Published: 31 December 2008

Inversion of the generalized abel transform in the analysis of fluid vibration in a tube

J. Ragulskiene1
A. Palevicius2
P. Paškevicius3
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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. In order to obtain volumetric strains from the holographic image of the vibrating fluid the inversion of the generalized Abel transform is to be performed. A numerical procedure for the solution of this problem is proposed

About this article

Received
02 November 2008
Accepted
02 December 2008
Published
31 December 2008
Keywords
generalized Abel transform
vibration of fluid
axi-symmetric problem
volumetric strain
numerical integration