A NUMERICAL APPROACH TO THE STANDARD MODEL OF WATER HAMMER WITH FLUID-STRUCTURE INTERACTION

作     者：Henclik, Slawomir 

作者机构：Polish Acad Sci Inst Fluid Flow Machinery Gdansk Poland 

出 版 物：《JOURNAL OF THEORETICAL AND APPLIED MECHANICS》 (J. Theor. Appl. Mech.)

年 卷 期：2015年第53卷第3期

页      面：543-555页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Ministry of Science and Higher Education of Poland [N N504 478839] 

主　　题：water hammer transient pipe flow fluid-structure interaction standard model method of characteristics 

摘      要：In the classic water hammer (WH) theory, 1D liquid flow in a quasi-rigid pipe is assumed. When the pipe is flexible or is fixed to the foundation with elastic supports, the dynamic fluid structure interaction (FSI) should be taken into account for more accurate modelling of the system behaviour. The standard model of WH-FSI for a straight pipe reach is governed by fourteen hyperbolic partial differential equations of the first order, two for 1D liquid flow and twelve for 3D motion of the pipe. This model is presented in the paper and an algorithm for its numerical solution based of the method of characteristics is proposed. Basic boundary conditions (BC) are shortly discussed. The important condition at the junction of two sub-pipes fixed to the foundation with a viscoelastic support is presented in details and a general method of its solution is proposed.