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3‐D flow analysis of non‐newtonian viscous fluids using “enriched” finite elements
Author(s) -
Gupta Mahesh,
Kwon Tai H.
Publication year - 1990
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760302203
Subject(s) - newtonian fluid , flow (mathematics) , spurious relationship , finite element method , mechanics , materials science , non newtonian fluid , boundary value problem , pressure drop , geometry , physics , mathematical analysis , thermodynamics , mathematics , statistics
‘Enriched’ element, Q 1 + P o , and ‘standard’ element, Q 1 P o , are compared for the simulation of 3‐dimensional flow of non‐Newtonian fluids. Several 3‐dimensional polymer flow problems are analyzed. The pressure field obtained by using Q 1 P o elements suffers from spurious pressure modes. For complex flows, depending upon the flow geometry and the boundary conditions used, Q 1 + P o elements may fall to simulate even the velocity field. Q 1 P o elements, which satisfy the Babuska‐Brezzi condition, give accurate velocity and pressure distributions for all the problems analyzed here.