Flow between three reservoirs (Chapra&Canale 2010, problem 8.43, p. 221)
Figure shows three reservoirs connected by circular pipes.
If the water surface elevations in Reservoirs A and C are 200 and 172.5 m, respectively, determine
the elevation in Reservoir B and the flows in pipes 1 and 3. Use the Bernoulli’s principle from fluid
dynamics to write the appropriate equations for the systems of pipes (1)+(2) and (1)+(3).
The Darcy-Weisbach formula can be used to calculate the pressure drop in the pipes: