this is not simple couette flow! the walls on the side have an effect on the velocity profile, but im not sure how. 1. Consider a two-dimensional rectangular region which is very long and narrow, and...

Extracted text: this is not simple couette flow! the walls on the side have an effect on the velocity profile, but im not sure how. 1. Consider a two-dimensional rectangular region which is very long and narrow, and filled with a fluid. Along one of the long walls is a conveyor belt, which moves with constant velocity U. Near the center of the region, far from the ends, the flow may be assumed to be parallel flow. Find U(y).