Two Dimensional Numerical Simulation and Experiment on Large Deformation of Collapsible Tube

Abstract

By using a tube law, which is the relationship between cross sectional area of a collapsible tube and transmural pressure, that is, the pressure difference of the inside from the outside of its wall, coupled problem between flow in the tube and its wall deformation can be formulated easily. In this paper a numerical method for calculating two-dimensional deformation of the tube and comparison with experimental results are reported. The calculation results are compared with those of ref.(6)to show validity of our calculation method in which the tube wall thickness is taken into account for contact behavior of the tube wall. In the experiment we use silicone rubber tubes as the collapsible tube. The tube's cross sectional shape is visualized by using laser light sheet method. It is shown experimentally that the tube law calculated by dividing inner volume of the tube by its length has large error in the wall contact region. In the tube law calculated in ref.(6), the tube wall thickness is not treated in rigorous way in the wall contact region. But according to our results, effect of the wall thickness on the tube law is not negligible in the contact region.