Question: (50 Points) Consider a pump station involving three pumps (Model 3756) where two pumps are connected in parallel and another pump is in series with
(50 Points) Consider a pump station involving three pumps (Model 3756) where two pumps are connected in parallel and another pump is in series with other two. These pumps are delivering oil (specific gravity = 0.9 and viscosity is 5 centipoise) from a tanker to a storage facility (atmospheric pressure) at an elevation, Hmax, using 4-inch, schedule 40 commercial steel pipeline. Due to geometrical restrictions of the terraced terrain, pipeline needs to use a 90 standard elbow (threaded) after every 4 ft pipe length (all in the vertical direction) and each terrace is 3 ft in height. All other minor losses can be neglected. (a) (5 pts) If the Pump A is operating at the Best efficiency Point (BEP), what is the volumetric flow rate in Pump B and Pump C? (b) (5 pts) If the Pump A is operating at the Best efficiency Point (BEP), what is the total head generated by the pump station? (c) (30 pts) If the Pump A is operating at the Best efficiency Point (BEP), determine the furthest distance, Xmax and the highest elevation Hmax, where the storage tank can be placed away from the pump station. Assume the abovementioned process is steady-state. (Hint: What is the relationship between Xmax, Hmax, and the pipe length? Assume the beginning and the ending of the pipe is horizontal)
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