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Poole, Robert J.; Alves, Manuel A.

Velocity overshoots in gradual contraction flows. (English) Zbl 1274.76128

J. Non-Newton. Fluid Mech. 160, No. 1, 47-54 (2009).
From the summary: This study reports the results of a systematic numerical investigation, using the upper-convected Maxwell (UCM) and Phan-Thien-Tanner (PTT) models, of viscoelastic fluid flow through three-dimensional gradual planar contractions of various contraction ratios with the aim of investigating experimental observations of extremely large near-wall velocity overshoots in similar geometries. We are able to obtain good qualitative agreement with the experiments, even using the UCM model in creeping-flow conditions, showing that neither inertia, second normal-stress difference nor shear-thinning effects are required for the phenomenon to be observed. Guided by the numerical results we propose a simple explanation for the occurrence of the velocity overshoots and the conditions under which they arise.

Cited in 1 Document

MSC:

76A10 Viscoelastic fluids

Keywords:

viscoelastic flow in gradual contractions; cat’s ears; UCM model; PTT model; creeping flow; finite-volume method
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References:

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