Electroconvection in a layer and in a loop
- 1 June 1995
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 7 (6), 1467-1482
- https://doi.org/10.1063/1.868533
Abstract
This paper concerns electroconvectional stability of a conduction state in an electrolyte layer flanked by cation‐permselective walls (electrodialysis membranes, electrodes) under constant current conditions. It is shown through a numerical finite difference solution of the linear stability problem that above a certain current threshold the basic conduction state becomes electroconvectionally unstable. Marginal stability curves in the current/wave number plane are calculated and the dependence of the critical threshold characteristics on the system’s parameters (ionic diffusivities ratio, electroconvectional Péclet number) studied. Electroconvectional instability is shown to occur for an arbitrary ionic diffusivities ratio. A one‐dimensional model of electroconvection in a loop is developed and the respective problem solved explicitly for a steady state. It is shown that above a certain current threshold, the quiescent conduction in the loop bifurcates into a pair of electroconvectional steady‐state circulations.Keywords
This publication has 18 references indexed in Scilit:
- Mechanism of a morphology transition in ramified electrochemical growthNature, 1994
- Formation of a mesh-like electrodeposit induced by electroconvectionNature, 1994
- Coupling of drift, diffusion, and electroconvection, in the vicinity of growing electrodepositsPhysical Review E, 1993
- Ion transfer across electrodialysis membranes in the overlimiting current range: stationary voltage current characteristics and current noise power spectra under different conditions of free convectionJournal of Membrane Science, 1992
- Theory and experimental evidence of electroconvection around electrochemical depositsPhysical Review Letters, 1992
- Electroconvection at an electrically inhomogeneous permselective interfacePhysics of Fluids A: Fluid Dynamics, 1991
- Electrokinetic phenomena of the second kind and their applicationsAdvances in Colloid and Interface Science, 1991
- Electroconvection at an electrically inhomogeneous permselective membrane surfaceJournal of the Chemical Society, Faraday Transactions, 1991
- Theory of electrohydrodynamic instabilities in electrolytic cellsThe Journal of Chemical Physics, 1990
- Voltage against current curves of cation exchange membranesJournal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 1979