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Q2. 35%. Write answers (symbolic and numerical) immediately below each part and show your key working steps on the next page. A pipeline in a flooded quarry supplies a flow to a jet pump used to extract sand from another part of the quarry bed. The pipeline has diameter D,-0.5m and a total length 500m from intake to nozzle. The diameter of the jet nozzle Dj-is 0.1m and the exit velocity of the jet is U₁. The pipes are steel, k,=0.1mm. p=1025kg/m³, μ-1x10³Ns/m². The intake and nozzle are at the same elevation. The discharge is Q=0.55m³/s. In total there are three 90° bends k90-0.8, and a valve. Valve, kv=0.6 Pump Pipeline Nozzle Intake, ke=0.2 a) Using s as the distance along the pipe (from intake to nozzle), sketch the energy and piezometric lines for the system, (use the space below). Assume atmospheric pressure at the water surface. (5%) H S b) Including all losses, specify the pump head required to achieve the stated discharge. (15%) c) With the loss coefficient given, find the force on the valve. Note that the absolute or gage pressure in the pipe are not needed to answer this question. (5%) d) Specify the pipe diameter required to carry a flow of Q=0.55m³/s over a distance L=1000m when the head loss must be limited to 70m. Use a steel pipe with k,-0.1mm. Ignore local losses. State the friction factor and Reynolds number. This part is not related to parts a)-c). (10%)