3‐D flow analysis of non‐newtonian viscous fluids using “enriched” finite elements

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<jats:title>Abstract</jats:title><jats:p>‘Enriched’ element, Q<jats:sub>1</jats:sub><jats:sup>+</jats:sup>P<jats:sub>o</jats:sub>, and ‘standard’ element, Q<jats:sub>1</jats:sub>P<jats:sub>o</jats:sub>, 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<jats:sub>1</jats:sub>P<jats:sub>o</jats:sub> elements suffers from spurious pressure modes. For complex flows, depending upon the flow geometry and the boundary conditions used, Q<jats:sub>1</jats:sub><jats:sup>+</jats:sup>P<jats:sub>o</jats:sub> elements may fall to simulate even the velocity field. Q<jats:sub>1</jats:sub>P<jats:sub>o</jats:sub> elements, which satisfy the Babuska‐Brezzi condition, give accurate velocity and pressure distributions for all the problems analyzed here.</jats:p>

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