Water falls down a vertical pipe by gravity alone. The flow between vertical locations z 1 and

Question:

Water falls down a vertical pipe by gravity alone. The flow between vertical locations z₁ and z₂ is fully developed, and velocity profiles at these two locations are sketched in Fig. P10–112. Since there is no forced pressure gradient, pressure P is constant everywhere in the flow (P = P_atm). Calculate the modified pressure at locations z₁ and z₂. Sketch profiles of modified pressure at locations z₁ and z₂. Discuss.

FIGURE P10–112