On the dynamics of a thin viscous film spreading between a permeable horizontal plate and an elastic sheet

DOI10.1017/JFM.2018.61zbMath1419.76045OpenAlexW2794023812MaRDI QIDQ5227046

Jerome A. Neufeld, Finn Box, Andrew W. Woods

Publication date: 5 August 2019

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

Full work available at URL: https://doi.org/10.1017/jfm.2018.61

zbMATH Keywords

Hele-Shaw flowsgravity currentslow-Reynolds-number flows

Mathematics Subject Classification ID

Thin fluid films (76A20) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

• Two-dimensional viscous gravity currents flowing over a deep porous medium
• On the slow draining of a gravity current moving through a layered permeable medium
• Displacement flows under elastic membranes. Part 1. Experiments and direct numerical simulations
• Displacement flows under elastic membranes. Part 2. Analysis of interfacial effects
• Mechanics of Hydraulic Fractures
• A fixed grid algorithm for simulating the propagation of a shallow hydraulic fracture with a fluid lag
• Modelling the suppression of viscous fingering in elastic-walled Hele-Shaw cells
• Multiscale tip asymptotics in hydraulic fracture with leak-off
• Moving-boundary and fixed-domain problems for a sixth-order thin-film equation
• The Tip Region of a Fluid-Driven Fracture in an Elastic Medium
• The steady propagation of a bubble in a flexible-walled channel: Asymptotic and computational models
• Axisymmetric viscous gravity currents flowing over a porous medium
• Elastic-plated gravity currents
• B<scp>IOFLUID</scp> M<scp>ECHANICS IN</scp> F<scp>LEXIBLE</scp> T<scp>UBES</scp>

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