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A finite element approximation of steady flow through a rotating non‐aligned straight tube
Author(s) -
Noronha W. P.,
Berman J.
Publication year - 1986
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.1650061004
Subject(s) - mechanics , finite element method , newtonian fluid , flow (mathematics) , transverse plane , tube (container) , secondary flow , classical mechanics , physics , fluid dynamics , acceleration , plane (geometry) , pipe flow , mathematics , geometry , engineering , structural engineering , thermodynamics , mechanical engineering , turbulence
A finite element solution is developed for a penalty function formulation of the equations which govern the steady motion of a Newtonian fluid through a pipe that rotates about an axis not parallel to its own. The motion in this system is driven by the Coriolis acceleration, which has components in the axial direction as well as in the transverse plane of the pipe. The relative magnitudes of these components significantly affect the qualitative and quantitative nature of the primary and secondary flow field. The present results compare favourably with those of previously reported experimental and theoretical studies over a wide range of flow regimes.