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Computer simulation of viscoelastic flow at the entry region
Author(s) -
Loh K. W. L.,
Teoh S. H.,
Tay A. A. O.
Publication year - 1996
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.10423
Subject(s) - discontinuity (linguistics) , mechanics , viscoelasticity , classification of discontinuities , advection , upwind scheme , nonlinear system , flow (mathematics) , newtonian fluid , materials science , geometry , mathematical analysis , mathematics , physics , thermodynamics , composite material , quantum mechanics , discretization
Non‐Newtonian flow has a nonlinear constitutive relationship with an advective nature. It was found that in highly advective (convective) problems, the Galerkin formulation “under‐diffused,” resulting in divergence at low elastic numbers. The use of the Streamline‐Upwinding (SU) method improved the solution, especially when used with the Phan‐Thien‐Tanner (PTT) model. At the boundary discontinuity, however, the stress gradient did not necessarily flow along the streamline direction, and oscillations still remained at the corner. The Discontinuity‐Capturing (DC) method resolved this problem by applying control in the direction of the stress gradient rather than the stream line direction, and a smoother solution at the corner region was achieved.