Abstract
Two new families of exact coherent states are found in plane Poiseuille flow. They are obtained from the stationary and the travelling-wave mirror-symmetric solutions in plane Couette flow by a homotopy continuation. They are characterized by the mirror symmetry inherited from those continued solutions in plane Couette flow. The first family arises from a saddle-node bifurcation and the second family bifurcates by breaking the top-bottom symmetry of the first family. We find that both families exist below the minimum saddle-node-point Reynolds number known to date (Waleffe, Phys. Fluids, vol. 15, 2003, pp. 1517-1534).
| Original language | English |
|---|---|
| Article number | R4 |
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | Journal of Fluid Mechanics |
| Volume | 735 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
Keywords
- bifurcation
- nonlinear instability
- transition to turbulence