A city is proposing to build a 24 mile long pipeline to transport water at a flow rate of 14.4 million gal/day. There is static elevation head of 250 ft from the originating pump station to the delivery terminus. A minimum delivery pressure of 50 psi is required at the pipeline terminus.
The pipeline operating pressure must be limited to 1000 psi using steel pipe with a yield strength of 52,000 psi. Determine the optimum pipe diameter and the HP required for pumping this volume on a continuous basis, assuming 350 days operation, 24 hr a day. Electricity costs for driving the pumps will be based on 8 cents/kWh. The interest rate on borrowed money is 8% per year. Use the Hazen-Williams equation for pressure drop with a C-factor of 100.
Assume $700/ton for pipe material cost and $20,000/inch-diametermile for pipeline construction cost. For pump stations, assume a total installed cost of $1500 per HP. To account for items other than pipe and pump stations in the total cost use a 25% factor.