Question: Water falls down a vertical pipe by gravity alone. The flow between vertical locations z 1 and z 2 is fully developed, and velocity profiles

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

2 orol 12 = 2 22=2

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