Elastic deformations driven by non-uniform lubrication flows

DOI10.1017/jfm.2016.830zbMath1383.76128arXiv1607.02451OpenAlexW3102890700MaRDI QIDQ5364463

Amir D. Gat, Moran Bercovici, Shimon Rubin, Arie Tulchinsky

Publication date: 28 September 2017

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

Full work available at URL: https://arxiv.org/abs/1607.02451

zbMATH Keywords

fluid-structure interactionsHele-Shaw flowsmicrofluidics

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Lubrication theory (76D08) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (11)

The influence of a poroelastic till on rapid subglacial flooding and cavity formation ⋮ Electroosmotic flow of a rheological fluid in non-uniform micro-vessels ⋮ Dynamics of fixed-volume pinned films – dealing with a non-self-adjoint thin-film problem ⋮ Elastohydrodynamics of a pre-stretched finite elastic sheet lubricated by a thin viscous film with application to microfluidic soft actuators ⋮ Hydrodynamic dispersion in Hele-Shaw flows with inhomogeneous wall boundary conditions ⋮ Theory of the flow-induced deformation of shallow compliant microchannels with thick walls ⋮ Flow of power-law liquids in a Hele-Shaw cell driven by non-uniform electro-osmotic slip in the case of strong depletion ⋮ Fluctuation assisted spreading of a fluid filled elastic blister ⋮ Generalization of elastohydrodynamic interactions between a rigid sphere and a nearby soft wall ⋮ Mesoscale modelling of near-contact interactions for complex flowing interfaces ⋮ Underactuated fluidic control of a continuous multistable membrane

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Displacement flows under elastic membranes. Part 1. Experiments and direct numerical simulations
• Displacement flows under elastic membranes. Part 2. Analysis of interfacial effects
• Surprising consequences of ion conservation in electro-osmosis over a surface charge discontinuity
• Electro-osmotic flow near a surface charge discontinuity
• Transient dynamics of an elastic Hele-Shaw cell due to external forces with application to impact mitigation

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