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On the Dynamical Stability of Cylinders Placed in Cross-Flow

✍ Scribed by J. Planchard; B. Thomas

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
516 KB
Volume
7
Category
Article
ISSN
0889-9746

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✦ Synopsis

The aim of this paper is to investigate the dynamical stability of an elastic tube bundle placed in a cross-flow which is governed by the Navier-Stokes equations. The stability of this coupled system is derived from the study of a quadratic eigenvalue problem arising in the linearized equations. The instability occurs when the real part of one of these eigenvalues becomes positive; the steady state is then replaced by a time-periodic state which is stable (Hopf bifurcation phenomenon).

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