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Numerical simulation of the divergent flow regime in a circular contraction flow of a viscoelastic fluid. (English) Zbl 0783.76051

Summary: A numerical method is used to study the influence of inertia and elongational properties on the vortex growth in the flow of a viscoelastic fluid through a four-to-one contraction. It appears that the vortex growth regime and the divergent flow regime, which are observed in experiments for some fluids, can be found for a choice of the material parameters where both the elongational stresses and the inertia forces are large for the flow rate considered. After studying the type and the vorticity, it is concluded that the appearance of a divergent flow regime is likely to be a critical phenomenon (i.e., a change of type for a critical velocity) and that large elongational stresses are essential as well.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76A10 Viscoelastic fluids
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