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Computer simulation of viscoelastic flow at the entry region

Computer simulation of viscoelastic flow at the entry region 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Polymer Engineering & Science Wiley

Computer simulation of viscoelastic flow at the entry region

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References (17)

Publisher
Wiley
Copyright
Copyright © 1996 Society of Plastics Engineers
ISSN
0032-3888
eISSN
1548-2634
DOI
10.1002/pen.10423
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Polymer Engineering & ScienceWiley

Published: Feb 1, 1996

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