Calculate the velocity profile, flow rate, and shear-stress function for downward, pressure-driven flow of an incompressible Newtonian liquid in a tube of circular cross section (Figure 7.4). The...

Calculate the velocity profile, flow rate, and shear-stress function for downward, pressure-driven flow of an incompressible Newtonian liquid in a tube of circular cross section (Figure 7.4). The pressure at an upstream point is p0; at a point a distance L downstream, the pressure is pL . Assume that the flow between these two points is fully developed (i.e., not affected by inlet or exit effects) and at steady state.