Weakly nonlinear stability of viscous flow past a flexible surface

DOI10.1017/S0022112001003615zbMath0997.76031OpenAlexW1971655917MaRDI QIDQ2731200

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Publication date: 8 November 2002

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

Full work available at URL: https://doi.org/10.1017/s0022112001003615

zbMATH Keywords

bifurcationinterfaceCouette flowviscous fluidflexible surfacevanishing Reynolds numberpolymer gelbottom rigid platemoving top plate

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (11)

A dynamical instability due to fluid–wall coupling lowers the transition Reynolds number in the flow through a flexible tube ⋮ Stability of the flow of a viscoelastic fluid past a deformable surface in the low Reynolds number limit ⋮ Selection of the divergence waves on a model viscoelastic coating under a potential flow ⋮ Weakly nonlinear stability analysis of a flow past a neo-Hookean solid at arbitrary Reynolds numbers ⋮ Effect of viscoelasticity on the soft-wall transition and turbulence in a microchannel ⋮ Experimental study of the instability of the viscous flow past a flexible surface ⋮ Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer ⋮ Stability and the transition to turbulence in the flow through conduits with compliant walls ⋮ Stability of fluid flow through deformable tubes and channels: an overview ⋮ Consistent formulations for stability of fluid flow through deformable channels and tubes ⋮ Stability of plane Couette flow past an initially stressed solid

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