Stability of the flow of a fluid through a flexible tube at high Reynolds number

DOI10.1017/S0022112095004034zbMath0880.76027MaRDI QIDQ4887851

V. Kumaran

Publication date: 5 February 1998

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

zbMATH Keywords

elastic stressesasymptotic expansionHagen-Poiseuille flowleading approximationinertial stresses

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (7)

Stability of inviscid flow in a flexible tube ⋮ Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes ⋮ Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer ⋮ Stability of flow through deformable channels and tubes: implications of consistent formulation ⋮ Consistent formulations for stability of fluid flow through deformable channels and tubes ⋮ Turbulent flow of finite-size spherical particles in channels with viscous hyper-elastic walls ⋮ Numerical simulation of turbulent channel flow over a viscous hyper-elastic wall

Cites Work

• A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls
• Asymptotic solution of the differential equation of hydrodynamic stability in a domain containing a transition point
• On the stability of fully developed flow in a pipe
• Shearing flow over a wavy boundary
• On the stability of a laminar incompressible boundary layer over a flexible surface
• Stability of the viscous flow of a fluid through a flexible tube
• On the behaviour of small disturbances to Poiseuille flow in a circular pipe
• The stability of Poiseuille flow in a pipe
• The stability of pipe flow Part 1. Asymptotic analysis for small wave-numbers
• The stability of Poiseuille flow in a pipe of circular cross-section
• Linear spatial stability of pipe Poiseuille flow
• The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows

This page was built for publication: Stability of the flow of a fluid through a flexible tube at high Reynolds number