of Russian Academy of Sciences, INEOS, Vavilova Street 28, 119991 Moscow, Russia;1. Department of Extreme Thermal Systems, Korea Institute of Machinery and Materials, Daejeon 305-343, Republic of Korea;2. Environment & Energy Mechanical Engineering, University of Science & Technology, Daejeon 305-350, Republic of Korea |
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| Abstract: | A system formed by two phases bathing a microporous membrane is studied considering its behavior as a dynamic system. So, the natural frequencies for each used membrane is determined and then, applying a flow ramp with a rate sufficiently small, the streaming potential can be obtained from the slope of the pressure values versus electrical potential.The determination of the electric potential inside the pores, φ, requires to solve the Poisson–Böltzmann equation in the case of membranes with pore diameter in the range of thickness, for which the radial components of velocity of the fluid must be considered. Since there is no analytical solution, a numerical method was used to obtain φ. The electrical potential value at a distance equal to hydrodynamic radius from pore axis (zeta potential) is used to evaluate the streaming potential by the Helmholtz–Smoluchowsky relation. These values were compared with the experimental data accomplishing the suitable iterations over the surface charge density until coincidence.The values of the surface charge density for the studied membranes show a concentration dependence described by Langmuir’s model for the greatest pore diameters and Freundlich’s model for the smallest pore diameters. |
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