You are the only hydraulic engineer at the Niobrara River Engineering Company located in the small town of Valentine, Nebraska and as such have been given the task of answering a hydraulics question from the Valentine City Council. Due to a recent arson fire that destroyed most of the City's records, they have no idea as to the flow rate from the secondary potable water reservoir, located on the outskirts of town, to the main potable water reservoir located in the center of town. The Council does know that the water surface elevation difference between the upper secondary reservoir and the primary lower in-town reservoir is 65.6 feet and that the piping system connecting the two reservoirs is as follows: the initial single pipe discharging from the secondary reservoir, 200 meters in length with a diameter of 50 centimeters, connects to two parallel pipes, one 400 meters in length with a diameter of 20 centimeters and the other 400 meters in length with a diameter of 40 centimeters, which then connect back to a single pipe that connects to the primary in-town reservoir with a length of 500 meters and a diameter of 50 centimeters. All pipes have the same 0.30 friction factor (f). Required:
You must determine the flow rates that will occur in all four pipes.