Fluid Dynamics in Action: (Mechanics)

[grandy]

Viscous fluid flows between two rigid boundaries at y=0, y=h, the lower boundary moving in the x direction with constant speed U. The upper boundary is at rest. The boundaries are porous and the vertical velocity is V (constant) at each one. Find the resulting flow.

 

[Tranquillity]

If I am not mistaken, you are looking for plane Couette flow!

Have a look at
http://www.maths.manchester.ac.uk/~dabrahams/MATH45111/files/lecture11.pdf (first three pages)

Note that in your problem, the moving plate and the one at rest, are the other way around!

Hope this helps!

Kindest regards