Static Characteristics of Collapsible Tubes. (2nd Report. Stability of Steady Flows).

Steady finite-Reynolds-number flows in three-dimensional collapsible tubes

A fully-coupled, finite-element method is used to investigate the steady flow of a viscous fluid through a thin-walled, elastic tube mounted between two rigid tubes. The steady, three-dimensional, Navier–Stokes equations are solved simultaneously with the equations of geometrically-non-linear, Kirchhoff–Love shell theory. If the transmural (internal minus external) pressure acting on the tube i...

Steady and unsteady flows in collapsible channels

This paper presents a review and discussion on the numerical studies on steady and unsteady flow in collapsible channels using both the fluid-membrane model and the fluid-beam model. The aim of the research is to explore the possible mechanisms of self-excited oscillations observed in experiments on flow in collapsible tubes. The existence and stability of the steady solutions for different con...

Flow of liquids through collapsible tubes.

Liquid flowing through a thin-walled "collapsible" tube similar to a vein, inclined to any angle between vertical and slightly above horizontal, differs from the flow in rigid tubes in that: a "collapsible" tube accepts any flow presented to it without affecting the rate of flow through the system; the lateral pressure at all cross sections throughout the tube is zero and does not change as the...

Aperiodic flow-induced oscillations of collapsible tubes: a critical reappraisal.

The evidence for the aperiodic self-excited oscillations of flow-conveying collapsible tubes being mathematically chaotic is re-examined. Many cases which powerfully suggest nonlinear deterministic behaviour have not been recorded over time-spans which allow their exhaustive examination. The present investigation centred on a previously recorded robust and generic oscillation, but more recent a...

An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel