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Finite element solutions for flow in a single‐screw extruder, including curvature effects
Author(s) -
Hami M. L.,
Pittman J. F. T.
Publication year - 1980
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.760200505
Subject(s) - curvature , plastics extrusion , finite element method , bingham plastic , mechanics , convergence (economics) , flow (mathematics) , channel (broadcasting) , materials science , mathematical analysis , mathematics , geometry , computer science , physics , structural engineering , rheology , engineering , composite material , computer network , economics , economic growth
Slow developed flow in an extruder channel has been set up as a two‐dimensional, variational problem using a helical coordinate system, thus avoiding the usual geometrical simplification. Continuity is enforced by an integral form of constraint, and solutions for isothermal, Newtonian flow are obtained by a finite element method for both shallow and deep, highly curved channels. The performance of the solution procedure as a function of Lagrangian multiplier is discussed. Convergence to correct solutions is demonstrated for the shallow channel case. Deep channel results are compared with analytic predictions, curvature corrected according to Booy. Further testing of deep channel results will be made against experimental data.