Electric field induced instabilities in thin confined bilayers

Bandyopadhyay, Dipankar; Sharma, Ashutosh

doi:10.1016/j.jcis.2007.02.089

Cited by 31 publications

(22 citation statements)

References 44 publications

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“…Since in the linear stability analysis we are looking at only the onset of instability, which occurs at a gap distance of few nanometers in the case of VDW interactions and even higher values (up to the micron range) in the case of a long-ranged electric field, this term is neglected. The range of the film thicknesses of importance considered in the experiments as well as in the simulation studies are generally of the order of few microns [11][12][13][14][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Hence, any destabilizing interactions of the film surface with the substrate are of little consequence and do not contribute to the interaction energy.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…More recently, instability of an elastic bilayer was analyzed to explore if surface length scales smaller than 3 Ã h can be achieved, as miniaturization of instability patterns by this self-organization route can be a potential technique for micro-patterning of soft functional films. PDMS-metal bilayers were still found to give a wavelength $3 Ã h [33], whereas viscous-viscous [34], visco-elastic [35] and elasticelastic bilayers [36,37] showed lower length scales, with the smallest being $0.5 Ã h for the elastic bilayers.…”

Section: Introductionmentioning

confidence: 95%

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Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Sarkar

Annepu

Sharma

2011

The Journal of Adhesion

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A linear stability analysis is presented for the contact instability of a soft thin elastic film which is rigidly bonded to a physically patterned substrate, and is in adhesive contact with a smooth rigid contactor. Increasing roughness by enhancing the substrate-amplitude produces increasingly smaller instability length-scales. The smallest wavelengths obtainable are 0.3 Ã h, an order of magnitude smaller than that observed with films on flat substrates (3 Ã h). Instability length-scales are found to be largely independent of substrate length-scales. For van der Waals interaction, increase in substrate roughness increases the energy penalty and, consequently, requires smaller gap distances (< 1nm for stiff films) to engender instabilities. When an externally controllable long-range electric field is employed instead, instabilities can be initiated at very low critical voltages ($32 V) even in relatively stiff films, making it a more suitable route to produce miniaturized instability patterns.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Sarkar

Annepu

Sharma

2011

The Journal of Adhesion

Self Cite

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“…In planar geometries extensive investigations have been carried out both in linear [12] and 39 nonlinear [13][14][15][16] regimes. This has included work on the full leaky dielectric formulation [17,18] 40 as well as the simpler situations where both regions have large conductivities [19], or indeed where 41 one region is a perfect conductor [20].…”

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confidence: 99%

Accurate low-order modeling of electrified falling films at moderate Reynolds number

2017

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“…In recent years, electrokinetic flows of multiphase systems, containing liquid-liquid or liquid-air interfaces subjected to uniform and non-uniform electric fields, have gained huge importance (Brask, Kutter & Bruus 2005;Thaokar & Kumaran 2005;Verma et al 2005;Ozen et al 2006;Tseluiko & Papageorgiou 2006;Voicu, Harkema & Steiner 2006;Bandyopadhyay & Sharma 2007;Tomar et al 2007;Uguz & Aubry 2008;Li, Yin & Yin 2009a;Gambhire & Thaokar 2010;Thaokar & Deshmukh 2010;Choi et al 2011;Esmaeeli & Reddy 2011;Zhang, Zahn & Lin 2011;Veremieiev et al 2012;Gambhire & Thaokar 2014) due to their wide range of applications. One of the primary focuses is electro-osmotic pumping of superimposed fluids, first demonstrated experimentally by Brask et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

et al. 2015

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In the present study, we attempt to analyse the electro-osmotic flow of two superimposed fluids through narrow confinements in the presence of axially modulated surface charges. We attempt to solve for the flow structure as well as the interface deformation by both analytical and numerical techniques. Approximate analytical solutions are obtained through asymptotic analysis for low deformations, whereas numerical solutions are obtained by applying the phase field formalism; the numerical solutions are obtained for small as well as large interfacial deformations. The analytical solutions are derived only for the transient deformation of the interface, neglecting the transience in the flow, i.e. the flow is assumed to be quasisteady. The numerical solutions, however, are derived including the effects of inertia and transients in the flow. We attempt to compare our analytical and numerical results and explore the effects of several physico-chemical parameters on the deformation of the interface as well as the nature of the flow. Our analysis reveals that parameters such as the modulation wavelength, surface tension (described through the capillary number), viscosity ratio, permittivity ratio and extent of asymmetry in the potential on the two walls are the major contributors to the deformation and the resulting flow features.

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Electric field induced instabilities in thin confined bilayers

Cited by 31 publications

References 44 publications

Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Contact Instability of a Soft Elastic Film Bonded to a Patterned Substrate

Accurate low-order modeling of electrified falling films at moderate Reynolds number

Electro-osmosis of superimposed fluids in the presence of modulated charged surfaces in narrow confinements

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