an:06336481
Zbl 1294.76115
Nagata, M.; Deguchi, K.
Mirror-symmetric exact coherent states in plane Poiseuille flow
EN
J. Fluid Mech. 735, Paper No. R4, 11 p. (2013).
00327707
2013
j
76E05 76E30 76F06
bifurcation; nonlinear instability; transition to turbulence
Summary: 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 [\textit{F. Waleffe}, Phys. Fluids 15, No. 6, Paper No. 1517, 18 p. (2003; Zbl 1186.76556)].
Reviewer (Berlin)
Zbl 1186.76556