Stability of the viscous flow of a fluid through a flexible tube

DOI10.1017/S0022112095002886zbMath0858.76024OpenAlexW2007445157MaRDI QIDQ4873005

V. Kumaran

Publication date: 16 April 1996

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

Full work available at URL: https://doi.org/10.1017/s0022112095002886

zbMATH Keywords

Stokes flowlinear stabilityBessel functionsaxisymmetric perturbationscritical wave numbercritical mean velocityelastic viscous solidflows in microcirculation systemsquasi-stationary velocity fieldtemporal normal modes

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Physiological flows (76Z05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (22)

Reduced modelling and global instability of finite-Reynolds-number flow in compliant rectangular channels ⋮ 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 ⋮ Weakly nonlinear stability analysis of a flow past a neo-Hookean solid at arbitrary Reynolds numbers ⋮ Stability of fluid flow through deformable neo-Hookean tubes ⋮ Axisymmetric instability of elastic tubes conveying power-law fluids ⋮ 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 the viscous flow of a polymeric fluid past a flexible surface ⋮ Stability of inviscid flow in a flexible tube ⋮ Stability of the flow of a fluid through a flexible tube at high Reynolds number ⋮ 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 ⋮ Purely elastic instabilities in the airways and oral area ⋮ 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 ⋮ Instability of gravity-driven free-surface flow past a deformable elastic solid ⋮ 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 ⋮ Role of viscoelasticity in instability in plane shear flow over a deformable solid ⋮ Consistent formulations for stability of fluid flow through deformable channels and tubes

Cites Work

• Interfacial instability due to elastic stratification in concentric coextrusion of two viscoelastic fluids
• A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls
• The stability of two stratified non-Newtonian liquids in Couette flow
• The stability of gravity driven viscoelastic film-flow at low to moderate Reynolds number
• Stability of the interface in two-layer Couette flow of upper convected Maxwell liquids

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