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Re-entrant corner flows of UCM fluids: The natural stress basis

✍ Scribed by J.D. Evans

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
763 KB
Volume
150
Category
Article
ISSN
0377-0257

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✦ Synopsis

This paper continues the description of a two parameter family of solutions for the local asymptotic behaviour of UCM fluids at re-entrant corners. Here, the natural stress basis is used to re-derive the equations in the core flow and boundary layers, with full description of the scalings and matching being given. The parametric solution dependence is completed with numerical deteremination of the coefficient of the downstream wall shear rate. The flow structure implicitly assumes the absence of a separating streamline in the upstream region.

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We consider the Upper Convected Maxwell (UCM) limit of the Phan-Thien-Tanner (PTT) equations for steady planar flow around re-entrant corners. The PTT equations give the UCM equations in the limit of vanishing model parameter Γ„, this dimensionless parameter being associated with the quadratic stress