3-DIMENSIONAL TRAVELING-WAVE SOLUTIONS IN PLANE COUETTE-FLOW

Nonlinear three-dimensional time-dependent solution branches are obtai ned in plane Couette flow modified by plane Poiseuille flow component. It is found that as the Poiseuille component is added a branch of tim e-dependent solutions is produced From the time-independent solution b ranch in plane Couette flow, and that there exists a second branch of time-dependent solutions in the form of a closed loop inside the prima ry time-dependent solution branch. The second branch intersects the li ne of zero plane Poiseuille flow component at two points with nonvanis hing phase velocity for higher Reynolds numbers, creating shape preser ving nonlinear traveling-wave solutions in plane Couette flow.