1) Problem 1 (40 pts): Consider a Newtonian fluid confined between two concentric cylinders as show in the figure below. Both cylinders are rotating with angular velocity of wi and W2 for the inner and outer cylinders, respectively. The rotation causes the fluid to flow. Assume that the flow is steady and laminar in the tangential direction only (ve), with no gravity forces and no pressure gradients in the u-direction. Determine the velocity profile of the fluid