A swimming pool has a partial-flow filtration system. Water at 75 F is pumped from the pool through the system shown. The pump delivers 30 gpm. The pipe is nominal 3/4-in. PVC ðID = 0:824 in:Þ. The pressure loss through the filter is approximately Δp= 0:6 Q2, where Δp is in psi and Q is in gpm. Determine the pump pressure and the flow rate through each branch of the system.
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