[10 pts] Consider two immiscible fluid as shown below. Two fluids are concentric with the centerline. The inner fluid has a viscosity of 2u and radius of Ri. The outer

fluid has viscosity of # and a radius of Rs. Assume steady,incompressible, fully developed flow in the x-direction only. a. Obtain a simplified form of Navier-Stokes equations in cylindrical coordinates for the flow. b. State the boundary conditions for the flow. (Hint: Velocity and shear stress at the interface between the two fluids must be continuous.) c. Solve for the velocity profiles in the fluids and sketch it.