Fluid Structure Interaction in Tube Bundles: Analysis of Tubes Movements in Oppisite Directions

摘要

Various industrial components contain tube bundles immersed in a fluid. The fluid structure interaction occurring between the tubes, the fluid and the surrounding structures constitutes generally the most important phenomenon with respect to the dynamic behavior of such components.The classical approach of this problem (i.e. in representing explicitly the fluid and the tubes) remains difficult as it needs a refined model of the elementary cell of the bundle which leads to large problems difficult to solve.Simplified methods have been developed, based on two scale asymptotic expansions, which allow to approximate rather precisely the dynamic behavior of the bundle for its global movement. Nevertheless this formalism is not adapted to represent motions of the bundle in which two adjacent tubes move in opposite directions.Another approach for this problem has been proposed by Shinoara for tubes with square or hexagonal cross sections. According to the assumptions, this approach is mainly valid when the gap separating two adjacent tubes is small in comparison with the tubes diameter.The aim of this paper is to present a finite element which has been developed from the Shinoara's approach and to use it for validating the method. More precisely, its accuracy for movements in which adjacent tubes move in opposite directions will be investigated.