The Library
Stability analysis of perturbed plane Couette flow
Tools
UNSPECIFIED (1999) Stability analysis of perturbed plane Couette flow. PHYSICS OF FLUIDS, 11 (5). pp. 1187-1195. ISSN 1070-6631.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Abstract
Plane Couette flow perturbed by a spanwise oriented ribbon, similar to a configuration investigated experimentally at the Centre d'Etudes de Saclay, is investigated numerically using a spectral-element code. Two-dimensional (2-D) steady states are computed for the perturbed configuration; these differ from the unperturbed flows mainly by a region of counter-circulation surrounding the ribbon. The 2-D steady flow loses stability to three-dimensional (3-D) eigenmodes at Re-c = 230, beta(c) = 1.3 for rho = 0.086 and Re(c)approximate to 550, beta(c)approximate to 1.5 for rho = 0.043, where beta is the spanwise wave number and 2 rho is the height of the ribbon. For rho = 0.086, the bifurcation is determined to be subcritical by calculating the cubic term in the normal form equation from the time series of a single nonlinear simulation; steady 3-D flows are found for Re as low as 200. The critical eigenmode and nonlinear 3-D states contain streamwise vortices localized near the ribbon, whose streamwise extent increases with Re. All of these results agree well with experimental observations. (C) 1999 American Institute of Physics. [S1070-6631(99)00305-0].
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | T Technology > TJ Mechanical engineering and machinery Q Science > QC Physics |
||||
Journal or Publication Title: | PHYSICS OF FLUIDS | ||||
Publisher: | AMER INST PHYSICS | ||||
ISSN: | 1070-6631 | ||||
Official Date: | May 1999 | ||||
Dates: |
|
||||
Volume: | 11 | ||||
Number: | 5 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 1187-1195 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |