4. A hydraulic turbine requires 2,000 gpm flow through a 10,000-ft-long pipe. The available head is 100

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4. A hydraulic turbine requires 2,000 gpm flow through a 10,000-ft-long pipe. The available head is 100 ft-lbf/lbm. The pipe is to be schedule 40 commercial steel, and a gate valve (C =

0.17 fully open) is available for flow control.

(a) Find the minimum standard pipe diameter required.

(b) For gate-valve settings of 3/4, 1/2, and 1/4 open, find the resulting flow rate.

(c) Plot the results of part

(b) as flow rate versus valve position.

(d) What does part

(c) say about control of low flow rates through this pipe?

(e) What is the C value for a closed valve?

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