Question: 1. Consider steady axisymmetric flow in the entrance region of a pipe, that is, in the region in which the velocity profile is developing. Starting and assuming that along the centerline the influence of viscosity is negligible, derive a relation between centerline axial velocity and pressure.
2. Consider flow in the eccentric annulus of a journal bearing in which there is no .axial flow. Deduce the applicable laminar boundary-layer equations (continuity, momentum, energy) for a constant-density fluid; with uniform composition, in an appropriate coordinate system.