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Old and New Results on the Two-Dimensional Poiseuille Flow

✍ Scribed by A. Fortin; M. Jardak; J.J. Gervais; R. Pierre

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
632 KB
Volume
115
Category
Article
ISSN
0021-9991

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✦ Synopsis

This paper deals with linear and non-linear hydrodynamic stability of the two-dimensional Poiseuille flow. A new numerical approach for the study of linear stability is presented. A numerical study of the transition of the flow to chaos is also presented. Using tools from dynamical system theory, we identify and characterize the different solutions of the Navier-Stokes equations at different values of the Reynolds number. Numerical solutions are presented on the unstable branch of solutions resulting from the observed subcritical Hopf bifurcation. (-1994 Academic Press, Inc.

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