DOI: 10.1063/1.868873. Potentiostatic electroconvection in a layer and in a loop

Potentiostatic electroconvection in a layer and in a loop

10.1063/1.868873

Crossref journal-article

AIP Publishing

Physics of Fluids (317)

Abstract

This paper concerns electroconvectional stability of a conduction state in an electrolyte layer flanked by cation-permselective walls (electrodialysis membranes, electrodes) under potentiostatic conditions. It is shown through a numerical finite difference solution of the linear stability problem that above a certain voltage threshold the basic conduction state becomes electroconvectionally unstable. Marginal stability curves in the voltage/wave number plane are calculated and the dependence of the critical threshold characteristics on the system’s parameters (ionic diffusivities ratio, electroconventional Péclet number) studied. Electroconvectional instability is shown to occur for an arbitrary ionic diffusivities ratio. A model problem of electroconvection in a loop under potentiostatic conditions is solved explicitly for a steady state. It is shown that above a certain voltage threshold, the quiescent conduction in the loop bifurcates into a pair of electroconvectional steady state circulations.

Bibliography

Zaltzman, T. (1996). Potentiostatic electroconvection in a layer and in a loop. Physics of Fluids, 8(4), 936â943.

Authors 1

T. Zaltzman (first)

References 12 Referenced 8

10.1063/1.857869 / Phys. Fluids A / Electroconvection at an electrically inhomogeneous permselective interface (1991)
10.1039/ft9918702079 / J. Chem. Soc. Faraday Trans. I / Electroconvection at an electrically inhomogeneous permselective membrane surface (1991)
10.1063/1.868533 / Phys. Fluids / Electroconvection in a layer and in a loop (1995)
10.1063/1.457905 / J. Chem. Phys. / Theory of electrohydrodynamic cells (1990)
{'key': '2024020619592317900_r5', 'first-page': '52', 'article-title': 'Coulomb convective instability of a binary electrolyte in a cell with plain-parallel electrodes', 'volume': '21', 'year': '1985', 'journal-title': 'Elektrokhimia'} / Elektrokhimia / Coulomb convective instability of a binary electrolyte in a cell with plain-parallel electrodes (1985)
{'key': '2024020619592317900_r6', 'first-page': '307', 'article-title': 'Coulomb convection in electro-convection systems', 'volume': '28', 'year': '1992', 'journal-title': 'Elektrokhimia'} / Elektrokhimia / Coulomb convection in electro-convection systems (1992)
10.1016/0376-7388(92)85010-G / Membrane Sci. / Ion transfer across electrodiffusional membranes in the overlimiting current range: stationary voltage current characteristics and current noise power spectra under different conditions of free convection, I (1992)
{'key': '2024020619592317900_r8'}
{'key': '2024020619592317900_r9'}
{'key': '2024020619592317900_r10'}
10.1017/S0022112066001423 / J. Fluid Mech. / Periodic oscillations in a model of thermal convection (1966)
{'key': '2024020619592317900_r12'}

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:10 a.m.)
Deposited	1 year, 6 months ago (Feb. 6, 2024, 6:54 p.m.)
Indexed	2 weeks ago (Aug. 7, 2025, 4:46 p.m.)
Issued	29 years, 4 months ago (April 1, 1996)
Published	29 years, 4 months ago (April 1, 1996)
Published Print	29 years, 4 months ago (April 1, 1996)

Funders 0

None

BibTeX

@article{Zaltzman_1996, title={Potentiostatic electroconvection in a layer and in a loop}, volume={8}, ISSN={1089-7666}, url={http://dx.doi.org/10.1063/1.868873}, DOI={10.1063/1.868873}, number={4}, journal={Physics of Fluids}, publisher={AIP Publishing}, author={Zaltzman, T.}, year={1996}, month=apr, pages={936–943} }

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