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Non‐Newtonian tangential flow in cylindrical annuli. IV
Author(s) -
Tadmor Zehev
Publication year - 1966
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.760060306
Subject(s) - mechanics , drag , curvature , power law fluid , flow (mathematics) , pressure gradient , materials science , superposition principle , constant (computer programming) , pressure drop , newtonian fluid , power law , angular velocity , constant angular velocity , parasitic drag , physics , classical mechanics , geometry , mathematics , mathematical analysis , statistics , computer science , programming language
Tangential flow of a “power law” model fluid between two concentric cylinders is analyzed. A constant angular pressure gradient is imposed and one of the cylinders is rotating at a constant angular velocity. This type of flow is of interest in screw extrusion theory. The error in the superposition, i.e., linear addition of tangential pressure and drag flows, for a “power law” model fluid, is quantitatively calculated and plotted in the form of a correction factor. Tangential pressure flow is compared to a pressure flow between parallel plates and additional correction factor to account for the curvature is derived and plotted. The applicability of the “power law” model for flow of polymer melts in extruders is also discussed.