Analysis of vibrations of fluid in axi-symmetric geometry

Abstract

Fluid vibrations in axi-symmetric geometry according to the first harmonic in the circumferential direction are analyzed. This problem has a practical application in the analysis of transverse vibrations of fluid in an axi-symmetric pipe. The numerical model is developed using finite element techniques in axi-symmetric geometry. Irrotational motions of ideal compressible fluid are analyzed. Finite element model of the system is based on the approximation of nodal displacements via the shape functions. Thus the field of the amplitudes of the circumferential variation of the volumetric strain is calculated exploiting conjugate approximation techniques. The obtained volumetric strains can be used in hybrid experimental – numerical procedures and can help to interpret experimental results.