a. In the previous problem, the reservoir surface is 300 m above the turbine nozzles and the water is supplied to the turbines by three pipelines, each 2 km long and of constant diameter. Using Darcy's formula, determine a suitable diameter for the pipes assuming the friction factor f = 0.006.
b. The chief designer of the scheme decides that a single pipeline would be more economical and that its cross-sectional area would need to be equal to the total cross-sectional area of the pipelines in the previous scheme. Determine the resulting friction head loss assuming that the friction factor remains the same and that the total flow rate is unchanged.