2.3 A fluid fills the space between two parallel disks. The lower one is stationary and the upper one rotates at a constant speed.

The velocity field is given as V =eθrωz h, where the origin of the coordinate system is at the center of the stationary disks and h is the height of the rotating disk. Determine the dimensions of the velocity field. State the appropriate boundary conditions on the lower and upper disks and show that the velocity field meets these conditions.