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Incompressible low‐speed‐ratio flow in non‐uniform distensible tubes
Author(s) -
Reuderink P. J.,
van de Vosse F. N.,
van Steenhoven A. A.,
van Dongen M. E. H.,
Janssen J. D.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650160704
Subject(s) - mechanics , tube (container) , flow (mathematics) , compressibility , physics , incompressible flow , finite element method , fluid dynamics , classical mechanics , mathematics , thermodynamics , engineering , mechanical engineering
The fluid flow in distensible tubes is analysed by a finite element method based on an uncoupled solution of the equations of wall motion and fluid flow. Special attention is paid to the choice of proper boundary conditions. Computations were made for sinusoidal flow in a distensible uniform tube with the Womersley parameter α = 5, and a ratio between tube radius and wavelenth from 0·0001 to 0·5. The agreement between the numerical results and Womersley's analytic solution depends on the speed ratio between fluid and wave velocity, and is fair for speed ratios up to 0·05. The analysis of the flow field in a distensible tube with a local inhomogeneity revealed a marked influence of wave phenomena and wall motion on the velocity profiles.