Beginning with the Navier-Stokes equations and the continuity equation in cylindrical coordinates, derive the appropriate velocity relationship for laminar fully-developed flow through a round pipe (you can assume steady flow with constant density and viscosity where gravity is unimportant). Assume that the pipe has radius R and choose appropriate boundary conditions. You should determine the velocity as a function of r, R. viscosity, and pressure gradient. Draw the velocity distribution and the shear stress distribution vs. r for this flow.