Abstract
A new analytical method is proposed for the multi-pole sound source of the isotropic tubular structure liquid metal sodium with the symmetry principal axis parallel to the tube axis. For the first time in this paper, a new method is used to simulate the dispersion characteristics of an isotropic tubular structure filled with liquid sodium. By selecting a set of displacement potentials and a cylindrical coordinate system along the tube axis, the multipole sound field solution of the isotropic tubular structure filled with liquid sodium is derived. The sound field of the multi-pole source inside and outside the tube is studied, and the dispersion characteristics in the tube are numerically simulated. The results show that in the isotropic tubular structure in which the symmetrical main axis of the tube excited by the monopole, dipole and quadrupole sources is parallel to the tube axis, the dispersion characteristics of the filled liquid metal sodium vary with the thickness and temperature of the tube and change.
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