@inproceedings{e30643d36ac14a78aad393133d37a8f4,

title = "Subcritical instabilities in plane Couette flow of visco-elastic fluids",

abstract = "A non-linear stability analysis of plane Couette flow of the Upper-Convected Maxwell model is performed. The amplitude equation describing time-evolution of a finite-size perturbation is derived. It is shown that above the critical Weissenberg number, a perturbation in the form of an eigenfunction of the linearized equations of motion becomes subcritically unstable, and the threshold value for the amplitude of the perturbation decreases as the Weissenberg number increases.",

keywords = "visco-elastic flows, subcritical instabilities, amplitude equation, CONVECTED MAXWELL FLUID, ZERO REYNOLDS-NUMBER, ELASTIC INSTABILITY, POISEUILLE FLOW, STABILITY ANALYSIS, LINEAR-STABILITY, PARALLEL FLOWS, SHEAR-FLOW, TURBULENCE, MECHANICS",

author = "AN Morozov and {van Saarloos}, W",

year = "2005",

language = "English",

isbn = "1-4020-4048-2",

series = "FLUID MECHANICS AND ITS APPLICATIONS",

publisher = "Springer-Verlag GmbH",

pages = "313--330",

editor = "T Mullin and R Kerswell",

booktitle = "IUTAM Symposium on Laminar-Turbulent Transition and Finite Amplitude Solutions",

note = "Symposium on Non-Uniqueness of Solutions to the Navier-Stokes Equations and Their Connection with Laminar-Transition ; Conference date: 09-08-2004 Through 11-08-2004",

}