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- W2000398618 abstract "Exact coherent states in no-slip plane Poiseuille flow are calculated by homotopy from free-slip to no-slip boundary conditions. These coherent states are unstable travelling waves. They consist of wavy low-speed streaks flanked by staggered streamwise vortices closely resembling the asymmetric coherent structures observed in the near-wall region of turbulent flows. The travelling waves arise from a saddle-node bifurcation at a sub-turbulent Reynolds number with wall-normal, spanwise and streamwise dimensions smaller than but comparable to 50 + , 100 + and 250 + , respectively. These coherent solutions come in pairs with distinct structure and instabilities. There is a three-dimensional continuum of such exact coherent states." @default.
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- W2000398618 date "2001-05-25" @default.
- W2000398618 modified "2023-10-14" @default.
- W2000398618 title "Exact coherent structures in channel flow" @default.
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- W2000398618 doi "https://doi.org/10.1017/s0022112001004189" @default.
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