A mechanism for oscillatory instability in viscoelastic cross-slot flow

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dc.creatorXi, Li
dc.creatorGraham, Michael D.
dc.date2007-03-28
dc.date.accessioned2026-07-07T07:54:17Z
dc.date.available2026-07-07T07:54:17Z
dc.descriptionInterior stagnation point flows of viscoelastic liquids arise in a wide variety of applications including extensional viscometry, polymer processing and microfluidics. Experimentally, these flows have long been known to exhibit instabilities, but the mechanisms underlying them have not previously been elucidated. We computationally demonstrate the existence of a supercritical oscillatory instability of low-Reynolds number viscoelastic flow in a two-dimensional cross-slot geometry. The fluctuations are closely associated with the "birefringent strand" of highly stretched polymer chains associated with the outflow from the stagnation point at high Weissenberg number. Additionally, we describe the mechanism of instability, which arises from the coupling of flow with extensional stresses and their steep gradients in the stagnation point region.
dc.description31 pages, 14 figures, submitted to Journal of Fluid Mechanics
dc.identifierhttps://arxiv.org/abs/physics/0703262
dc.identifierhttp://arxiv.org/abs/physics/0703262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126547
dc.subjectFluid Dynamics
dc.titleA mechanism for oscillatory instability in viscoelastic cross-slot flow
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