Multiple equilibria in a simple elastocapillary system

DOI10.1017/jfm.2012.418zbMath1275.76070OpenAlexW2011832145WikidataQ63848881 ScholiaQ63848881MaRDI QIDQ2863485

Michele Taroni, Dominic Vella

Publication date: 21 November 2013

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:4a313aa2-851f-4aff-844d-985ff620d0c7

zbMATH Keywords

lubrication theoryMEMS/NEMScapillary flows

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (13)

Stability and Folds in an Elastocapillary System ⋮ Justification of a nonlinear sixth-order thin-film equation as the reduced model for a fluid–structure interaction problem ⋮ Catenoid Stability with a Free Contact Line ⋮ The interaction between viscous fingering and wrinkling in elastic-walled Hele-Shaw cells ⋮ Investigation of the imbibition/drainage of two immiscible fluids in capillaries with arbitrary axisymmetric cross-sections: a generalized model ⋮ Relaxation dynamics of capillary folding of thin elastic sheets with pinned contact lines ⋮ Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems ⋮ A review on rigorous derivation of reduced models for fluid-structure interaction systems ⋮ Three-dimensional dynamic simulation of elastocapillarity ⋮ Elasto-capillary coalescence of multiple parallel sheets ⋮ Evaporation effects in elastocapillary aggregation ⋮ Modelling moving contact lines on inextensible elastic sheets in two dimensions ⋮ Bendocapillary instability of liquid in a flexible-walled channel

Uses Software

• PMAD

Cites Work

• Remarks on formulating an adhesion problem using Euler's elastica (draft)
• Dynamics of elastocapillary rise
• A theoretical study of two-phase flow through a narrow gap with a moving contact line: viscous fingering in a Hele-Shaw cell
• Accurate numerical derivatives in MATLAB
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• Rupture of a Surfactant-Covered Thin Liquid Film on a Flexible Wall
• On the stability of liquid ridges
• B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>

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