An open tank contains $5 \mathrm{ft}$ of water. The tank drains through a piping system containing $1090^{\circ}$ elbows, 10 branched tees, 6 gate valves, and $40 \mathrm{ft}$ of horizontal Sch. 40 pipe. The surface of the water in the tank and the pipe discharge are both at atmospheric pressure. An entrance loss factor of 1.5 accounts for the tank-to-pipe friction loss and kinetic energy change. Calculate the flow rate (in gpm) and Reynolds number for the water draining through the system for nominal pipe diameters of $1 / 8,1 / 4,1 / 2,1,1.5,2,4,6,8,10$, and 12 in., including all of the aforementioned fittings, using (a) constant $K_{f}$ values, (b) $(L / D)_{e q}$ values, and (c) the 3-K method. Constant $K_{f}$ and $(L / D)_{e q}$ values from the literature are given here for these fittings:

Fitting	Constant $\boldsymbol{K}_{\boldsymbol{f}}$	$(\boldsymbol{L} / \boldsymbol{D})_{\text {eq }}$
$90^{\circ}$ elbow	0.75	30
Branched tee	1.0	60
Gate valve	0.17	8