1. An incompressible Newtonian fluid with a viscosity of and a density of flows steadily through a cylindrical tube with a radius of R and a length of L. The tube moves with velocity v0 in the downward direction and a cylindrical rod with a radius of aR is located on the tube axis. The pressure at both ends of the cylinders is the same. Figure 1. Flow through annular flow a. Find steady state velocity distribution of the fluid in the narrow annular region by making appropriate assumptions ( 15 points). b. Find the mass rate of flow through the annular region (10 points). c. Find shear stress acting on rod (5 points)