Consider steady, incompressible flow maintained between two concentric cylinders by steady angular velocity of both cylinders. Let the inner cylinder have radius r0, angular velocity w0, and the outer cylinder has r1 and w1, respectively. Assume that there is no axial velocity and gravitational effect is negligible. Make appropriate assumptions if necessary. clearance (h = r1-r0) is NOT small. (Note: This was the problem of the final exam in 2014) (a) Derive an expression for the tangential velocity profile of the fluid between two cylinders. State all the assumptions that are necessary to reduce the governing equations (continuity and Navier-Stokes equations) you choose. Please indicate what assumptions are used to eliminate of the terms in the equation. State appropriate boundary conditions. (b) Determine the velocity profile in the limit as the outer cylinder becomes very large and remains fixed (r1 right arrow infinite, w1= 0).