General Reflection Coefficients for Acoustic Multipole Sources on guided waves in Isotropic Tubular Structure Liquid Metal Sodium Filled

Abstract

ABSTRACT:A new and effective analytical method is presented for the acoustic multipole sources in isotropic tubular structure filling liquid metal sodium whose symmetric principal axis is parallel to the tube axis the exact solutions could be found. In this paper, the new method is adopted to simulate the general reflection coefficients in isotropic tubular structure filling liquid metal sodium for the first time. By selecting a group of displacement potentials and a cylindrical coordinate system oriented along the tube axis, the solutions of the multipole acoustic field are derived for isotropic tubular structure filling liquid metal sodium. The acoustic fields inside and outside the tube excited by a multipole source are investigated. The general reflection coefficients in the tube are numerically simulated. It is found that the general reflection coefficients in isotropic tubular structure filling liquid metal sodium whose symmetric principal axis is parallel to the tube axis inside the tube excited by monopole, dipole sources and quadrupole source are change as the change of thickness of tube and temperature.