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Thermodiffusion in Electrolyte Between Electric Membranes Under External Electric Field

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Abstract

Thermodiffusion of a binary electrolyte situated in the microgap between two ion-selective surfaces under external electric field is theoretically studied. It is assumed that temperature gradient occurs only by Joule heating of the electrolyte; and the concentration gradient may trigger an inner gravitational instability. There are three types of instability in such setup: electrokinetic, thermoelectrokinetic and internal gravitational instability. The direct numerical simulation of the problem shows that for the typical salts solutions such as NaCl or KCl the termodiffusion effect is negligible, while for some salts with bigger values of the reduced Soret coefficients of ions (for example, for tetra-n-butylammonium fluoride) the thermodiffusion may significantly affect the voltage-current characteristic. It is also obtained, that the negative thermodiffusion leads to the destabilization of the one-dimensional steady state regime and shifts the critical values of governing parameters for each aforementioned type of instability. The thermodiffusion mostly influences the classical electrokinetic instability and less — the internal gravitational instability. Under effect of both types of thermodiffusion (normal and negative), the thermoelectrokinetic instability manifests at smaller values of Rayleigh numbers.

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Acknowledgments

This research was supported in part by the Russian Foundation for Basic Research (RFBR), Project No. 18-38-00611 mol_a and by RFBR along with administration of Krasnodar Territory, Project No. 19-48-235001. The authors greatly appreciate the enthusiastic help of Vladimir Kozlov, Dmitriy Art’ukhov, Timofey Khoruzhiy and Alexander Altukhov in our numerical calculations. Some of the numerical calculations was carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Kuban State University, Krasnodar, 350040, Russian Federation

    Nataly Ganchenko

  2. Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, 344006, Russian Federation

    Maria Repina

  3. Laboratory of Micro- and Nanoscale Electro- and Hydrodynamics, Financial University under the Government of Russian Federation, Krasnodar, 350051, Russian Federation

    Georgy Ganchenko

  4. Laboratory of General Aeromechanics, Institute of Mechanics, Moscow State University, Moscow, 119192, Russian Federation

    Georgy Ganchenko & Evgeny Demekhin

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  1. Nataly Ganchenko
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Ganchenko, N., Repina, M., Ganchenko, G. et al. Thermodiffusion in Electrolyte Between Electric Membranes Under External Electric Field. Microgravity Sci. Technol. 32, 1199–1210 (2020). https://doi.org/10.1007/s12217-020-09842-8

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