F-0811 Dynamic Characteristic of Fluid Flow in a Collapsible Tube

Abstract

This is the study of the self-excited oscillations taking place in a flow of a collapsible tube such as a venular vessel or a natural rubber tube. In order to understand the mechanism, a one-dimensional simple model is used to formulate the strong interaction between the fluid and tube. The beam element is used for the longitudinal deformation of the tube and an experimental formula, tube law, is employed to evaluate the circumferential stiffness in the incremental forms. It is assumed that there is one dimensional incompressible flow with varying widths. The governing equation is expressed in the form of symmetric systems. Also, a stabilized method combined with the predictor multi-corrector algorithm is implemented. The mechanism and the relationship between pressure and deformation of the self-excited oscillation were shown in these computations of a simple model.