Transient dynamics of an elastic Hele-Shaw cell due to external forces with application to impact mitigation

DOI10.1017/JFM.2016.418zbMath1445.76039arXiv1512.00730OpenAlexW3124790004MaRDI QIDQ4976742

Arie Tulchinsky, Amir D. Gat

Publication date: 1 August 2017

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

Full work available at URL: https://arxiv.org/abs/1512.00730

zbMATH Keywords

lubrication theoryHele-Shaw flowslow-Reynolds-number flows

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Lubrication theory (76D08) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (3)

Elastic deformations driven by non-uniform lubrication flows ⋮ Elastohydrodynamics of a pre-stretched finite elastic sheet lubricated by a thin viscous film with application to microfluidic soft actuators ⋮ Droplet settling on solids coated with a soft layer

Cites Work

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• The special functions and their approximations. Vol. I, II
• Displacement flows under elastic membranes. Part 1. Experiments and direct numerical simulations
• Displacement flows under elastic membranes. Part 2. Analysis of interfacial effects
• Moving-boundary and fixed-domain problems for a sixth-order thin-film equation

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