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Oblique coherent structures in plane Couette flow

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If you have a question about this talk, please contact Dr C. P. Caulfield.

It is conjectured that exact coherent structures, finite-amplitude solutions to the Navier-Stokes equations, are key components to an understanding of turbulent dynamics. Exact coherent structures can form an invariant set about which chaos is supported, and it is thought that turbulence related phenomena are a manifestation of these chaotic dynamics. By continuation of tertiary states from supercritical, spanwise rotating plane Couette flow, we find obliquely oriented structures which persist in subcritical plane Couette flow. The structures emerge in a saddle-node bifurcation in plane Couette flow, similar to previously found coherent structures in the subcritical shear flows. We discuss the symmetry properties of our coherent structures, and investigate their relevance to oblique turbulent phenomena such as turbulent stripes.

This talk is part of the Fluid Mechanics (DAMTP) series.

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