Stability of fluid flow in a flexible tube to non-axisymmetric disturbances

DOI10.1017/S0022112099007570zbMath0999.76052OpenAlexW2025983445MaRDI QIDQ4496524

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Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1017/s0022112099007570

zbMATH Keywords

hydrodynamic stabilityasymptotic analysishigh Reynolds numberviscous stressesincompressible elastic materialflexible tubeHagen-Poiseuille flownon-axisymmetric disturbancesrigid tubenon-zero azimuthal wavenumber

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (12)

A dynamical instability due to fluid–wall coupling lowers the transition Reynolds number in the flow through a flexible tube ⋮ Stability of fluid flow through deformable neo-Hookean tubes ⋮ Effect of viscoelasticity on the soft-wall transition and turbulence in a microchannel ⋮ Transitions to different kinds of turbulence in a channel with soft walls ⋮ Stability of two-layer Newtonian plane Couette flow past a deformable solid layer ⋮ Stability of flow through deformable channels and tubes: implications of consistent formulation ⋮ A multifold reduction in the transition Reynolds number, and ultra-fast mixing, in a micro-channel due to a dynamical instability induced by a soft wall ⋮ Stability of pressure-driven flow in a deformable neo-Hookean channel ⋮ 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 ⋮ Branching behaviour of the Rayleigh–Taylor instability in linear viscoelastic fluids

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