Nonlinear Stability Analysis of Two-Dimensional Patterns in the Wake of a Circular Cylinder

Published under licence by IOP Publishing Ltd
, , Citation A. Chiffaudel 1992 EPL 18 589 DOI 10.1209/0295-5075/18/7/004

0295-5075/18/7/589

Abstract

A two-dimensional Ginzburg-Landau amplitude equation for the 3D wake of a circular cylinder is derived. This equation, which accounts for the rotational symmetry breaking of the flow, allows us to perform a first analytical study of the secondary instabilities of the 2D wake patterns. The results are applied toward the stability of oblique and "chevrons" patterns. A global overview of the origin, the dynamics, and the stability of oblique shedding patterns is finally given and compared to experimental data.

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10.1209/0295-5075/18/7/004