Consider the two reservoirs shown in the figure, connected by a single pipe that changes diameter over its length. The surfaces of the two reservoirs have a difference in level of 9m. The pipe has a diameter of 200 mm for the first 15m (from Reservoir A to C) then a diameter of 250 mm for the remaining 45m (from C to Reservoir B). For the entrance loss use k 0.5, 12. and for exit loss use k = 1.0. The expansion at C is sudden. For both pipes, f= 0.01. Find the %3D steady-state flow rate, Q, through the pipes. HINT: Consider series pipe head loss concept with Darcy-Weisbach friction loss formula. pipe 1 W diameter d, =,2m length L, = 15m 9m pipe 2 diameter d,-.25m length L, -45m B

Problem 4 Water flows in a rectangular channel with channel width B = 4.0 (m). The specific energy diagram (SED) of this flow is given in the figure below. (y =0.2 m) (1) Estimate the channel discharge Q from the given SED. (2) If the water depth in the channel at a cross section is y₁ = 0.45 (m). The channel bottom is raised smoothly by Az = 0.2 (m). Determine if the flow will be "choked" by the raised step. If yes, estimate the "backed up” depth upstream, y₁. If not, what is the water depth y₂ above the step? y (m) 0.55 0.5 0.45 0.4 0.35 > 0.3 0.25 0.2 0.15 0.1 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55 E (m)

- once answered correctly will UPVOTE!!