7. Crude oil (specific gravity 0.86, kinematic viscosity 9.0 x 10-5 m/s ) is to be pumped from a barge to a large storage tank. The pipeline is horizontal and of diameter 250 mm, length 400 m and roughness 0.1 mm. It enters the tank 8 m below the level of oil in the tank (Fig. Prob. 7). When the control valve is fully open the static pressure at pump delivery is 3 x 105 Pa gauge. Ignore minor losses due to pipe fittings, entrance/exit losses etc. Find: 1) (using hydrostatics) the gauge pressure where the pipe enters the tank; 2) (from the pressures at the two ends) the head loss along the pipeline; 3) the volumetric flow rate in the pipeline. If the pump delivery pressure remains the same but a valve reduces the flow by half, find: 4) the head loss at the valve; 5) the power loss at the valve. (20Points) Pump Barge Fig. Prob. 7 Control valve 8m Storage tank