ME 3022 - HW 19 1. (More practice from Monday) A 90° elbow in a horizontal pipe is used to direct a flow of oil (SG = 0.87) upward at a rate of 40 kg/s. The cross- sectional diameter of the elbow is a constant 20 cm. The elbow discharges at A into a large holding tank where the level of oil is 1.8 m above A. The "weight" of the elbow and the oil in it is 50 kg. Determine (a) the gage pressure at the inlet of the elbow and (b) the anchoring force needed to hold the elbow stationary. Take the momentum-flux correction factor to be 1.03 50 cm 40 kg/s • at both the inlet and the outlet.

Three immiscible fluids are contained in a tank: 1.0 m of water, 1.20 m of oil (s= 0.80), and air under a pressure of 16 kPa. The tank is closed and has a height of 3.0 m and a diameter of 1.0 m. Find the theoretical velocity through a 5 cm diameter orifice located 30 cm above the bottom of the tank. Answers: a. 8.03 m/s b.12.56 m/s c.15.8 m/s d.10.34 m/s

A jet impinges on a splitter block. The incoming jet is horizontal and has a flow rate of Q1 = 8000 cm3/s and a cross-sectional area of A1 = 40 cm2. The block splits the jet in to two smaller jets. One is deflected upward by 45o, and has a flow rate of Q2 = 6000 cm3/s and a cross-sectional area of A2 = 30 cm2. The other jet is deflected downward by 45o, and has a flow rate of Q3 = 2000 cm3/s and a cross-sectional area of A3 = 10 cm2. You may assume that the pressure everywhere is equal to atmospheric pressure, and the density of the fluid is 1000 kg/m3. A)Find the horizontal momentum flux in, φ˙x,in B)Find the horizontal momentum flux out, φ˙x,out C)Find the horizontal force that the fluid exerts on the block FR,x