1. Consider steady, incompressible viscous flow in an annulus, the region between concentric circular cylinders, where the velocity is only in the z-direction out of the page. Find the velocity distribution, u(r). Find the limits as the annulus becomes small (R - R small) and as R approaches 0. Plot a suitable non-dimensional velocity versus r/R, for several values of R/R. R r R 2. Consider the unsteady and incompressible viscous flow in a circular pipe, under a time varying pressure gradient. Vp = k cos(wt) Find the velocity distribution, and the limits for small and large frequencies.