Finite amplitude perturbation and spots growth mechanism in plane Couette flow
نویسندگان
چکیده
منابع مشابه
Bounds for the Threshold Amplitude for Plane Couette Flow
We prove nonlinear stability for finite amplitude perturbations of plane Couette flow. A bound of the solution of the resolvent equation in the unstable complex half-plane is used to estimate the solution of the full nonlinear problem. The result is a lower bound, including Reynolds number dependence, of the threshold amplitude below which all perturbations are stable. Our result is an improvem...
متن کاملSubcritical finite-amplitude solutions for plane Couette flow of viscoelastic fluids.
Plane Couette flow of viscoelastic fluids is shown to exhibit a purely elastic subcritical instability at a very small-Reynolds number 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. Above a critical Weissenberg number, a small finite-size perturbation i...
متن کاملSpots and turbulent domains in a model of transitional plane Couette flow
Paul Manneville Laboratoire d’Hydrodynamique (LadHyX) École polytechnique, F-91128 Palaiseau, France e-mail: [email protected] Web page: http://www.ladhyx.polytechnique.fr/ ABSTRACT Introduction. The problem of the transition to turbulence is best understood in a globally supercritical context, e.g. for Rayleigh–Bénard convection. Difficulties arise for open flows that ar...
متن کاملInstability of Plane Couette Flow
The energy gradient theory has been proposed with the aim of better understanding the mechanism of flow transition from laminar flow to turbulent flow. In this theory, it is suggested that the transition to turbulence depends on the relative magnitudes of the energy gradient amplifying the disturbance and the viscous friction damping that disturbance. For a given flow geometry and fluid propert...
متن کاملModeling transitional plane Couette flow
The Galerkin method is used to derive a realistic model of plane Couette flow in terms of partial differential equations governing the space-time dependence of the amplitude of a few cross-stream modes. Numerical simulations show that it reproduces the globally sub-critical behavior typical of this flow. In particular, the statistics of turbulent transients at decay from turbulent to laminar fl...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 1995
ISSN: 1070-6631,1089-7666
DOI: 10.1063/1.868631