Abstract
Nonlinear three-dimensional time-dependent solution branches are obtained in plane Couette flow modified by plane Poiseuille flow component. It is found that as the Poiseuille component is added a branch of time-dependent solutions is produced from the time-independent solution branch in plane Couette flow, and that there exists a second branch of time-dependent solutions in the form of a closed loop inside the primary time-dependent solution branch. The second branch intersects the line of zero plane Poiseuille flow component at two points with nonvanishing phase velocity for higher Reynolds numbers, creating shape preserving nonlinear traveling-wave solutions in plane Couette flow.
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