Subcritical finite-amplitude solutions in plane Couette flow of visco-elastic fluids

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dc.creatorMorozov, Alexander N.
dc.creatorvan Saarloos, Wim
dc.date2004-11-10
dc.date.accessioned2026-07-07T03:01:59Z
dc.date.available2026-07-07T03:01:59Z
dc.descriptionPlane Couette flow of visco-elastic fluids is shown to exhibit a purely elastic subcritical instability in spite of being linearly stable. The mechanism of this instability is proposed and the nonlinear stability analysis of plane Couette flow of the Upper-Convected Maxwell fluid is presented. It is found that above the critical Weissenberg number, a small finite-size perturbation is sufficient to create a secondary flow, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases. The results suggest a scenario for weakly turbulent visco-elastic flow which is similar to the one for Newtonian fluids as a function of Reynolds number.
dc.descriptionSubmitted to Phys.Rev.Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0411243
dc.identifierhttp://arxiv.org/abs/cond-mat/0411243
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25241
dc.subjectSoft Condensed Matter
dc.subjectMaterials Science
dc.subjectFluid Dynamics
dc.titleSubcritical finite-amplitude solutions in plane Couette flow of visco-elastic fluids
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