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arXiv · 1602.02404

Is a UCM fluid flow near a stationary point always singular?

Igor Mackarov
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Abstract

Frequently observed divergence of numerical solutions to benchmark flows of the UCM viscoelastic fluid is a known and widely discussed issue. Some authors consider such singularities "invincible". The article argues this position, to which end it considers two typical flows with a stagnation point, often a place of the flows' singularity: counterflows and a flow spread over a wall. For the counterflows numerical and asymptotic analytical solutions are presented. Both kinds of flows turn out regular in the stagnation points, in particular, for high Weissenberg numbers. A good accordance is demonstrated between the analytical and numerical results.

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Igor Mackarov. 2016-02-07. Is a UCM fluid flow near a stationary point always singular?. https://arxiv.org/abs/1602.02404

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