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Question 7.P.15: Water flowing in a pipe of 500 mm dia suddenly passes into a......

Water flowing in a pipe of 500 mm dia suddenly passes into a pipe of 750 mm dia. Determine the loss of head if the initial velocity was 2 m/s.

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Ref. eqn 7.12.1. In this case,

\mathrm{Loss  of  head} = (u_{1}  –  u_{2})²/2g             (7.12.1)

h_{f} = (u_{2}  –  u_{1})²/2g,  u_{1} = 2  \mathrm{m/s},  u_{2} = 2 × (0.5/0.75)² = 0.889  \mathrm{m/s}.

∴\quad  h_{f} = (2  –  0.889)²/2 × 9.81 = 0.0629  \mathrm{m}.

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