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Interfacial Phenomena and Heat Transfer
ESCI SJR: 0.258 SNIP: 0.574 CiteScore™: 0.8

ISSN Imprimir: 2169-2785
ISSN En Línea: 2167-857X

Interfacial Phenomena and Heat Transfer

DOI: 10.1615/InterfacPhenomHeatTransfer.2018029172
pages 169-178

FLOQUET ANALYSIS FOR STABILITY OF ELECTROLYTE FILMS ON SUBSTRATES WITH STRONGLY NONUNIFORM CHARGE DENSITY

Mahnprit S. Jutley
Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA
Vladimir S. Ajaev
Kutateladze Institute of Thermophysics SB RAS, 1, Lavrentiev Ave, Novosibirsk, 630090, Russia; Department of Mathematics, Southern Methodist University, Dallas TX 75275, USA

SINOPSIS

We consider steady-state shapes and stability of a liquid electrolyte film on a substrate that is patterned or structured, resulting in a spatially periodic variation of the charge density. The electrical field in the liquid is described using the Debye-Hückel approximation to the classical Poisson-Boltzmann equation. Thin-film approximation is used to model liquid flow arising as a result of the interfacial instability. Steady-state shapes are found numerically for a range of conditions and shown to agree with the asymptotic results for the weak substrate charge nonuniformity. Floquet analysis is used to investigate the stability of the spatially periodic steady-state solutions. Linear stability criteria are found for a range of conditions. Depending on the wavelength of the substrate patterning, the effect can be either stabilizing or destabilizing, with the latter typically observed for smaller pattern wavelengths.


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