منابع مشابه
Modeling 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...
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 the Transition to Turbulence in Plane Couette Flow
Numerical simulations of a model of plane Couette flow focusing on its in-plane spatio-temporal properties are used to study the dynamics of turbulent spots. While the core of a spot is filled with small scale velocity fluctuations, a large scale flow extending far away and occupying the full gap between the driving plates is revealed upon filtering out small scales. It is characterized by stre...
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 کاملStability Analysis of Perturbed Plane Couette Flow
Plane Couette ow perturbed by a spanwise oriented ribbon, similar to a con guration investigated experimentally at CEA-Saclay, is investigated numerically using a spectral-element code. 2D steady states are computed for the perturbed con guration; these di er from the unperturbed ows mainly by a region of counter-circulation surrounding the ribbon. The 2D steady ow loses stability to 3D eigenmo...
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2007
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2007-00243-y