A system consisting of a pump and pipeline is being designed to deliver water (density = 62.4 lb_m/ƒt³) from a reservoir in the mountains down to the city 2800 ƒt below. The water must arrive at a water treatment plant in the city at a pressure of 450 psig.

The flow rate of water is to be 63.5 gal/s, for which the friction in the pipeline is estimated to be 4.9 hp s/lb_m. How many horsepower must the pump deliver?

1. Power is work/time and can be expressed in units of horsepower (hp) where 1 hp = 550 ƒt lb_ƒ/s.
2. Assume that the kinetic energy term for flow in the pipe (e.g., at the entrance to the treatment plant) is small compared with the other energy terms.
3. Remember that each termin the mechanical energy equation has units of energy (or work) per mass of fluid, while power has units of energy (or work) per time.

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Pump پسند Reservoir 2800 ft Pipeline P= 450 psig Treatment Plant