(a) Estimate the transition length at the entrance to a 15-mm tube through which 100 percent glycerol at 60°C is flowing at a velocity of 0.3 m/s. The density of glycerol is 1.240 kg/m³.

(b) Repeat part (a) for 100 percent n-propyl alcohol entering a 3-in. pipe at 30°C and a velocity of 7 ft/s. The density of n-propyl alcohol is 50 lb/ft³".