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Type of publication: Straipsnis Clarivate Analytics Web of Science ar/ir Scopus / Article in Clarivate Analytics Web of Science or / and Scopus (S1)
Field of Science: Informatikos inžinerija / Informatics engineering (T007)
Author(s): Ragulskis, Minvydas;Palevičius, Arvydas;Ragulskis, Liutauras;Bubulis, Algimantas
Title: Generalized Abel transform for the analysis of fluid vibration in a tube
Is part of: Optical engineering. Bellingham : SPIE-Society photoptical instrumentation engineers, 2007, Vol. 46, iss. 6
Extent: p. 1-8
Date: 2007
Note: Article Number: 065801
Keywords: Volumetric strain;Vibration;Time-average holography;Abel transform;FEM analysis
Abstract: Fluid vibrations in axisymmetric 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 axisymmetric pipe. The numerical model is developed using finite-element techniques in axisymmetric geometry. Irrotational motions of ideal compressible fluid are analyzed. The 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. Obtained volumetric strains are used for the numerical construction of the interference pattern of the vibrating fluid. For this purpose the Abel transform, which is usually exploited in axisymmetric problems, is generalized for problems with circumferential variation of displacements. The obtained interference patterns are used in hybrid experimental - numerical procedures and help to interpret experimental results
Affiliation(s): Kauno technologijos universitetas
Vytauto Didžiojo universitetas
Appears in Collections:Universiteto mokslo publikacijos / University Research Publications

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