Water leaves a treatment plant in a 450-mm diameter ductile-iron pipeline at a pressure of 600 kPa and at a flow rate of 0.5 m^3/s.
a) If the elevation of the pipeline at the treatment plant is 125 m, estimate the pressure in the pipeline 1 km downstream where the elevation if 110 m. Hint: Use the Colebrook equation to estimate f, and the energy equation to estimate P2 .
b) Assess whether the pressure in the pipeline would be sufficient to serve the top floor of a 10-story building at a height of 38 m. Hint: Use the energy equation again to find your new P. Check whether this pressure is adequate for service.