Abstract
The mass transport in electrokinetically actuated microchannel flow is interesting when the wall reactions influence the wall potential, thereby affecting the hydrodynamics. This is the first work where the electro-osmotic flow is impacted by the chemical reactions. Since the wall potential is non-uniform, we have compared the results of the classical Poisson–Boltzmann equations with the generalized Poisson–Nernst–Planck model and investigated the applicability within the range of the operating conditions of the problem. The results provide fundamental understanding of the velocity profile within the channel and the wall concentration, which is significantly different from the classical species transport. The wall concentration is dependent on the electrokinetic parameters rather than the Reynolds and Peclet number solely. For constant volumetric flow rate, the resultant electro-osmotic velocity profile is not parabolic and exhibits higher convection close to the wall, leading to reduced solute polarization. The overall mass transport rate can be enhanced by more than two times with respect to non-electrical phenomena. The results will be useful in understanding the physics and provide operational know-how of electrokinetic-based applications related to capillary electrophoresis, electrochromatrogaphy and (bio-)chemical sensing.
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Acknowledgements
One of the authors (Sourav Mondal) would like to acknowledge the student members of the ECMI Modelling Week 2017, organized by Lappeenranta University of Technology, Finland—Wajid Ali (University of Koblenz), Ana Galhoz (Technical University of Lisbon), Fedor Garbuzov (Peter the Great St. Petersburg Polytechnic University), Gaston Holmen (Lund University), Victoria Pereira (University of Oxford) and Gulzhan Zhassulanbaikyzy (University of Grenoble Alpes) who has worked a part of this problem during the modelling week. Sourav Mondal would like to acknowledge the graduate students of the InFoMM CDT of the Mathematical Institute, Oxford University—Federico Danieli, Alissa Kamilova, Raquel Gonzalez, Kristian Kiradjiev, Clint Wong and Attila Kovacs, for working on this topic as a case study problem. Sourav Mondal would also like to acknowledge Yilu Wang of Oxford University, for working on this problem during the summer break.
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Communicated by Oleg Zikanov.
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Mondal, S., De, S. Mass transport in electrokinetic microflows with the wall reaction affecting the hydrodynamics. Theor. Comput. Fluid Dyn. 35, 39–60 (2021). https://doi.org/10.1007/s00162-020-00549-5
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DOI: https://doi.org/10.1007/s00162-020-00549-5